Inequalities Worksheet
1 Write the inequality that matches the
a graph.
.
1 Plot the inequality a ≥ –6.
b
.
2 Plot the inequality r ≤ –7.
a
.
2 Write the inequality that matches the
b graph.
.
3 Write the inequality that matches the
a graph.
.
3 Plot the inequality n < –11.
b
.
4 Plot the inequality u ≤ 5.
a
.
4 Write the inequality that matches the
b graph.
.
Page 2
Answer Key
1
a.
1
b.
x ≥ 10
2
a.
a ≥ –6
2
b.
r ≤ –7
x<7
3
a.
3
b.
x ≥ –14
4
a.
n < –11
4
b.
u≤5
x≤5
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permission. Copyright www.HomeschoolMath.net
Inequalities Worksheet
1 Plot the inequality d ≤ 45.
a
.
1 Plot the inequality q ≥ 40.
b
.
2 Write the inequality that matches the
a graph.
.
2 Plot the inequality q > 28.
b
.
3 Plot the inequality k < 46.
a
.
3 Write the inequality that matches the
b graph.
.
4 Write the inequality that matches the
a graph.
.
4 Write the inequality that matches the
b graph.
.
Page 2
Answer Key
1
a.
1
b.
d ≤ 45
2
a.
q ≥ 40
2
b.
x ≤ 38
q > 28
3
a.
3
b.
k < 46
4
a.
x > 18
4
b.
x>4
x ≥ 41
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permission. Copyright www.HomeschoolMath.net
Inequalities Worksheet
1 Plot the inequality k > 34.
a
.
1 Write the inequality that matches the
b graph.
.
2 Plot the inequality t ≤ –78.
a
.
2 Plot the inequality d > 21.
b
.
3 Plot the inequality n ≤ –49.
a
.
3 Write the inequality that matches the
b graph.
.
4 Plot the inequality v < 22.
a
.
4 Plot the inequality s < –51.
b
.
Page 2
Answer Key
1
a.
1
b.
k > 34
2
a.
x > 42
2
b.
t ≤ –78
d > 21
3
a.
3
b.
n ≤ –49
4
a.
x ≤ 50
4
b.
v < 22
s < –51
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permission. Copyright www.HomeschoolMath.net
Math Worksheet
1 a.
5 + 8 = ______
1 b.
3 + 6 = ______
2 a.
2 + 1 = ______
2 b.
8 + (-7) = ______
3 a.
3 + (-9) = ______
3 b.
(-6) + (-2) = ______
4 a.
5 + (-5) = ______
4 b.
0 + (-6) = ______
5 a.
(-5) + 4 = ______
5 b.
(-2) + 4 = ______
6 a.
10 + (-2) = ______
6 b.
0 + 8 = ______
7 a.
(-7) + 1 = ______
7 b.
5 + (-3) = ______
8 a.
2 + 2 = ______
8 b.
9 + (-10) = ______
9 a.
4 + (-9) = ______
9 b.
(-6) + (-7) = ______
10
a.
0 + (-1) = ______
10
b.
(-3) + 2 = ______
Page 2
Answer Key
1 a.
13
1 b.
9
2 a.
3
2 b.
1
3 a.
-6
3 b.
-8
4 a.
0
4 b.
-6
5 a.
-1
5 b.
2
6 a.
8
6 b.
8
7 a.
-6
7 b.
2
8 a.
4
8 b.
-1
9 a.
-5
9 b.
-13
10 a.
-1
10 b.
-1
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permission. Copyright www.HomeschoolMath.net
Math Worksheet
1 a.
(-29) + (-14) = ______
1 b.
26 + (-23) = ______
2 a.
7 + (-20) = ______
2 b.
13 + (-9) = ______
3 a.
(-25) + 30 = ______
3 b.
19 + 21 = ______
4 a.
(-23) + 30 = ______
4 b.
(-24) + (-3) = ______
5 a.
(-23) + (-15) = ______
5 b.
(-28) + 3 = ______
6 a.
(-23) + 3 = ______
6 b.
(-16) + 6 = ______
7 a.
(-24) + (-13) = ______
7 b.
7 + (-8) = ______
8 a.
(-27) + 5 = ______
8 b.
(-1) + (-29) = ______
9 a.
5 + (-20) = ______
9 b.
30 + 2 = ______
10
a.
25 + (-28) = ______
10
b.
(-11) + (-28) = ______
Page 2
Answer Key
1 a.
-43
1 b.
3
2 a.
-13
2 b.
4
3 a.
5
3 b.
40
4 a.
7
4 b.
-27
5 a.
-38
5 b.
-25
6 a.
-20
6 b.
-10
7 a.
-37
7 b.
-1
8 a.
-22
8 b.
-30
9 a.
-15
9 b.
32
10 a.
-3
10 b.
-39
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permission. Copyright www.HomeschoolMath.net
Addition Worksheet
Solve.
1 a.
(–15) + (–1) + 7 = ______
1 b.
(–5) + (–8) + 3 = ______
2 a.
(–4) + 7 + 2 = ______
2 b.
10 + (–9) + (–9) = ______
3 a.
12 + 4 + 4 = ______
3 b.
12 + (–1) + (–8) = ______
4 a.
16 + (–5) + (–3) = ______
4 b.
(–9) + (–6) + 10 = ______
5 a.
0 + (–8) + (–6) = ______
5 b.
10 + (–10) + 4 = ______
6 a.
(–16) + 9 + (–6) = ______
6 b.
(–10) + 9 + (–9) = ______
7 a.
7 + (–9) + (–2) = ______
7 b. (–16) + 4 + (–10) = ______
8 a. (–17) + (–5) + (–4) = ______
8 b.
10 + 3 + (–10) = ______
9 a. (–1) + (–7) + (–10) = ______
9 b.
10 a. 5 + 10 + 6 = ______
10 b. 13 + (–5) + (–8) = ______
(–19) + (–3) + 6 = ______
Page 2
Answer Key
1 a.
–9
1 b.
–10
2 a.
5
2 b.
–8
3 a.
20
3 b.
3
4 a.
8
4 b.
–5
5 a.
–14
5 b.
4
6 a.
–13
6 b.
–10
7 a.
–4
7 b.
–22
8 a.
–26
8 b.
3
9 a.
–18
9 b.
–16
10 a. 21
10 b. 0
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permission. Copyright www.HomeschoolMath.net
Addition Worksheet
Solve.
1 (–10) + (–1) + 7 + (–9) =
b.______
1 a.
14 + 5 + 8 + (–7) = ______
2 a.
(–5) + 7 + 3 + (–1) = ______ 2 b. 3 + (–1) + (–5) + 0 = ______
3 a.
(–13) + 2 + 9 + 4 = ______
3 b.
5 + (–8) + 3 + (–6) = ______
4 a.
10 + 8 + (–5) + 10 = ______ 4 b. 10 + (–6) + 2 + (–2) = ______
5 a.
2 + 2 + (–6) + 3 = ______
6 a.
9 + 7 + (–8) + (–2) = ______ 6 b.
7 (–12) + 6 + (–5) + (–2) =
a.______
8 a.
5 b.
4 + 6 + (–4) + (–2) = ______
(–15) + 1 + 8 + 6 = ______
7 b.
13 + (–9) + 5 + 5 = ______
2 + (–8) + 10 + 15 = ______
8 1 + (–3) + (–4) + (–2) = ______
b.
9 a. (–6) + 2 + (–4) + 10 = ______ 9 b.
8 + 6 + 7 + (–1) = ______
10 a. (–3) + (–5) + 0 + 8 = ______ 10 b. 4 + 3 + 1 + 3 = ______
Page 2
Answer Key
1 a.
20
1 b.
–13
2 a.
4
2 b.
–3
3 a.
2
3 b.
–6
4 a.
23
4 b.
4
5 a.
1
5 b.
4
6 a.
6
6 b.
0
7 a.
–13
7 b.
19
8 a.
14
8 b.
–8
9 a.
2
9 b.
20
10 a. 0
10 b. 11
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permission. Copyright www.HomeschoolMath.net
Addition Worksheet
Solve.
1 a.
(–4) + ___ = –11
1 b.
(–5) + ___ = –2
2 a.
(–5) + ___ = 2
2 b.
___ + (–3) = 5
3 a.
___ + (–5) = –9
3 b.
___ + (–1) = –9
4 a.
(–7) + ___ = –13
4 b.
1 + ___ = –4
5 a.
(–6) + ___ = –12
5 b.
___ + (–4) = 6
6 a.
(–10) + ___ = –16
6 b.
(–9) + ___ = –8
7 a.
(–4) + ___ = 4
7 b.
___ + (–9) = –4
8 a.
___ + (–8) = –16
8 b.
___ + (–8) = –3
9 a.
(–2) + ___ = –12
9 b.
2 + ___ = –1
10 a. ___ + 1 = –5
10 b. (–5) + ___ = –9
Page 2
Answer Key
1 a.
(–7)
1 b.
3
2 a.
7
2 b.
8
3 a.
(–4)
3 b.
(–8)
4 a.
(–6)
4 b.
(–5)
5 a.
(–6)
5 b.
10
6 a.
(–6)
6 b.
1
7 a.
8
7 b.
5
8 a.
(–8)
8 b.
5
9 a.
(–10)
9 b.
(–3)
10 a. (–6)
10 b. (–4)
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permission. Copyright www.HomeschoolMath.net
Addition Worksheet
Solve.
1 a.
2 + ______ + (–6) = –14
1 b.
______ + 4 + (–6) = –5
2 a.
5 + ______ + (–2) = 8
2 b.
9 + (–10) + ______ = 1
3 a.
7 + ______ + 7 = 7
3 b.
______ + (–2) + (–7) = –10
4 a.
______ + (–8) + 4 = 3
4 b.
______ + (–7) + 0 = –8
5 a.
______ + 4 + 0 = –1
5 b.
______ + (–1) + 7 = 9
6 a.
______ + (–4) + (–2) = –10 6 b.
______ + (–10) + (–2) = –10
7 a.
(–6) + (–7) + ______ = –21 7 b.
______ + (–1) + (–5) = 0
8 a.
(–8) + ______ + (–1) = –15 8 b.
______ + (–2) + (–4) = –13
9 a.
______ + (–10) + (–3) = –16 9 b.
(–6) + (–10) + ______ = –6
10 a. 9 + (–10) + ______ = –8
10 b. ______ + (–3) + (–9) = –3
Page 2
Answer Key
1 a.
(–10)
1 b.
(–3)
2 a.
5
2 b.
2
3 a.
(–7)
3 b.
(–1)
4 a.
7
4 b.
(–1)
5 a.
(–5)
5 b.
3
6 a.
(–4)
6 b.
2
7 a.
(–8)
7 b.
6
8 a.
(–6)
8 b.
(–7)
9 a.
(–3)
9 b.
10
10 a. (–7)
10 b. 9
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permission. Copyright www.HomeschoolMath.net
Math Worksheet
1 a.
(-7) – 4 = ______
1 b.
9 – 9 = ______
2 a.
7 – 1 = ______
2 b.
(-7) – 5 = ______
3 a.
(-8) – 5 = ______
3 b.
4 – (-1) = ______
4 a.
7 – (-2) = ______
4 b.
1 – (-7) = ______
5 a.
(-7) – (-5) = ______
5 b.
3 – (-9) = ______
6 a.
(-1) – 10 = ______
6 b.
4 – (-7) = ______
7 a.
3 – (-1) = ______
7 b.
1 – (-8) = ______
8 a.
(-1) – (-9) = ______
8 b.
(-4) – 5 = ______
9 a.
(-9) – 0 = ______
9 b.
7 – 9 = ______
10
a.
3 – (-7) = ______
10
b.
6 – (-5) = ______
Page 2
Answer Key
1 a.
-11
1 b.
0
2 a.
6
2 b.
-12
3 a.
-13
3 b.
5
4 a.
9
4 b.
8
5 a.
-2
5 b.
12
6 a.
-11
6 b.
11
7 a.
4
7 b.
9
8 a.
8
8 b.
-9
9 a.
-9
9 b.
-2
10 a.
10
10 b.
11
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permission. Copyright www.HomeschoolMath.net
Math Worksheet
1 a.
(-14) – 26 = ______
1 b.
26 – (-10) = ______
2 a.
12 – 7 = ______
2 b.
8 – 14 = ______
3 a.
(-23) – 9 = ______
3 b.
18 – (-30) = ______
4 a.
29 – 23 = ______
4 b.
7 – 14 = ______
5 a.
11 – (-17) = ______
5 b.
1 – 15 = ______
6 a.
(-20) – (-24) = ______
6 b.
12 – (-14) = ______
7 a.
20 – (-6) = ______
7 b.
0 – (-4) = ______
8 a.
(-17) – (-2) = ______
8 b.
24 – (-20) = ______
9 a.
(-28) – (-3) = ______
9 b.
(-13) – 20 = ______
10
a.
10 – (-22) = ______
10
b.
(-10) – (-8) = ______
Page 2
Answer Key
1 a.
-40
1 b.
36
2 a.
5
2 b.
-6
3 a.
-32
3 b.
48
4 a.
6
4 b.
-7
5 a.
28
5 b.
-14
6 a.
4
6 b.
26
7 a.
26
7 b.
4
8 a.
-15
8 b.
44
9 a.
-25
9 b.
-33
10 a.
32
10 b.
-2
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permission. Copyright www.HomeschoolMath.net
Math Worksheet
1 a.
______ – 5 = (-3)
1 b.
______ – 1 = 2
2 a.
(-9) – ______ = (-7)
2 b.
9 – ______ = 14
3 a.
4 – ______ = 6
3 b.
(-5) – ______ = 4
4 a.
______ – (-3) = 0
4 b.
______ – (-8) = 5
5 a.
______ – 9 = (-16)
5 b.
(-8) – ______ = (-1)
6 a.
______ – (-8) = (-2)
6 b.
______ – (-7) = 16
7 a.
(-1) – ______ = (-5)
7 b.
______ – (-9) = 1
8 a.
2 – ______ = (-4)
8 b.
______ – 4 = (-2)
9 a.
(-9) – ______ = 0
9 b.
______ – (-6) = 16
10
a.
1 – ______ = (-8)
10
b.
______ – (-3) = 10
Page 2
Answer Key
1 a.
2
1 b.
3
2 a.
(-2)
2 b.
(-5)
3 a.
(-2)
3 b.
(-9)
4 a.
(-3)
4 b.
(-3)
5 a.
(-7)
5 b.
(-7)
6 a.
(-10)
6 b.
9
7 a.
4
7 b.
(-8)
8 a.
6
8 b.
2
9 a.
(-9)
9 b.
10
10 a.
9
10 b.
7
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permission. Copyright www.HomeschoolMath.net
Homeschoolmath.net
Decimals Worksheet
Solve.
1 a.
-7 – 5 – 3 = _____
1 b.
-12 – (-5) – (-6) = _____
2 a.
-2 – (-8) – 7 = _____
2 b.
-6 – 7 – 1 = _____
3 a.
2 – (-1) – (-2) = _____
3 b.
-11 – (-9) – 11 = _____
4 a.
8 – 5 – (-10) = _____
4 b.
1 – 2 – 10 = _____
5 a.
-1 – 12 – (-11) = _____
5 b.
4 – (-8) – (-12) = _____
6 a.
-7 – 4 – 10 = _____
6 b.
8 – 12 – (-3) = _____
7 a.
3 – 8 – 1 = _____
7 b.
-12 – 2 – 7 = _____
8 a.
11 – (-1) – 6 = _____
8 b.
11 – 0 – (-11) = _____
9 a.
-3 – (-8) – (-5) = _____
9 b.
5 – 5 – 7 = _____
10 a. 7 – (-1) – (-9) = _____
10 b. -3 – (-3) – (-7) = _____
11 a. -8 – 4 – 0 = _____
11 b. -1 – (-5) – 10 = _____
12 a. 8 – (-2) – (-11) = _____
12 b. 1 – (-2) – (-12) = _____
Page 2
Answer Key
1 a.
-15
1 b.
-1
2 a.
-1
2 b.
-14
3 a.
5
3 b.
-13
4 a.
13
4 b.
-11
5 a.
-2
5 b.
24
6 a.
-21
6 b.
-1
7 a.
-6
7 b.
-21
8 a.
6
8 b.
22
10
9 a.
9 b.
-7
10 a. 17
10 b. 7
11 a. -12
11 b. -6
12 a. 21
12 b. 15
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permission. Copyright www.HomeschoolMath.net
Decimals Worksheet
Solve.
1 a.
-1 – 2 – 5 – (-12) = _____
1 b.
-5 – 9 – (-6) – 12 = _____
2 a.
5 – 2 – (-1) – 8 = _____
2 b.
1 – (-4) – (-4) – 0 = _____
3 a.
11 – 8 – 5 – 0 = _____
3 b.
6 – 0 – (-6) – 12 = _____
4 a.
-3 – (-8) – (-8) – (-3) = _____
4 b.
-6 – (-12) – (-7) – 8 = _____
5 a.
11 – 11 – (-12) – (-9) = _____
5 b.
12 – 2 – 8 – 7 = _____
6 a.
4 – 3 – 11 – 11 = _____
6 b.
-5 – (-4) – (-8) – 2 = _____
7 a.
7 – (-10) – (-8) – 1 = _____
7 b.
-3 – (-11) – 6 – (-9) = _____
8 a.
0 – 9 – 9 – (-10) = _____
8 b.
1 – (-3) – 2 – (-12) = _____
9 a.
6 – 11 – 1 – (-5) = _____
9 b.
-4 – (-3) – 0 – 3 = _____
10 a. 2 – 12 – 2 – (-11) = _____
10 b. -11 – 2 – (-6) – 4 = _____
11 a. 8 – 10 – 9 – 5 = _____
11 b. 3 – (-9) – (-11) – 0 = _____
12 a. -6 – 5 – 2 – 10 = _____
12 b. 11 – (-4) – (-4) – (-10) = _____
Page 2
Answer Key
1 a.
4
1 b.
-20
2 a.
-4
2 b.
9
3 a.
-2
3 b.
0
4 a.
16
4 b.
5
5 a.
21
5 b.
-5
6 a.
-21
6 b.
5
7 a.
24
7 b.
11
8 a.
-8
8 b.
14
9 a.
-1
9 b.
-4
10 a. -1
10 b. -11
11 a. -16
11 b. 23
12 a. -23
12 b. 29
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permission. Copyright www.HomeschoolMath.net
Math Worksheet
1 a. 1 – 6 = ______
1 b. (-13) + 0 = ______
2 a. 19 + (-3) = ______
2 b. (-20) – (-18) = ______
3 a. 2 + (-9) = ______
3 b. 18 + 19 = ______
4 a. 11 – 6 = ______
4 b. (-18) + 10 = ______
5 a. 11 + (-4) = ______
5 b. (-1) – (-3) = ______
6 a. (-17) + (-7) = ______
6 b. 12 – (-2) = ______
7 a. 15 – (-17) = ______
7 b. 4 + (-4) = ______
8 a. (-13) – 19 = ______
8 b. 12 – (-5) = ______
9 a. (-15) – 8 = ______
9 b. (-20) – 9 = ______
10
a. (-13) + 5 = ______
10
b. (-5) + (-3) = ______
11
a. (-1) + (-14) = ______
11
b. 8 + 19 = ______
12
a. (-17) + (-16) = ______
12
b. 16 + 7 = ______
Page 2
Answer Key
1 a.
-5
1 b.
-13
2 a.
16
2 b.
-2
3 a.
-7
3 b.
37
4 a.
5
4 b.
-8
5 a.
7
5 b.
2
6 a.
-24
6 b.
14
7 a.
32
7 b.
0
8 a.
-32
8 b.
17
9 a.
-23
9 b.
-29
10 a.
-8
10 b.
-8
11 a.
-15
11 b.
27
12 a.
-33
12 b.
23
Math Worksheet
1 a. 16 + ______ = (-1)
1 b. 1 + ______ = (-2)
2 a. ______ – (-12) = 18
2 b. (-16) + ______ = (-2)
3 a. ______ – 9 = 1
3 b. ______ + (-9) = (-14)
4 a. (-16) + ______ = (-28)
4 b. ______ – (-6) = (-3)
5 a. (-15) + ______ = (-26)
5 b. ______ – 3 = 9
6 a. ______ – 20 = (-10)
6 b. (-4) – ______ = (-11)
7 a. ______ + 6 = (-6)
7 b. (-6) + ______ = (-8)
8 a. ______ + 4 = (-16)
8 b. (-7) + ______ = 2
9 a. ______ – (-10) = (-3)
9 b. ______ – 1 = 15
10
a. ______ + (-8) = (-19)
10
b. (-3) – ______ = (-21)
11
a. (-12) – ______ = (-1)
11
b. ______ – 8 = 4
12
a. (-7) + ______ = 13
12
b. ______ + (-9) = (-20)
Page 2
Answer Key
1 a.
(-17)
1 b.
(-3)
2 a.
6
2 b.
14
3 a.
10
3 b.
(-5)
4 a.
(-12)
4 b.
(-9)
5 a.
(-11)
5 b.
12
6 a.
10
6 b.
7
7 a.
(-12)
7 b.
(-2)
8 a.
(-20)
8 b.
9
9 a.
(-13)
9 b.
16
10 a.
(-11)
10 b.
18
11 a.
(-11)
11 b.
12
12 a.
20
12 b.
(-11)
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permission. Copyright www.HomeschoolMath.net
Math Worksheet
1 a. 16 + ______ = (-1)
1 b. 1 + ______ = (-2)
2 a. ______ – (-12) = 18
2 b. (-16) + ______ = (-2)
3 a. ______ – 9 = 1
3 b. ______ + (-9) = (-14)
4 a. (-16) + ______ = (-28)
4 b. ______ – (-6) = (-3)
5 a. (-15) + ______ = (-26)
5 b. ______ – 3 = 9
6 a. ______ – 20 = (-10)
6 b. (-4) – ______ = (-11)
7 a. ______ + 6 = (-6)
7 b. (-6) + ______ = (-8)
8 a. ______ + 4 = (-16)
8 b. (-7) + ______ = 2
9 a. ______ – (-10) = (-3)
9 b. ______ – 1 = 15
10
a. ______ + (-8) = (-19)
10
b. (-3) – ______ = (-21)
11
a. (-12) – ______ = (-1)
11
b. ______ – 8 = 4
12
a. (-7) + ______ = 13
12
b. ______ + (-9) = (-20)
Page 2
Answer Key
1 a.
(-17)
1 b.
(-3)
2 a.
6
2 b.
14
3 a.
10
3 b.
(-5)
4 a.
(-12)
4 b.
(-9)
5 a.
(-11)
5 b.
12
6 a.
10
6 b.
7
7 a.
(-12)
7 b.
(-2)
8 a.
(-20)
8 b.
9
9 a.
(-13)
9 b.
16
10 a.
(-11)
10 b.
18
11 a.
(-11)
11 b.
12
12 a.
20
12 b.
(-11)
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permission. Copyright www.HomeschoolMath.net
Math Worksheet
1 a.
14 × (-7) = ______
1 b.
4 × (-5) = ______
2 a.
(-6) × (-5) = ______
2 b.
(-8) × 16 = ______
3 a.
1 × 14 = ______
3 b.
16 × 6 = ______
4 a.
9 × 8 = ______
4 b.
(-2) × (-9) = ______
5 a.
7 × 0 = ______
5 b.
5 × 17 = ______
6 a.
(-7) × (-3) = ______
6 b.
16 × (-9) = ______
7 a.
(-2) × 10 = ______
7 b.
(-4) × (-4) = ______
8 a.
4 × 7 = ______
8 b.
(-8) × 19 = ______
9 a.
(-13) × (-2) = ______
9 b.
(-8) × (-6) = ______
10
a.
15 × (-7) = ______
10
b.
(-3) × (-2) = ______
Page 2
Answer Key
1 a.
-98
1 b.
-20
2 a.
30
2 b.
-128
3 a.
14
3 b.
96
4 a.
72
4 b.
18
5 a.
0
5 b.
85
6 a.
21
6 b.
-144
7 a.
-20
7 b.
16
8 a.
28
8 b.
-152
9 a.
26
9 b.
48
10 a.
-105
10 b.
6
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permission. Copyright www.HomeschoolMath.net
Math Worksheet
1 a.
(-3) × ______ = (-27)
1 b.
______ × 7 = 49
2 a.
9 × ______ = 72
2 b.
(-7) × ______ = 35
3 a.
8 × ______ = 80
3 b.
(-6) × ______ = 6
4 a.
______ × (-5) = 45
4 b.
______ × 4 = 28
5 a.
______ × 0 = 0
5 b.
______ × (-4) = 16
6 a.
(-1) × ______ = 1
6 b.
6 × ______ = (-24)
7 a.
3 × ______ = (-30)
7 b.
______ × 7 = (-49)
8 a.
(-8) × ______ = 32
8 b.
(-5) × ______ = 25
9 a.
(-10) × ______ = (-20)
9 b.
(-8) × ______ = 72
10
a.
9 × ______ = 90
10
b.
2 × ______ = 6
Page 2
Answer Key
1 a.
9
1 b.
7
2 a.
8
2 b.
(-5)
3 a.
10
3 b.
(-1)
4 a.
(-9)
4 b.
7
5 a.
6
5 b.
(-4)
6 a.
(-1)
6 b.
(-4)
7 a.
(-10)
7 b.
(-7)
8 a.
(-4)
8 b.
(-5)
9 a.
2
9 b.
(-9)
10 a.
10
10 b.
3
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permission. Copyright www.HomeschoolMath.net
Math Worksheet
1 a.
(-40) × 7 = _______
1 b.
(-20) × 9 = _______
2 a.
60 × (-1) = _______
2 b.
90 × (-6) = _______
3 a.
(-20) × 7 = _______
3 b.
(-10) × 0 = _______
4 a.
70 × (-4) = _______
4 b.
(-60) × 4 = _______
5 a.
20 × 10 = _______
5 b.
60 × 9 = _______
6 a.
90 × (-3) = _______
6 b.
(-100) × 1 = _______
7 a.
(-50) × 6 = _______
7 b.
40 × 5 = _______
8 a.
(-70) × (-3) = _______
8 b.
20 × 0 = _______
9 a.
100 × 0 = _______
9 b.
20 × 2 = _______
10
a.
(-50) × (-3) = _______
10
b.
100 × 7 = _______
Page 2
Answer Key
1 a.
-280
1 b.
-180
2 a.
-60
2 b.
-540
3 a.
-140
3 b.
-0
4 a.
-280
4 b.
-240
5 a.
200
5 b.
540
6 a.
-270
6 b.
-100
7 a.
-300
7 b.
200
8 a.
210
8 b.
0
9 a.
0
9 b.
40
10 a.
150
10 b.
700
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permission. Copyright www.HomeschoolMath.net
Decimals Worksheet
Solve.
14 · (-9-8-7-6-5-4-3-2-1123456789) · (-
9-8-7-6-5-4-3-2-1123456789) = _____
1-9-8-7-6-5-4-3-2-1123456789 · (-2) ·
(-9-8-7-6-5-4-3-2-1123456789) =
a
.
b_____
.
2-6 · (-9-8-7-6-5-4-3-2-1123456789) · (-
2-9-8-7-6-5-4-3-2-1123456789 · 3 · (-9-
9-8-7-6-5-4-3-2-1123456789) = _____
8-7-6-5-4-3-2-1123456789) = _____
a
.
b
.
3
-1 · (-9-8-7-6-5-4-3-2-1123456789) · (9-8-7-6-5-4-3-2-1123456789) = _____
a
3
.
.
4
4-9-8-7-6-5-4-3-2-1123456789 · (-5) ·
.
b_____
.
-9-8-7-6-5-4-3-2-1123456789 · (-3) · (9-8-7-6-5-4-3-2-1123456789) = _____
a
0 · (-9-8-7-6-5-4-3-2-1123456789) · (9-8-7-6-5-4-3-2-1123456789) = _____
b
(-9-8-7-6-5-4-3-2-1123456789) =
5-9-8-7-6-5-4-3-2-1123456789 · 4 · (-9-
5-9-8-7-6-5-4-3-2-1123456789 · (-1) ·
8-7-6-5-4-3-2-1123456789) = _____
a
.
b_____
.
6-9-8-7-6-5-4-3-2-1123456789 · 6 · (-9-
6-9-8-7-6-5-4-3-2-1123456789 · 0 · (-9-
8-7-6-5-4-3-2-1123456789) = _____
(-9-8-7-6-5-4-3-2-1123456789) =
8-7-6-5-4-3-2-1123456789) = _____
a
.
b
.
7
2 · (-9-8-7-6-5-4-3-2-1123456789) · (9-8-7-6-5-4-3-2-1123456789) = _____
a
7
.
.
8
8-9-8-7-6-5-4-3-2-1123456789 · (-4) ·
.
b_____
.
-9-8-7-6-5-4-3-2-1123456789 · (-6) · (9-8-7-6-5-4-3-2-1123456789) = _____
a
6 · (-9-8-7-6-5-4-3-2-1123456789) · (9-8-7-6-5-4-3-2-1123456789) = _____
b
(-9-8-7-6-5-4-3-2-1123456789) =
9-2 · (-9-8-7-6-5-4-3-2-1123456789) · (-
9-8-7-6-5-4-3-2-1123456789) = _____
9-3 · (-9-8-7-6-5-4-3-2-1123456789) ·
(-9-8-7-6-5-4-3-2-1123456789) =
a
.
b_____
.
1-5 · (-9-8-7-6-5-4-3-2-1123456789) ·
0
13 · (-9-8-7-6-5-4-3-2-1123456789) · (09-8-7-6-5-4-3-2-1123456789) =
b_____
.
(-9-8-7-6-5-4-3-2-1123456789) =
a_____
.
1-9-8-7-6-5-4-3-2-1123456789 · 5 · (19-8-7-6-5-4-3-2-1123456789) =
a_____
.
1-4 · (-9-8-7-6-5-4-3-2-1123456789) ·
1
1-9-8-7-6-5-4-3-2-1123456789 · 2 · (29-8-7-6-5-4-3-2-1123456789) =
a_____
.
1-9-8-7-6-5-4-3-2-1123456789 · 1 · (29-8-7-6-5-4-3-2-1123456789) =
b_____
.
(-9-8-7-6-5-4-3-2-1123456789) =
b_____
.
Page 2
Answer Key
1 a.
324
1 b.
-162
2 a.
-486
2 b.
243
3 a.
-81
3 b.
0
4 a.
-243
4 b.
-405
5 a.
324
5 b.
-81
6 a.
486
6 b.
0
7 a.
162
7 b.
486
8 a.
-486
8 b.
-324
9 a.
-162
9 b.
-243
10 a. -405
10 b. 243
11 a. 405
11 b. -324
12 a. 162
12 b. 81
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permission. Copyright www.HomeschoolMath.net
Decimals Worksheet
Solve.
1-4 · (-9-8-7-6-5-4-3-2-11234567) · (-9-
8-7-6-5-4-3-2-11234567) · (-9-8-7-6-5-
1-9-8-7-6-5-4-3-2-11234567 · (-2) · (-9-
8-7-6-5-4-3-2-11234567) · (-9-8-7-6-5-
a4-3-2-11234567) = _____
.
b4-3-2-11234567) = _____
.
2-9-8-7-6-5-4-3-2-11234567 · 3 · (-9-8-
2-9-8-7-6-5-4-3-2-11234567 · 2 · (-9-8-
7-6-5-4-3-2-11234567) · (-9-8-7-6-5-4-
7-6-5-4-3-2-11234567) · (-9-8-7-6-5-4-
a3-2-11234567) = _____
.
b3-2-11234567) = _____
.
3-9-8-7-6-5-4-3-2-11234567 · 1 · (-9-8-
3-9-8-7-6-5-4-3-2-11234567 · 0 · (-9-8-
7-6-5-4-3-2-11234567) · (-9-8-7-6-5-4a3-2-11234567) = _____
7-6-5-4-3-2-11234567) · (-9-8-7-6-5-4-
.
b3-2-11234567) = _____
.
46 · (-9-8-7-6-5-4-3-2-11234567) · (-9-
4-9-8-7-6-5-4-3-2-11234567 · 5 · (-9-8-
8-7-6-5-4-3-2-11234567) · (-9-8-7-6-5-
7-6-5-4-3-2-11234567) · (-9-8-7-6-5-4-
a4-3-2-11234567) = _____
.
b3-2-11234567) = _____
.
5-1 · (-9-8-7-6-5-4-3-2-11234567) · (-9-
52 · (-9-8-7-6-5-4-3-2-11234567) · (-9-
8-7-6-5-4-3-2-11234567) · (-9-8-7-6-5a4-3-2-11234567) = _____
8-7-6-5-4-3-2-11234567) · (-9-8-7-6-5-
.
b4-3-2-11234567) = _____
.
60 · (-9-8-7-6-5-4-3-2-11234567) · (-9-
63 · (-9-8-7-6-5-4-3-2-11234567) · (-9-
8-7-6-5-4-3-2-11234567) · (-9-8-7-6-5-
8-7-6-5-4-3-2-11234567) · (-9-8-7-6-5-
a4-3-2-11234567) = _____
.
b4-3-2-11234567) = _____
.
7-9-8-7-6-5-4-3-2-11234567 · (-6) · (-9-
75 · (-9-8-7-6-5-4-3-2-11234567) · (-9-
8-7-6-5-4-3-2-11234567) · (-9-8-7-6-5-
8-7-6-5-4-3-2-11234567) · (-9-8-7-6-5-
a4-3-2-11234567) = _____
.
b4-3-2-11234567) = _____
.
8-9-8-7-6-5-4-3-2-11234567 · (-1) · (-9-
8-3 · (-9-8-7-6-5-4-3-2-11234567) · (-9-
8-7-6-5-4-3-2-11234567) · (-9-8-7-6-5-
8-7-6-5-4-3-2-11234567) · (-9-8-7-6-5-
a4-3-2-11234567) = _____
.
b4-3-2-11234567) = _____
.
94 · (-9-8-7-6-5-4-3-2-11234567) · (-9-
9-5 · (-9-8-7-6-5-4-3-2-11234567) · (-9-
8-7-6-5-4-3-2-11234567) · (-9-8-7-6-5-
8-7-6-5-4-3-2-11234567) · (-9-8-7-6-5-
a4-3-2-11234567) = _____
.
b4-3-2-11234567) = _____
.
1-2 · (-9-8-7-6-5-4-3-2-11234567) · (-90
11 · (-9-8-7-6-5-4-3-2-11234567) · (-90
.
.
1-6 · (-9-8-7-6-5-4-3-2-11234567) · (-91
1-9-8-7-6-5-4-3-2-11234567 · 4 · (-9-81
.
.
1-9-8-7-6-5-4-3-2-11234567 · (-3) · (-92
1-9-8-7-6-5-4-3-2-11234567 · 6 · (-9-82
.
.
8-7-6-5-4-3-2-11234567) · (-9-8-7-6-5a4-3-2-11234567) = _____
8-7-6-5-4-3-2-11234567) · (-9-8-7-6-5a4-3-2-11234567) = _____
8-7-6-5-4-3-2-11234567) · (-9-8-7-6-5a4-3-2-11234567) = _____
8-7-6-5-4-3-2-11234567) · (-9-8-7-6b5-4-3-2-11234567) = _____
7-6-5-4-3-2-11234567) · (-9-8-7-6-5b4-3-2-11234567) = _____
7-6-5-4-3-2-11234567) · (-9-8-7-6-5b4-3-2-11234567) = _____
Page 2
Answer Key
1 a.
2916
1 b.
1458
2 a.
-2187
2 b.
-1458
3 a.
-729
3 b.
0
4 a.
-4374
4 b.
-3645
5 a.
729
5 b.
-1458
6 a.
0
6 b.
-2187
7 a.
4374
7 b.
-3645
8 a.
729
8 b.
2187
9 a.
-2916
9 b.
3645
10 a. 1458
10 b. -729
11 a. 4374
11 b. -2916
12 a. 2187
12 b. -4374
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permission. Copyright www.HomeschoolMath.net
Math Worksheet
1 a.
100 ÷ (-10-9-8-7-6-5-4322345678910) = ______
1 b.
30 ÷ (-10-9-8-7-6-5-4322345678910) = ______
2 a.
60 ÷ (-10-9-8-7-6-5-4322345678910) = ______
2 b.
(-90) ÷ (-10-9-8-7-6-5-4322345678910) = ______
3 a.
(-10) ÷ (-10-9-8-7-6-5-4322345678910) = ______
3 b.
(-60) ÷ (-10-9-8-7-6-5-4322345678910) = ______
4 a.
(-30) ÷ (-10-9-8-7-6-5-4322345678910) = ______
4 b.
(-50) ÷ (-10-9-8-7-6-5-4322345678910) = ______
5 a.
70 ÷ (-10-9-8-7-6-5-4322345678910) = ______
5 b.
20 ÷ (-10-9-8-7-6-5-4322345678910) = ______
6 a.
(-40) ÷ (-10-9-8-7-6-5-4322345678910) = ______
6 b.
10 ÷ (-10-9-8-7-6-5-4322345678910) = ______
7 a.
(-80) ÷ (-10-9-8-7-6-5-4322345678910) = ______
7 b.
40 ÷ (-10-9-8-7-6-5-4322345678910) = ______
8 a.
0 ÷ (-10-9-8-7-6-5-4322345678910) = ______
8 b.
(-70) ÷ (-10-9-8-7-6-5-4322345678910) = ______
9 a.
(-100) ÷ (-10-9-8-7-6-5-4322345678910) = ______
9 b.
50 ÷ (-10-9-8-7-6-5-4322345678910) = ______
10
a.
(-20) ÷ (-10-9-8-7-6-5-4322345678910) = ______
10
b.
80 ÷ (-10-9-8-7-6-5-4322345678910) = ______
Page 2
Answer Key
1 a.
-10
1 b.
-3
2 a.
-6
2 b.
9
3 a.
1
3 b.
6
4 a.
3
4 b.
5
5 a.
-7
5 b.
-2
6 a.
4
6 b.
-1
7 a.
8
7 b.
-4
8 a.
0
8 b.
7
9 a.
10
9 b.
-5
10 a.
2
10 b.
-8
Copying permission: You are free to copy this worksheet to any number of students for their mathematics work. Do not distribute on websites, books, or any such material without
permission. Copyright www.HomeschoolMath.net
Math Worksheet
1 a.
0 ÷ ______ = 0
1 b.
______ ÷ 10 = 7
2 a.
______ ÷ 8 = (-5)
2 b.
19 ÷ ______ = 19
3 a.
______ ÷ 1 = 72
3 b.
______ ÷ 1 = 11
4 a.
24 ÷ ______ = (-3)
4 b.
______ ÷ 3 = 11
5 a.
______ ÷ (-4) = (-10)
5 b.
______ ÷ 2 = 48
6 a.
65 ÷ ______ = 65
6 b.
36 ÷ ______ = 36
7 a.
35 ÷ ______ = 5
7 b.
______ ÷ 2 = 45
8 a.
(-63) ÷ ______ = (-7)
8 b.
(-14) ÷ ______ = 2
9 a.
______ ÷ (-5) = 16
9 b.
______ ÷ 1 = (-2)
10
a.
(-88) ÷ ______ = 44
10
b.
81 ÷ ______ = 9
Page 2
Answer Key
1 a.
10
1 b.
70
2 a.
(-40)
2 b.
1
3 a.
72
3 b.
11
4 a.
(-8)
4 b.
33
5 a.
40
5 b.
96
6 a.
1
6 b.
1
7 a.
7
7 b.
90
8 a.
9
8 b.
(-7)
9 a.
(-80)
9 b.
(-2)
10 a.
(-2)
10 b.
9
Copying permission: You are free to copy this worksheet to any number of students for their mathematics work. Do not distribute on websites, books, or any such material without
permission. Copyright www.HomeschoolMath.net
Math Worksheet
1 a. 7 ÷ (-7) = ______
1 b. (-72) ÷ (-9) = ______
2 a. (-108) ÷ (-12) = ______
2 b. (-49) ÷ 7 = ______
3 a. (-12) × (-10) = ______
3 b. (-48) ÷ (-12) = ______
4 a. 32 ÷ 4 = ______
4 b. 3 × 2 = ______
5 a. (-11) × 3 = ______
5 b. 1 × 3 = ______
6 a. 16 ÷ (-8) = ______
6 b. (-2) × 8 = ______
7 a. (-5) × 1 = ______
7 b. 5 ÷ (-5) = ______
8 a. 9 × 3 = ______
8 b. (-10) × (-3) = ______
9 a. 9 × (-10) = ______
9 b. (-7) × 3 = ______
10
a. 7 × 9 = ______
10
b. (-3) × 2 = ______
Page 2
Answer Key
1 a.
-1
1 b.
8
2 a.
9
2 b.
-7
3 a.
120
3 b.
4
4 a.
8
4 b.
6
5 a.
-33
5 b.
3
6 a.
-2
6 b.
-16
7 a.
-5
7 b.
-1
8 a.
27
8 b.
30
9 a.
-90
9 b.
-21
10 a.
63
10 b.
-6
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permission. Copyright www.HomeschoolMath.net
Order of Operations Worksheet
Solve in the correct order.
1
a.
–5
10 + 5
1
b.
–7 + 10
8
2
a.
3
a.
0
6 · (–2)
–3
5
· 10
2 4·3 – 4
b.
3
b.
4 8·6 + 7
a.
4
b.
5 7 – 10 · (–9)
a.
5
b.
–6
9
– 10
2
1 – 2
–8
3 – 10
Page 2
Answer Key
1 a. 4 1/2
1 b. 3/8
2 a. 0
2 b. 8
3 a. -6
3 b. -10 2/3
4 a. 55
4 b. 0
5 a. 97
5 b. 1 1/7
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permission. Copyright www.HomeschoolMath.net
Order of Operations Worksheet
Solve in the correct order.
1
a.
(–6) – 0
2
a.
8
9
· 10
1 –1 + 1 · (–2)
b.
2
b.
(–6 – 4) · (–8)
3 –3 + 2 · (–4)
a.
3
b.
–6 + 9
4 –4 – 5 · 0
a.
4
b.
–8
5
(–2 – 10 · (–9)) · (–1)
a.
5
6 – 10 · (–10) + 7
b.
4 + 5 · (–7)
–6
8
7
– 3·6
Page 2
Answer Key
1 a. -6 2/3
1 b. -3
2 a. -33
2 b. -13 1/3
3 a. -11
3 b. 3/8
4 a. -4
4 b. -19 1/7
5 a. -88
5 b. 113
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permission. Copyright www.HomeschoolMath.net
Simplify Expressions Worksheet
Simplify the expressions.
1 a. –4 s – (–3) s
1 b. 5 m + 2 – (–8) m
2 a. 10 z + 8 z
2 b. 4z – 9 – 9 + 10 z
3 a. t + t + t + t + t
3 b. 8 s + 7 s
4 a. 6 y + (–4) y
4 b. –3b2 · b3
5 a. –5 p – 8 p
5 b. a + 4a + a + a + a
6 a. b · 7b · b · b · b
6 b. –6 w + (–9) w
Page 2
Answer Key
1 a. –s
1 b. 13m + 2
2 a. 18z
2 b. 14z – 18
3 a. 5t
3 b. 15s
4 a. 2y
4 b. –3b5
5 a. –13p
5 b. 8a
6 a. 7b5
6 b. –15w
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permission. Copyright www.HomeschoolMath.net
Linear Equations Worksheet
Solve the equations.
1 a. v – 3 = –7
1 b.
c
–10 = 1
2 a. w
2 b. c + 0 = 4
–8 = 8
3 a. a + (–3) = –2
3 b. 3s = –9
4 a. z – (–5) = 3
4 b. 5b = –8
5 a. –5c = –9
5 b. 6a = –1
Page 2
Answer Key
1 a. v = -4
1 b. c = -10
2 a. w = -64
2 b. c = 4
3 a. a = 1
3 b. s = -3
4 a. z = -2
4 b. b = -1 3/5
5 a. c = 1 4/5
5 b. a = -1/6
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permission. Copyright www.HomeschoolMath.net
Linear Equations Worksheet
Solve the equations.
1 a. v – 3 = –7
1 b.
c
–10 = 1
2 a. w
2 b. c + 0 = 4
–8 = 8
3 a. a + (–3) = –2
3 b. 3s = –9
4 a. z – (–5) = 3
4 b. 5b = –8
5 a. –5c = –9
5 b. 6a = –1
Page 2
Answer Key
1 a. v = -4
1 b. c = -10
2 a. w = -64
2 b. c = 4
3 a. a = 1
3 b. s = -3
4 a. z = -2
4 b. b = -1 3/5
5 a. c = 1 4/5
5 b. a = -1/6
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permission. Copyright www.HomeschoolMath.net
Linear Equations Worksheet
Solve the equations.
1 a. 2 + y = 9
1 b. 8 + y = 9
2 a. c – 1 = –5
2 b. 3 – n = 6
3 a. –8 = 7s
3 b. –5w = –2
Page 2
Answer Key
1 a. y = 7
1 b. y = 1
2 a. c = -4
2 b. n = -3
3 a. s = -1 1/7
3 b. w = 2/5
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permission. Copyright www.HomeschoolMath.net
Fractions/Decimals Worksheet
Write the following decimals as fractions or mixed numbers.
1
0.857 =
a.
1
0.47 =
b.
2
–7.3 =
a.
2
–0.4 =
b.
3
8.92 =
a.
3
4.24 =
b.
4
6.3 =
a.
4
–3.35151 =
b.
5
–6.9 =
a.
5
0.805417 =
b.
6
–0.625373 =
a.
6
–1.84 =
b.
7
–7.37 =
a.
7
0.49 =
b.
8
7.563 =
a.
8
7.29 =
b.
9
–10.17 =
a.
9
9.31492 =
b.
Page 2
Answer Key
The decimal expansion of the fractions where the denominator is not a power of ten nor one of the 'easy' numbers has
been rounded to 8 decimals, so it may or may not show the repeating pattern for non-terminating decimals, and it may or
may not show all the decimal digits for terminating decimals.
857
1000
1 a.
0.857 =
2 a.
–7.3 = –7
3 a.
8.92 = 8
4 a.
6.3 = 6
5 a.
–6.9 = –6
6 a.
–0.625373 = –
7 a.
–7.37 = –7
8 a.
7.563 = 7
9 a.
–10.17 = –10
47
100
1 b.
0.47 =
3
10
2 b.
–0.4 = –
4
10
92
100
3 b.
4.24 = 4
24
100
4 b.
–3.35151 = –3
5 b.
0.805417 =
6 b.
–1.84 = –1
7 b.
0.49 =
8 b.
7.29 = 7
9 b.
9.31492 = 9
3
10
9
10
625373
1000000
37000
100000
563
1000
17
100
35151
100000
805417
1000000
84
100
49
100
29
100
31492
100000
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permission. Copyright www.HomeschoolMath.net
Fractions/Decimals Worksheet
Write the following fractions as decimals.
3
1
2 =
a.
5
6
1
=
b. 10
2 24
=
a. 25
6
2
=
b. 10
3 1
=
a. 4
11
3
–2
=
b.
25
56
4
–6
=
a.
100
1
4
–1 =
b.
2
1
5
1 =
a.
2
3
5
–6
=
b.
10
14
6
–1
=
a.
20
38
6
9
=
b.
50
1
7
7
=
a.
10
28
7
–9
=
b.
100
3
8
9 =
a.
4
180
8
=
b. 1000
Page 2
Answer Key
The answers have been simplified if the denominator is less than or equal to 1000.
1 a.
2
3
= 2.6
5
1 b.
6
= 0.6
10
2 a.
–
24
= –0.96
25
2 b.
–
3 a.
1
= 0.25
4
3 b.
–2
11
= –2.44
25
4 a.
–6
4 b.
–1
1
= –1.5
2
5 a.
1
5 b.
–6
3
= –6.3
10
6 a.
–1
6 b.
9
7 a.
7
1
= 7.1
10
7 b.
–9
8 a.
9
3
= 9.75
4
8 b.
180
= 0.18
1000
56
= –6.56
100
1
= 1.5
2
14
= –1.7
20
6
= –0.6
10
38
= 9.76
50
28
= –9.28
100
Copying permission: You are free to copy this worksheet to any number of students for their mathematics work. Do not distribute on websites, books, or any such material without
permission. Copyright www.HomeschoolMath.net
Fractions/Decimals Worksheet
Write the following fractions as decimals.
31308
1
=
a. 100000
62
1
=
b. 100
7
2
=
a. 10
459
2
=
b. 1000
5
3
=
a. 10
303955
3
=
b. 1000000
45
4
–
=
a.
100
796
4
–
=
b.
1000
8
5
–
=
a.
10
94853
5
=
b. 100000
238383
6
–
=
a.
1000000
710634
6
–
=
b.
1000000
136556
7
–
=
a.
1000000
70
7
–
=
b.
100
60
8
–
=
a.
100
92775
8
=
b. 100000
Page 2
Answer Key
The answers have been simplified if the denominator is less than or equal to 1000.
1 a.
31308
= 0.31308
100000
7
1 b.
62
= 0.62
100
459
= 0.7
2 b.
3 a.
5
= 0.5
10
3 b.
303955
= 0.303955
1000000
4 a.
–
4 b.
–
5 a.
– 8 = –0.8
2 a.
10
45
= –0.45
100
1000
5 b.
= 0.459
796
= –0.796
1000
94853 = 0.94853
10
100000
6 a.
–
238383
= –0.238383
1000000
6 b.
–
710634
= –0.710634
1000000
7 a.
–
136556
= –0.136556
1000000
7 b.
–
70
= –0.7
100
8 a.
–
60
= –0.6
100
8 b.
92775
= 0.92775
100000
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permission. Copyright www.HomeschoolMath.net
Fractions/Decimals Worksheet
Write the following fractions as decimals.
3098
1
3
=
a.
100000
2489
1
=
b. 10000
92200
2
=
a. 100000
42676
2
=
b. 100000
3453
3
2
=
a.
10000
2255
3
=
b. 10000
20
4
–8
=
a.
100
5
4
2
=
b.
10
90
5
–1
=
a.
100
606124
5
–8
=
b.
1000000
4365
6
5
=
a.
10000
7030
6
=
b. 10000
7756
7
=
a. 10000
64
7
=
b. 100
669
8
1
=
a.
10000
12810
8
–1
=
b.
100000
Page 2
Answer Key
The answers have been simplified if the denominator is less than or equal to 1000.
1 a.
3
3098
= 3.03098
100000
1 b.
–
2489
= –0.2489
10000
2 a.
–
92200
= –0.922
100000
2 b.
42676
= 0.42676
100000
3 a.
2
3453
= 2.3453
10000
3 b.
–
2255
= –0.2255
10000
4 a.
–8
20
= –8.2
100
4 b.
2
5
= 2.5
10
5 a.
–1
90
= –1.9
100
5 b.
–8
6 a.
5
4365
= 5.4365
10000
6 b.
–
7 a.
–
7756
= –0.7756
10000
7 b.
64
= 0.64
100
8 a.
1
669
= 1.0669
10000
8 b.
–1
606124
= –8.606124
1000000
7030
= –0.703
10000
12810
= –1.1281
100000
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permission. Copyright www.HomeschoolMath.net
Fractions/Decimals Worksheet
Roundtheanswerstothreedecimaldigits
1 4
=
a. 7
11
1
–
=
b.
3
2 133
=
a. 16
19
2
–
=
b.
30
Page 2
Answer Key
The decimal expansion of the fractions where the denominator is not a power of ten nor one of the 'easy' numbers has
been rounded to 3 decimals, so it may or may not show the repeating pattern for non-terminating decimals, and it may or
may not show all the decimal digits for terminating decimals.
1 a.
4
= 0.571
7
1 b.
–
11
= –3.667
3
2 a.
133 = 8.313
2 b.
– 19 = –0.633
16
30
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permission. Copyright www.HomeschoolMath.net
Fractions/Decimals Worksheet
Write the following fractions as decimals.
6
1
–4
=
a.
26
5
1
=
b. 10
2
2
=
a. 10
2 10
=
b. 25
1
3
–3 =
a.
4
22
3
–3
=
b.
25
7
4
2
=
a.
10
10
4
6
=
b.
12
5617
5
1
=
a.
10000
5 14
=
b. 25
9404
6
–9
=
a.
10000
8
6
=
b. 10
13
7
–3
=
a.
23
1
7
–6
=
b.
10
42
8
=
a. 100
68792
8
=
b. 100000
Page 2
Answer Key
The decimal expansion of the fractions where the denominator is not a power of ten nor one of the 'easy' numbers has
been rounded to 4 decimals, so it may or may not show the repeating pattern for non-terminating decimals, and it may or
may not show all the decimal digits for terminating decimals.
1 a.
–4
2 a.
–
3 a.
6
= –4.2308
26
2
10
–3
1
4
1 b.
= –0.2
2 b.
= –3.25
3 b.
–
5
= –0.5
10
10
25
–3
= 0.4
22
25
= –3.88
4 a.
2
7
= 2.7
10
4 b.
6
5 a.
1
5617
= 1.5617
10000
5 b.
14
= 0.56
25
6 a.
–9
7 a.
–3
8 a.
–
9404
10000
= –9.9404
13
= –3.5652
23
42
= –0.42
100
10
= 6.8333
12
8
6 b.
10
= 0.8
1
= –6.1
10
7 b.
–6
8 b.
68792
= 0.68792
100000
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permission. Copyright www.HomeschoolMath.net
Decimals Worksheet
Solve.
1 a.
0.2 + 2.9 = _____
1 b.
1.4 + 0.3 = _____
2 a.
0.1 + (-1.2) = _____
2 b.
-2.2 + 0.0 = _____
3 a.
-0.1 + (-0.1) = _____
3 b.
2.9 + 0.0 = _____
4 a.
-2.4 + 0.2 = _____
4 b.
1.7 + (-0.5) = _____
5 a.
2.6 + (-1.0) = _____
5 b.
0.1 + 0.4 = _____
6 a.
0.4 + 0.3 = _____
6 b.
-0.5 + (-3.0) = _____
7 a.
-1.6 + (-0.8) = _____
7 b.
0.5 + 4.2 = _____
8 a.
-2.3 + 0.1 = _____
8 b.
-3.5 + 0.6 = _____
9 a.
2.8 + 0.5 = _____
9 b.
-0.3 + 2.3 = _____
10 a. -1.0 + 2.6 = _____
10 b. -2.6 + (-0.1) = _____
11 a. 0.5 + 1.5 = _____
11 b. -0.5 + (-0.3) = _____
12 a. 3.6 + (-0.2) = _____
12 b. 0.6 + 0.0 = _____
Page 2
Answer Key
1 a.
3.1
1 b.
1.7
2 a.
-1.1
2 b.
-2.2
3 a.
-0.2
3 b.
2.9
4 a.
-2.2
4 b.
1.2
5 a.
1.6
5 b.
0.5
6 a.
0.7
6 b.
-3.5
7 a.
-2.4
7 b.
4.7
8 a.
-2.2
8 b.
-2.9
3.3
9 a.
9 b.
2
10 a. 1.6
10 b. -2.7
11 a. 2
11 b. -0.8
12 a. 3.4
12 b. 0.6
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permission. Copyright www.HomeschoolMath.net
Decimals Worksheet
Solve.
1 a.
-0.8 + 8.31 = ______
1 b.
-6.4 + 1.7 = ______
2 a.
-0.2 + (-1.75) = ______
2 b.
1.0 + 4.83 = ______
3 a.
0.6 + 1.2 = ______
3 b.
-1.1 + (-0.2) = ______
4 a.
0.3 + 6.43 = ______
4 b.
7.15 + 1.0 = ______
5 a.
7.65 + 1.7 = ______
5 b.
1.4 + (-4.02) = ______
6 a.
1.5 + 8.4 = ______
6 b.
0.3 + 1.63 = ______
7 a.
-6.31 + (-0.5) = ______
7 b.
0.2 + (-7.20) = ______
8 a.
8.3 + 1.3 = ______
8 b.
-8.0 + 0.2 = ______
9 a.
1.03 + 1.3 = ______
9 b.
-1.5 + (-0.6) = ______
10 a. -3.4 + 1.1 = ______
10 b. 3.17 + 1.0 = ______
11 a. -0.4 + (-3.02) = ______
11 b. -7.28 + (-0.6) = ______
12 a. -7.99 + 0.8 = ______
12 b. 0.7 + (-2.87) = ______
Page 2
Answer Key
1 a.
7.51
1 b.
-4.7
2 a.
-1.95
2 b.
5.83
3 a.
1.8
3 b.
-1.3
4 a.
6.73
4 b.
8.15
5 a.
9.35
5 b.
-2.62
6 a.
9.9
6 b.
1.93
7 a.
-6.81
7 b.
-7
8 a.
9.6
8 b.
-7.8
9 a.
2.33
9 b.
-2.1
10 a. -2.3
10 b. 4.17
11 a. -3.42
11 b. -7.88
12 a. -7.19
12 b. -2.17
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permission. Copyright www.HomeschoolMath.net
Decimals Worksheet
Solve.
1 a. 3.5 + (-4.6) + (-0.3) = _____
1 b. -1.1 + (-6) + (-0.1) = _____
2 a. -1.7 + (-5) + 2.2 = _____
2 b. 0.1 + (-4.4) + (-0.4) = _____
3 a. -0.3 + (-2.3) + 2.8 = _____
3 b. -2.5 + 2.9 + (-0.1) = _____
4 a. -2.3 + 4 + (-1.9) = _____
4 b. 0.7 + (-5.4) + (-1.7) = _____
5 a. -0.3 + (-4.4) + 1.6 = _____
5 b. 3.5 + 2 + (-1.8) = _____
6 a. 1.9 + (-4) + 2.7 = _____
6 b. 2.8 + 5.8 + 0.5 = _____
7 a. -0.9 + 0.2 + 0.7 = _____
7 b. -1.3 + (-6) + 3.5 = _____
8 a. 0.5 + 3 + (-2.9) = _____
8 b. 3.5 + (-1.8) + 2.1 = _____
9 a. 2.8 + 1.9 + (-2.7) = _____
9 b. -1.1 + 5.0 + 2.2 = _____
Page 2
Answer Key
1 a. -1.4
1 b. -7.2
2 a. -4.5
2 b. -4.7
3 a. 0.2
3 b. 0.3
4 a. -0.2
4 b. -6.4
5 a. -3.1
5 b. 3.7
6 a. 0.6
6 b. 9.1
7 a. 0
7 b. -3.8
8 a. 0.6
8 b. 3.8
9 a. 2
9 b. 6.1
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permission. Copyright www.HomeschoolMath.net
Decimals Worksheet
Solve.
1 a.
-4.54 + (-4) + 2.15 + (-6.63) = ______
2 a.
2.61 + 1.30 + (-2.47) + (-1.4) = ______
3 a.
0.7 + 5.64 + (-6.4) + (-1.2) = ______
4 a.
-2.9 + 5.0 + (-5.9) + (-3.4) = ______
5 a.
3.17 + 6 + (-5.63) + (-0.16) = ______
6 a.
-7.3 + 6 + (-4.3) + (-5.5) = ______
7 a.
-3.3 + 1.77 + 3.1 + (-1.2) = ______
8 a.
3.0 + (-0.24) + (-2.8) + 3.6 = ______
9 a.
1.90 + (-3.96) + (-4.02) + 1.16 = ______
10 a. -4.0 + (-4) + (-2.8) + (-7.6) = ______
Page 2
Answer Key
1 a.
-13.02
2 a.
0.04
3 a.
-1.26
4 a.
-7.2
5 a.
3.38
6 a.
-11.1
7 a.
0.37
8 a.
3.56
9 a.
-4.92
10 a. -18.4
Copying permission: You are free to copy this worksheet to any number of students for their mathematics work. Do not distribute on websites, books, or any such material without
permission. Copyright www.HomeschoolMath.net
Decimals Worksheet
Solve.
1 a.
-2.8 – 4.6 = _____
1 b.
-8.0 – 2.1 = _____
2 a.
2.8 – 3.3 = _____
2 b.
-7.3 – (-0.1) = _____
3 a.
1.0 – (-3.8) = _____
3 b.
-0.8 – (-0.1) = _____
4 a.
0.5 – 5.6 = _____
4 b.
0.4 – 3.6 = _____
5 a.
-1.7 – 5.1 = _____
5 b.
2.1 – 2.8 = _____
6 a.
-7.1 – 6.9 = _____
6 b.
0.5 – (-4.7) = _____
7 a.
-0.3 – 4.6 = _____
7 b.
-7.8 – 0.4 = _____
8 a.
-6.1 – (-4.8) = _____
8 b.
-1.3 – 2.9 = _____
9 a.
-1.4 – 3.1 = _____
9 b.
0.1 – (-5.2) = _____
10 a. 2.4 – 1.8 = _____
10 b. 2.9 – 2.8 = _____
11 a. -2.9 – 2.1 = _____
11 b. -3.3 – 4.3 = _____
12 a. -5.7 – 6.3 = _____
12 b. 1.2 – 2.2 = _____
Page 2
Answer Key
1 a.
-7.4
1 b.
-10.1
2 a.
-0.5
2 b.
-7.2
3 a.
4.8
3 b.
-0.7
4 a.
-5.1
4 b.
-3.2
5 a.
-6.8
5 b.
-0.7
6 a.
-14
6 b.
5.2
7 a.
-4.9
7 b.
-8.2
8 a.
-1.3
8 b.
-4.2
9 a.
-4.5
9 b.
5.3
10 a. 0.6
10 b. 0.1
11 a. -5
11 b. -7.6
12 a. -12
12 b. -1
Copying permission: You are free to copy this worksheet to any number of students for their mathematics work. Do not distribute on websites, books, or any such material without
permission. Copyright www.HomeschoolMath.net
Homeschoolmath.net
Decimals Worksheet
Solve.
1 a.
0.23 – 4.3 = ______
1 b.
-5.46 – 2.4 = ______
2 a.
-5.57 – (-4.51) = ______
2 b.
0.88 – 6.23 = ______
3 a.
-2.67 – (-5.42) = ______
3 b.
2.44 – (-4.8) = ______
4 a.
0.80 – 6.7 = ______
4 b.
-7.41 – 0.0 = ______
5 a.
3.3 – 4.85 = ______
5 b.
-2.1 – 1.5 = ______
6 a.
-7.0 – 6.96 = ______
6 b.
-1.3 – 6.5 = ______
7 a.
-5.74 – 3.89 = ______
7 b.
2.76 – (-3.6) = ______
8 a.
-0.3 – 6.4 = ______
8 b.
-4.16 – 5.27 = ______
9 a.
-3.86 – 4.48 = ______
9 b.
-0.93 – (-4.92) = ______
10 a. -3.98 – (-0.33) = ______
10 b. -5.69 – 0.6 = ______
11 a. -1.97 – (-4.23) = ______
11 b. -3.9 – 6.46 = ______
12 a. -2.07 – 1.99 = ______
12 b. 3.36 – (-1.66) = ______
Page 2
Answer Key
1 a.
-4.07
1 b.
-7.86
2 a.
-1.06
2 b.
-5.35
3 a.
2.75
3 b.
7.24
4 a.
-5.9
4 b.
-7.41
5 a.
-1.55
5 b.
-3.6
6 a.
-13.96
6 b.
-7.8
7 a.
-9.63
7 b.
6.36
8 a.
-6.7
8 b.
-9.43
9 a.
-8.34
9 b.
3.99
10 a. -3.65
10 b. -6.29
11 a. 2.26
11 b. -10.36
12 a. -4.06
12 b. 5.02
Copying permission: You are free to copy this worksheet to any number of students for their mathematics work. Do not distribute on websites, books, or any such material without
permission. Copyright www.HomeschoolMath.net
Homeschoolmath.net
Decimals Worksheet
Solve.
1 a.
-3.5 – 0 – (-2) = _____
1 b.
3.9 – (-0.5) – 5.5 = _____
2 a.
5 – (-4.9) – (-1) = _____
2 b.
-3.9 – (-3.4) – (-0.2) = _____
3 a.
1.1 – (-1) – (-2) = _____
3 b.
-3.7 – 6 – (-1) = _____
4 a.
2.3 – (-1.2) – 1.9 = _____
4 b.
-2.8 – 1.3 – 6.1 = _____
5 a.
1.3 – 6 – (-2) = _____
5 b.
4 – (-0.8) – 6 = _____
6 a.
-3.4 – 0.5 – (-1.1) = _____
6 b.
-1.5 – (-4) – 1 = _____
7 a.
0 – 0.6 – (-5) = _____
7 b.
-3.1 – 1.7 – 1.9 = _____
8 a.
-3.4 – 1.9 – 2.5 = _____
8 b.
-2 – 2.1 – 4 = _____
9 a.
0.5 – 2 – 5 = _____
9 b.
0.1 – (-3.0) – 3.6 = _____
10 a. -4.5 – 0.6 – 2.3 = _____
10 b. 1.1 – 1 – (-1) = _____
11 a. 4.2 – (-1.6) – (-5.5) = _____
11 b. 5.6 – (-3.9) – 2.8 = _____
12 a. 3 – (-5.0) – 0 = _____
12 b. -3.2 – (-5.0) – 2.8 = _____
Page 2
Answer Key
1 a.
-1.5
1 b.
-1.1
2 a.
10.9
2 b.
-0.3
3 a.
4.1
3 b.
-8.7
4 a.
1.6
4 b.
-10.2
5 a.
-2.7
5 b.
-1.2
6 a.
-2.8
6 b.
1.5
7 a.
4.4
7 b.
-6.7
8 a.
-7.8
8 b.
-8.1
9 a.
-6.5
9 b.
-0.5
10 a. -7.4
10 b. 1.1
11 a. 11.3
11 b. 6.7
12 a. 8
12 b. -1
Copying permission: You are free to copy this worksheet to any number of students for their mathematics work. Do not distribute on websites, books, or any such material without
permission. Copyright www.HomeschoolMath.net
Decimals Worksheet
Solve.
1-01-02-03-04-05-06-07-08-09-001-002-003-004-005-006-007-008-
009010203040506070809001002003004005006007008009000100020003
a0004000500060007000800090110011 × (-01-02-03-04-05-06-07-08-09.001-002-003-004-005-006-007-008-
009010203040506070809001002003004005006007008009000100020003
0004000500060007000800090110011) = ________
2 a.
1
b
.
2
b
.
3
3 a.
b
.
4
4 a.
b
.
5
5 a.
b
.
6
6 a.
b
.
7
7 a.
b
.
8
8 a.
b
.
9
9 a.
b
.
10 a.
1
0
b
.
Warning: Maximum number of iterations exceeded!
Try again using less strict values so you can get unique problems.
Page 2
Answer Key
1 a.
1
1 b.
2 a.
2 b.
3 a.
3 b.
4 a.
4 b.
5 a.
5 b.
6 a.
6 b.
7 a.
7 b.
8 a.
8 b.
9 a.
9 b.
10 a.
10 b.
Copying permission: You are free to copy this worksheet to any number of students for their mathematics work. Do not distribute on websites, books, or any such material without
permission. Copyright www.HomeschoolMath.net
Decimals Worksheet
Solve.
1-0.8 ·
010203040506070809001002003004
1-0.2 ·
010203040506070809001002003004
a005006007008009-01-02-03-04-05.06-07-08-09 · 1.6 = _____
b005006007008009-01-02-03-04-05. 06-07-08-09 · 1.6 = _____
2010203040506070809001002003004
2010203040506070809001002003004
005006007008009-01-02-03-04-05a06-07-08-09 · 0.6 · (-0.7) = _____
.
30.2 ·
01020304050607080900100200300
a4005006007008009-01-02-03-04-05.06-07-08-09 · 1 = _____
005006007008009-01-02-03-04-05b06-07-08-09 · 0.4 · 0.6 = _____
.
3010203040506070809001002003004
005006007008009-01-02-03-04-05b06-07-08-09 · (-0.2) · 1.7 = _____
.
4010203040506070809001002003004
005006007008009-01-02-03-04-05a06-07-08-09 · (-0.5) · 1 = _____
4010203040506070809001002003004
005006007008009-01-02-03-04-05-
.
b06-07-08-09 · (-0.8) · (-1) = _____
.
5010203040506070809001002003004
5010203040506070809001002003004
005006007008009-01-02-03-04-05-
005006007008009-01-02-03-04-05-
a06-07-08-09 · (-0.7) · 1.9 = _____
.
b06-07-08-09 · (-0.9) · (-0.8) = _____
.
6-0.2 ·
61.7 ·
010203040506070809001002003004
010203040506070809001002003004
a005006007008009-01-02-03-04-05.06-07-08-09 · 1.2 = _____
b005006007008009-01-02-03-04-05. 06-07-08-09 · (-0.8) = _____
70.7 ·
71.2 ·
010203040506070809001002003004
a005006007008009-01-02-03-04-05.06-07-08-09 · 1.5 = _____
b005006007008009-01-02-03-04-05. 06-07-08-09 · 1.1 = _____
81.7 ·
81.4 ·
010203040506070809001002003004
010203040506070809001002003004
010203040506070809001002003004
a005006007008009-01-02-03-04-05.06-07-08-09 · 0.1 = _____
b005006007008009-01-02-03-04-05. 06-07-08-09 · (-0.3) = _____
901020304050607080900100200300
9010203040506070809001002003004
4005006007008009-01-02-03-04-05-
005006007008009-01-02-03-04-05-
a06-07-08-09 · 1.6 · 0 = _____
.
b06-07-08-09 · (-0.3) · 1.8 = _____
.
101020304050607080900100200300
0
1-0.3 ·
0010203040506070809001002003004
.
b06-07-08-09 · 1.4 = _____
.
4005006007008009-01-02-03-04-05a06-07-08-09 · 1.6 · (-0.8) = _____
005006007008009-01-02-03-04-05-
Page 2
Answer Key
1 a.
-1.3059891847771E+43
1 b.
2 a.
-4.2852770125497E+42
2 b.
3 a.
20406080000000000000000000000
0000000000000
3 b.
-3.2649729619427E+42
24487300000000000000000000000
0000000000000
-3.4690337720641E+42
4 a.
-5.1015202530354E+42
4 b.
81624320000000000000000000000
0000000000000
5 a.
-1.3570043873074E+43
5 b.
73461890000000000000000000000
0000000000000
6 a.
-2.448729721457E+42
6 b.
-1.3876135088256E+43
7 a.
10713190000000000000000000000
00000000000000
7 b.
8 a.
17345170000000000000000000000
0000000000000
8 b.
-4.2852770125497E+42
9 b.
-5.5096418732782E+42
9 a.
0
10 a. -1.3059891847771E+43
13468010000000000000000000000
00000000000000
10 b. -4.2852770125497E+42
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permission. Copyright www.HomeschoolMath.net
Homeschoolmath.net
Decimals Worksheet
Solve.
1 a. -2.954 · 2.035 = _______
1 b. 9.23 · 8.039 = _______
2 a. 5.47 · 3.00 = _______
2 b. 0.7 · 3.380 = _______
Page 2
Answer Key
1 a. -6.01139
1 b. 74.19997
2 a. 16.41
2 b. 2.366
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permission. Copyright www.HomeschoolMath.net
Decimals Worksheet
Solve. Round the answers to 3 decimals.
1-97.03 ÷ (-2-3-4-5-6-7-8-9-01-02-03-
1-31.87 ÷ (-2-3-4-5-6-7-8-9-01-02-03-
04-05-06-07-08-09-001-002-003-004-
04-05-06-07-08-09-001-002-003-004-
a005-006-007-008.0090203040506070809002003004005
b005-006-007-008.0090203040506070809002003004005
006) = _______
006) = _______
2-53.49 ÷ (-2-3-4-5-6-7-8-9-01-02-03-
2-57.1 ÷ (-2-3-4-5-6-7-8-9-01-02-03-04-
04-05-06-07-08-09-001-002-003-004a005-006-007-008.0090203040506070809002003004005
006) = _______
b006-007-008.0090203040506070809002003004005
3-57.743 ÷ (-2-3-4-5-6-7-8-9-01-02-03-
3-63.22 ÷ (-2-3-4-5-6-7-8-9-01-02-03-
05-06-07-08-09-001-002-003-004-005-
006) = _______
04-05-06-07-08-09-001-002-003-004-
04-05-06-07-08-09-001-002-003-004-
a005-006-007-008.0090203040506070809002003004005
b005-006-007-008.0090203040506070809002003004005
006) = _______
006) = _______
Page 2
Answer Key
1 a. 48.515
1 b. 15.935
2 a. 26.745
2 b. 28.55
3 a. 28.872
3 b. 31.61
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permission. Copyright www.HomeschoolMath.net
Homeschoolmath.net
Fractions Worksheet
1
a.
2
a.
3
a.
1
5
– 2346812 + ( – 1173406 ) =
1
1
3
(
586703 + – 2346812 ) =
2
5
1
– 2346812 + 2346812 =
3
b.
b.
b.
1
7
– 1173406 – ( – 2346812 ) =
7
5
(
– 2346812 – – 1173406 ) =
3
3
– 2346812 – ( – 2346812 ) =
Page 2
Answer Key
11
–
1 a.
2346812
5
1 b. 2346812
1
2 a. 2346812
3
2 b. 2346812
3 a.
1
– 586703
3 b.
0
Copying permission: You are free to copy this worksheet to any number of students for their mathematics work. Do not distribute on websites, books, or any such material without
permission. Copyright www.HomeschoolMath.net
Homeschoolmath.net
Fractions Worksheet
1
a.
2
a.
11
7
– 12 + 5 =
1
5
3
(
–4 + –2) =
2
b.
b.
7
3
– 10 – ( – 7 ) =
5
6
– 8 – 11 =
3
a.
3
7
– 10 – 3 =
3
b.
1
1
(
5 + –5) =
Page 2
Answer Key
29
1 a. 60
19
1 b. – 70
3
2 a. –2 4
15
2 b. –1 88
19
–2
3 a.
30
3 b.
0
Copying permission: You are free to copy this worksheet to any number of students for their mathematics work. Do not distribute on websites, books, or any such material without
permission. Copyright www.HomeschoolMath.net
Fractions Worksheet
1
a.
11
7
– 12 + 5 =
1
b.
7
3
(
– 10 – – 7 ) =
2
a.
3
a.
5
3
(
–4 + –2) =
2
3
7
– 10 – 3 =
3
b.
b.
5
6
– 8 – 11 =
1
1
(
–
+
5
5) =
Page 2
Answer Key
29
1 a. 60
2 a.
3
–2 4
19
1 b. – 70
2 b.
15
–1 88
3 a.
19
–2 30
3 b.
0
Copying permission: You are free to copy this worksheet to any number of students for their mathematics work. Do not distribute on websites, books, or any such material without
permission. Copyright www.HomeschoolMath.net
Homeschoolmath.net
Fractions Worksheet
1
a.
2
a.
3
a.
1
3
34 – (–4) =
1
3
2
4 + 3 =
2
5
5
–5 6 + ( – 4 ) =
3
b.
b.
b.
3
3
–9 11 – 5 =
8
1
(
3 – –8 2 ) =
7
1
–5 8 + ( – 2 ) =
Page 2
Answer Key
1 a.
4
48
1 b. –9 55
2 a.
5
1 12
2 b.
1
–7
3 a.
12
1
11 6
3
–6
3 b.
8
Copying permission: You are free to copy this worksheet to any number of students for their mathematics work. Do not distribute on websites, books, or any such material without
permission. Copyright www.HomeschoolMath.net
Fractions Worksheet
1
a.
2
a.
16
11
16
(
5 + 5 – – 5 ) =
1
11
22
–4 + 4 + (– 4 ) =
3
a.
4
a.
18
25
5
(
)
(
–
–
+
7 –
7
7) =
4
28
23
–3 – 3 + 3 =
Page 2
Answer Key
3
1 a. 8 5
2 a.
–3
3
3 a. 5 7
4 a.
–3
Copying permission: You are free to copy this worksheet to any number of students for their mathematics work. Do not distribute on websites, books, or any such material without
permission. Copyright www.HomeschoolMath.net
Fractions Worksheet
1
a.
2
a.
3
a.
4
a.
8
9
14
7
(
)
(
)
–
–
+
+
–
3
3
3
3 =
19
27
23
17
– 7 – 7 + (– 7 ) + (– 7 ) =
10
11
11
30
– 7 – 7 – (– 7 ) – (– 7 ) =
26
3
22
25
(
)
(
4 – –4 + 4 – – 4 ) =
Page 2
Answer Key
1 a.
1
–7 3
2
–12
2 a.
7
6
3 a. 2 7
4 a.
19
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permission. Copyright www.HomeschoolMath.net
Fractions Worksheet
1
a.
2
a.
3
a.
20
2
2
(
)
(
– 3 + –1 3 – –4 3 ) – 0 =
1
19
1
13
11
–
–
–
4
4
4
4 =
1
1
1
2
(
5
7
–
–
+
–
3
3
3
3) =
4
a.
9
5
1
17
(
–7 – 57 + 7 + – 7 ) =
Page 2
Answer Key
1 a.
2
–3 3
2 a.
–19
3 a.
3
2
4 a. –9 7
Copying permission: You are free to copy this worksheet to any number of students for their mathematics work. Do not distribute on websites, books, or any such material without
permission. Copyright www.HomeschoolMath.net
Fractions Worksheet
1
a.
1
4
–7 × (–3) =
1
b.
3
1
–6 × 5 =
2
a.
3
a.
1
8
–4 × 3 =
2
7
10
–3 × (– 4 ) =
3
b.
b.
1
7
– 10 × ( – 2 ) =
6
1
×
10
6 =
Page 2
Answer Key
1 a.
4
21
1 b.
1
– 10
2 a.
2
–3
5
5
3 a.
6
2 b.
7
20
1
3 b. 10
Copying permission: You are free to copy this worksheet to any number of students for their mathematics work. Do not distribute on websites, books, or any such material without
permission. Copyright www.HomeschoolMath.net
Fractions Worksheet
1
a.
2
a.
3
a.
5
3
7
12 × 5 × 8 =
1
2
5
6
6 × 2 × 3 =
2
9
3
1
(
– 6 × 11 × – 2 ) =
3
b.
b.
b.
11
9
4
– 3 × 12 × 10 =
9
4
3
10 × 7 × 6 =
7
8
9
5 × 3 × 4 =
Page 2
Answer Key
1 a.
7
32
1 b.
1
–1 10
2 a.
2
13
2 b.
9
35
9
3 a. 44
2
3 b. 8 5
Copying permission: You are free to copy this worksheet to any number of students for their mathematics work. Do not distribute on websites, books, or any such material without
permission. Copyright www.HomeschoolMath.net
Fractions Worksheet
1
a.
7
8
6
2
– 11 × 3 11 × 5 × 2 9 =
1
b.
9
11
7
1
–
– 3 × ( 12 ) × ( – 5 ) × 4 9 =
5
a.
8
10
10
–
4 × ( – 6 ) × 11 × ( 10 ) =
1
1
3
–
a.
2
2
–
1
2
b.
3
3
1
5
(
)
(
)
7 × –4 × –4 × 56 =
3
b.
6
1
4
11
–
– 10 × 3 7 × ( – 6 ) × ( 12 ) =
5
5
9
1
1
(
)
(
)
3 10 × – 6 × – 8 × 3 3 =
Page 2
Answer Key
1 a.
118
–6 363
1 b.
187
–121 540
9
–3
2 a.
22
101
–3
2 b.
168
21
3 a. –2 32
3
3 b. 2 16
Copying permission: You are free to copy this worksheet to any number of students for their mathematics work. Do not distribute on websites, books, or any such material without
permission. Copyright www.HomeschoolMath.net
Fractions Worksheet
1
a.
2
a.
3
a.
4
3
÷
7
5 =
1
9
10
(
–
÷
4
4 ) =
2
5
3
(
–
÷
3
5) =
3
b.
b.
b.
5
5
– 8 ÷ ( – 12 ) =
6
1
(
–
÷
12
12 ) =
6
9
–4 ÷ 8 =
Page 2
Answer Key
20
1 a. 21
2 a.
9
– 10
7
3 a. –2 9
1
1 b. 1 2
–6
2 b.
1
3 b. –1 3
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Fractions Worksheet
1
a.
2
a.
6
3
– 8 ÷ ( –5 12 ) =
1
5
1
5
÷
4
2 =
2
b.
b.
5
8
– 8 ÷ 4 11 =
5
1
–3 ÷ 3 =
3
a.
8
10
(
–4 9 ÷ – 4 ) =
3
b.
2
5
(
6 ÷ –5) =
Page 2
Answer Key
1
1 a. 7
55
1 b. – 416
5
2 a. 22
2 b.
43
3 a. 1 45
1
3 b. – 3
–5
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permission. Copyright www.HomeschoolMath.net
Linear Equations Worksheet
Solve the equations.
1 a.
z
8 = 6.6
1 b. 8 – n = 5.9
2 a. 11.9 · (–12) = w + 5.9
2 b. –6.6 = 1n
3 a. 0 = 8.8c – (–5)c
3 b. 4.7w = –6
4 a. t – 9 = –0.5
4 b.
c
11 = –4.6
Page 2
Answer Key
Answers with decimals have been rounded to 3 decimal digits.
1 a. z = 52.8
1 b. n = 2.1
2 a. w = -148.7
2 b. n = -6.6
3 a. c = 0
3 b. w = -1.277
4 a. t = 8.5
4 b. c = -50.6
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permission. Copyright www.HomeschoolMath.net
Scientific Notation Worksheet
Write each number in scientific notation.
1 a. 90,352
1 b. 969
2 a. 24,343
2 b. 78,440
3 a. 86
3 b. 445
4 a. 855
4 b. 5,903
5 a. 57,977
5 b. 4,726,251
6 a. 48,644,385
6 b. 522,737
7 a. 7,265
7 b. 98,427
Page 2
Answer Key
1 a. 9.0352 · 104
1 b. 9.69 · 102
2 a. 2.4343 · 104
2 b. 7.844 · 104
3 a. 8.6 · 101
3 b. 4.45 · 102
4 a. 8.55 · 102
4 b. 5.903 · 103
5 a. 5.7977 · 104
5 b. 4.726251 · 106
6 a. 4.864438 · 107
6 b. 5.22737 · 105
7 a. 7.265 · 103
7 b. 9.8427 · 104
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permission. Copyright www.HomeschoolMath.net
Scientific Notation Worksheet
Write each number in scientific notation.
1 a. 416
1 b. 341
2 a. 4,883,638,126
2 b. 687,794,233,500
3 a. 493
3 b. 3,575,737
4 a. 946,150
4 b. 17,512,827
5 a. 616,463,167
5 b. 29
6 a. 362,782,263,319
6 b. 838,973,994,370
7 a. 964,119,446,518
7 b. 2,194,135
Page 2
Answer Key
1 a. 4.16 · 102
1 b. 3.41 · 102
2 a. 4.883638 · 109
2 b. 6.877942 · 1011
3 a. 4.93 · 102
3 b. 3.575737 · 106
4 a. 9.4615 · 105
4 b. 1.751283 · 107
5 a. 6.164632 · 108
5 b. 2.9 · 101
6 a. 3.627823 · 1011
6 b. 8.38974 · 1011
7 a. 9.641194 · 1011
7 b. 2.194135 · 106
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permission. Copyright www.HomeschoolMath.net
Scientific Notation Worksheet
Write each number given in scientific notation in normal form.
1 a. 5.158 · 103
1 b. 7.8049 · 104
2 a. 7.112881 · 107
2 b. 2.70261 · 105
3 a. 6.3 · 101
3 b. 2.493497 · 107
4 a. 9.88515 · 107
4 b. 6.227 · 103
5 a. 2.2929 · 104
5 b. 8.809 · 103
6 a. 9.05 · 102
6 b. 2.86 · 102
7 a. 4.9411 · 107
7 b. 1.483572 · 107
Page 2
Answer Key
1 a. 5,158
1 b. 78,049
2 a. 71,128,809
2 b. 270,261
3 a. 63
3 b. 24,934,970
4 a. 98,851,495
4 b. 6,227
5 a. 22,929
5 b. 8,809
6 a. 905
6 b. 286
7 a. 49,410,997
7 b. 14,835,719
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permission. Copyright www.HomeschoolMath.net
Scientific Notation Worksheet
Write each number given in scientific notation in normal form.
1 a. 6.086315 · 107
1 b. 2.477778 · 109
2 a. 2.71109 · 105
2 b. 3.465735 · 106
3 a. 1.384 · 103
3 b. 7.1 · 101
4 a. 9.846618 · 108
4 b. 4.020442 · 1010
5 a. 9.289812 · 108
5 b. 2.203066 · 1011
6 a. 7.3 · 101
6 b. 1.261858 · 106
7 a. 3.3841 · 104
7 b. 9.8008 · 104
Page 2
Answer Key
1 a. 60,863,153
1 b. 2,477,777,693
2 a. 271,109
2 b. 3,465,735
3 a. 1,384
3 b. 71
4 a. 984,661,806
4 b. 40,204,419,600
5 a. 928,981,246
5 b. 220,306,630,130
6 a. 73
6 b. 1,261,858
7 a. 33,841
7 b. 98,008
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permission. Copyright www.HomeschoolMath.net
Complex Fractions Worksheet
Simplify.
1 a.
–3
–9
1 b.
1
–5
–6
2
2 a.
2 b.
1
6
–7
5
3 a.
3
–7
5
3
3 b.
–2
7
2
–9
Page 2
Answer Key
2
1
1 a. 3
1 b. 30
1
3
2 a. 30
2 b. 49
5
3 a. – 27
4
3 b. – 7
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permission. Copyright www.HomeschoolMath.net
Complex Fractions Worksheet
Simplify.
1 a.
7
2
11
4
–
2 a.
1 b.
4
11
5
–2
2 b.
11
3
3 a.
6
–5
1
–1
6
–5
8
–7
1
3
3 b.
2
7
1
3
Page 2
Answer Key
1 a. –1 3
1 b. 12
11
25
12
3
–3
2 b.
7
2 a. 121
1
6
3 a. 1 5
3 b. 7
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permission. Copyright www.HomeschoolMath.net
Linear Equations Worksheet
Solve the equations.
1 a. 2 – 7a = 6
1 b.
2c
7 = 11
2 b. 2y – 12 = 12
2 a. m + 3
4
3 a.
= 11
c+3
9 =
7
3 b. 8v – 7 = 10
4 a. 10 = 4 – 7n
4 b.
11 – z
10 =
5
Page 2
Answer Key
1 a. a = -4/7
1 b. c = 38 1/2
2 a. m = 41
2 b. y = 12
3 a. c = 60
3 b. v = 2 1/8
4 a. n = -6/7
4 b. z = -39
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permission. Copyright www.HomeschoolMath.net
Linear Equations Worksheet
Solve the equations.
1 a. 6x – (–10) = 11
1 b. 10 – (–3)t = 0
2 a. c + 9
2 b. n + (–8)
= 8
= 7
–5
6
3 a. –2 = 2n + (–8)
3 b.
c – (–6)
11 =
4 b. 6t – (–1) = 11
4 a. z + (–9)
12
3
= –12
Page 2
Answer Key
1 a. x = 1/6
1 b. t = -3 1/3
2 a. c = -49
2 b. n = 50
3 a. n = 3
3 b. c = 27
4 a. z = -135
4 b. t = 1 2/3
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permission. Copyright www.HomeschoolMath.net
Linear Equations Worksheet
Solve the equations.
1 a. –4(t – 10) + 9 = –7t + 10
1 b. –(z + 10) + 6 = –4z – 10
2 a. 3z – 2 = 6 + 5(z + 12)
2 b. –6(t + 4) + 7 = 9t + 6
3 a. –3p – 11 = –2 + 6(p + 8)
3 b. –5(t + 1) – 9 = 3t + 4
Page 2
Answer Key
1 a. t = -13
1 b. z = -2
2 a. z = -34
2 b. t = -1 8/15
3 a. p = -6 1/3
3 b. t = -2 1/4
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permission. Copyright www.HomeschoolMath.net
Linear Equations Worksheet
Solve the equations.
1 a. –5 = 8(c – (–5))
1 b. –8(5 – y) = 7
2 a. 0 = –5(x – (–5))
2 b. –2(k – (–9)) = –10
3 a. 9(c – 2) – 7 = 6
3 b. 3(t + 4) = 2 + (–8)
Page 2
Answer Key
1 a. c = -5 5/8
1 b. y = 5 7/8
2 a. x = -5
2 b. k = -4
3 a. c = 3 4/9
3 b. t = -6
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permission. Copyright www.HomeschoolMath.net
Linear Equations Worksheet
Solve the equations.
1 a. –3k + 5 = 10 – (k – 7)
1 b. –11 + v = 8 · (–1)
2 a. 10 – 8 = 9 – m
2 b. 5a + 3 = 5 + 9(a – 10)
3 a. 6 – (–12) = 7 – c
3 b. –7n + 2 = 5 + 3(n + 0)
Page 2
Answer Key
1 a. k = -6
1 b. v = 3
2 a. m = 7
2 b. a = 22
3 a. c = -11
3 b. n = -3/10
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permission. Copyright www.HomeschoolMath.net
Linear Equations Worksheet
Solve the equations.
1 a. 36v + 46 = –9 – 28(v + 26)
1 b.
26 t
50 = –16
2 a. –5 b
47
2 b. 5s + 3 = 25 + 2(s + 44)
= 15
3 a. –43 = –49k + (–24)
3 b. –50m – 38 = –1 – 19(m – 24)
Page 2
Answer Key
1 a. v = -12 15/64
1 b. t = -30 10/13
2 a. b = -141
2 b. s = 36 2/3
3 a. k = 19/49
3 b. m = -15 28/31
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permission. Copyright www.HomeschoolMath.net
Linear Equations Worksheet
Solve the equations.
1 a. –5.1(p + 11) – 10 = 5p – 6.8
1 b. 2.2b + 5.3b = 1.6
2 a. –5.3(x + 8.2) + 9 = –9x – 7
2 b. –7 b
3
= 3
3 a. –(8.1 – y) = –10
3 b. 11.3 + y = –10 + 12
4 a. –5b + 2 = –5.2 + 1.4(b – 1)
4 b. 5 = –3.2x + (–0.2)x
Page 2
Answer Key
Answers with decimals have been rounded to 3 decimal digits.
1 a. p = -5.871
1 b. b = 0.213
2 a. x = 7.422
2 b. b = -1.286
3 a. y = -1.9
3 b. y = -9.3
4 a. b = 1.344
4 b. x = -1.471
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permission. Copyright www.HomeschoolMath.net
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Inequalities Worksheet
1 Solve, and plot the solution set.
a
.
12 > 3x
2 Solve, and plot the solution set.
a
.
12 > 8w
1 Solve, and plot the solution set.
b
.
3 ≥ 2+y
2 Solve, and plot the solution set.
b
.
k
8 < 2
3 Solve, and plot the solution set.
a
.
3 Solve, and plot the solution set.
b
.
p–5 ≤ 5
r
3 < 4
Page 2
Answer Key
1
a.
1
b.
x<4
y≤1
2
a.
2
b.
w < 1 1/2
3
a.
k > 16
3
b.
r > 12
p ≤ 10
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permission. Copyright www.HomeschoolMath.net
Inequalities Worksheet
1 Solve, and plot the solution set.
a
.
1 Solve, and plot the solution set.
b
.
7 – y > 1 – 10
r – 12 ≤ 6
2 Solve, and plot the solution set.
a
.
2 Solve, and plot the solution set.
b
.
4+x ≥ 9+2
8 < 11 – v
3 Solve, and plot the solution set.
a
.
3 Solve, and plot the solution set.
b
.
v–5 ≤ 7
5 > 9c
Page 2
Answer Key
1
a.
1
b.
r ≤ 18
y < 16
2
a.
2
b.
x≥7
v<3
3
a.
3
b.
v ≤ 12
c < 5/9
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permission. Copyright www.HomeschoolMath.net
Inequalities Worksheet
1
a.
Solve.
2
a.
Solve.
–9 ≥ 0 + v
1 Solve.
b.
–6 ≥ z + (–3)
11 + (–3) < 9b
2 Solve.
b.
–6 < –4 – n
3
a.
Solve.
–1 ≤ 5r – 4r
3 Solve.
b.
5 < 8–w
Page 2
Answer Key
1 a. v ≤ –9
1 b. z ≤ –3
2 a. b > 8/9
2 b. n < 2
3 a. r ≥ –1
3 b. w < 3
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permission. Copyright www.HomeschoolMath.net
Inequalities Worksheet
1
a.
Solve.
3 < 3(–3 – t)
1 Solve.
b.
2b
9
2
a.
Solve.
5s – (–4) ≤ –7
2 Solve.
b.
≤ 6
2(r + 8) + 7r ≤ 8
3
a.
3 Solve.
b.
Solve.
–6 ≥ 2v – (–7)
7 ≥ 5n – 2
Page 2
Answer Key
1 a. t < –4
1 b. b ≤ 27
2 a. s ≤ –2 1/5
2 b. r ≤ –8/9
3 a. v ≤ –6 1/2
3 b. n ≤ 1 4/5
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permission. Copyright www.HomeschoolMath.net
Speed, Time, and Distance Worksheet
1 a. A taxi hurries with a constant
speed of 72 miles per hour. How
far can it travel in 3 hours
30 minutes?
1 b. Bob rides his bike with a constant
speed of 12 km/h. How long will he
take to travel a distance of
30 kilometers?
2 a. A van moves with a constant
2 b. Sarah rides her horse with a
constant speed of 12 km/h. How
long will she take to travel a
distance of 21 kilometers?
speed of 68 km/h. How far can it
travel in 1 hour 30 minutes?
3 a. David rides his horse with a
constant speed of 16 miles per
hour. How far can he travel in 1
3/4 hours?
3 b. Abigail rides her horse with a
constant speed of 12 km/h. How far
can she travel in 2 hours?
Page 2
Answer Key
He takes 2 hours 30 minutes or 2
It can travel 252 miles in 3 hours
30 minutes.
1 b. 1/2 hours to travel a distance of
It can travel 102 kilometers in 1 hour
2 a.
30 minutes.
She takes 1 hour 45 minutes or 1
2 b. 3/4 hours to travel a distance of
21 kilometers.
3 a. He can travel 28 miles in 1 3/4 hours.
3 b.
1 a.
30 kilometers.
She can travel 24 kilometers in
2 hours.
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permission. Copyright www.HomeschoolMath.net
Speed, Time, and Distance Worksheet
1 a. An airplane flies with a constant
speed of 564 miles per hour. How
far can it travel in 4 hours?
2 a. An airplane flies with a constant
speed of 840 miles per hour. How
long will it take to travel a distance
of 1960 miles?
3 a. An airplane flies with a constant
speed of 600 km/h. How far can it
travel in 2 1/3 hours?
1 b. An airplane flies with a constant
speed of 600 miles per hour. How
far can it travel in 3/4 hours?
2 b. An airplane flies with a constant
speed of 516 miles per hour. How
long will it take to travel a distance
of 473 miles?
3 b. A car drives with a constant speed
of 24 miles per hour. How long will
it take to travel a distance of
84 miles?
Page 2
Answer Key
1 a. It can travel 2256 miles in 4 hours.
1 b. It can travel 450 miles in 3/4 hours.
It takes 2 hours 20 minutes or 2
2 a. 1/3 hours to travel a distance of
1960 miles.
2 b.
It can travel 1400 kilometers in 2
3 a.
1/3 hours.
It takes 3 hours 30 minutes or 3
3 b. 1/2 hours to travel a distance of
84 miles.
It takes 55 minutes or 11/12 hours to
travel a distance of 473 miles.
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permission. Copyright www.HomeschoolMath.net
If necessary, round your answers to 1 decimal digit.
1 a. A van moves with a constant
speed of 47 miles per hour. How
long will it take to travel a
distance of 51.7 miles?
2 a. A taxi hurries with a constant
speed of 79 miles per hour. How
long will it take to travel a
distance of 63.2 miles?
1 b. An airplane flies with a constant
speed of 640 km/h. How long will it
take to travel a distance of
3093.3 kilometers?
2 b. A van moves with a constant speed
of 108 km/h. How far can it travel in
4.3 hours?
3 a. An airplane flies with a constant
speed of 600 miles per hour.
How far can it travel in
40 minutes?
3 b. A car drives with a constant speed of
30 km/h. How far can it travel in
4 hours 45 minutes?
Page 2
Answer Key
It takes 4 hours 50 minutes or 4
It takes 1 hour 6 minutes or 1s to
travel a distance of 51.7 miles.
1 b. 5/6 hours to travel a distance of
It takes 0.8 hours to travel a distance
of 63.2 miles.
2 b.
It can travel 464.4 kilometers in 4.3
hours.
3 a. It can travel 400 miles in 40 minutes.
3 b.
It can travel 142.5 kilometers in
4 hours 45 minutes.
1 a.
2 a.
3093.3 kilometers.
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permission. Copyright www.HomeschoolMath.net
Speed, Time, and Distance Worksheet
1 a. An airplane flies 2325 miles in 3
3/4 hours. What is its average
speed in miles per hour?
1 b. An airplane flies 2560 miles in
4 hours. What is its average speed
in miles per hour?
2 a. Noah rides his bike 35 km in 1
2 b. Emily roller skates 3 km in
3/4 hours. What is his average
speed in kilometers per hour?
15 minutes. What is her average
speed in kilometers per hour?
3 a. A car drives 234 km in 2 1/4 hours. 3 b. Mike rides his horse 12 miles in
What is its average speed in
kilometers per hour?
45 minutes. What is his average
speed in miles per hour?
Page 2
Answer Key
1 a.
Its average speed is 620 miles per
hour.
2 a.
His average speed is 20 kilometers per
Her average speed is 12 kilometers per
2 b.
hour.
hour.
1 b.
Its average speed is 640 miles per
hour.
3 a.
Its average speed is 104 kilometers per
His average speed is 16 miles per
3 b.
hour.
hour.
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permission. Copyright www.HomeschoolMath.net
Speed, Time, and Distance Worksheet
1 a. Noah rides his horse 9 miles in
30 minutes. What is his average
speed in miles per hour?
2 a. An airplane flies 946 km in
11/12 hours. What is its average
speed in kilometers per hour?
1 b. An airplane flies 2001 miles in 2
5/12 hours. What is its average
speed in miles per hour?
2 b. Pete roller skates 19 km in 1
7/12 hours. What is his average
speed in kilometers per hour?
3 a. Juan rides his motorcycle 175 miles 3 b. Emily rides her bike 42 miles in 2
in 2 11/12 hours. What is his
average speed in miles per hour?
1/3 hours. What is her average
speed in miles per hour?
Page 2
Answer Key
1 a.
His average speed is 18 miles per
hour.
1 b.
Its average speed is 828 miles per
hour.
2 a.
Its average speed is 1032 kilometers
per hour.
2 b.
His average speed is 12 kilometers per
hour.
3 a.
His average speed is 60 miles per
hour.
3 b.
Her average speed is 18 miles per
hour.
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permission. Copyright www.HomeschoolMath.net
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If necessary, round your answers to 1 decimal digit.
1 a. An airplane flies 282 miles in 267 minutes. What is its average speed in
miles per hour?
2 a. John rides his horse 73.1 km in 258 minutes. What is his average speed in
kilometers per hour?
3 a. A minibus drives 27 miles in 53 minutes. What is its average speed in miles
per hour?
Page 2
Answer Key
1 a. Its average speed is 63.4 miles per hour.
2 a. His average speed is 17 kilometers per hour.
3 a. Its average speed is 30.6 miles per hour.
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permission. Copyright www.HomeschoolMath.net
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If necessary, round your answers to 1 decimal digit.
1 a. A train travels 358.8 miles with a constant speed of 69 mph and another
65.1 miles with a constant speed of 32 mph. How much time in total does it
take to travel these distances?
2 a. A van moves 224 miles with a constant speed of 48 mph and another
120 miles with a constant speed of 48 mph. How much time in total does it
take to travel these distances?
3 a. An airplane flies for 3 hours with a constant speed of 620 mph and then for
another 5 hours 16 minutes with a constant speed of 820 mph. What
distance did it go?
Page 2
Answer Key
1 a. It takes 7 hours and 14 minutes to travel the two distances.
2 a. It takes 7 hours and 10 minutes to travel the two distances.
3 a. It traveled a distance of 6178.7 miles.
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permission. Copyright www.HomeschoolMath.net
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If necessary, round your answers to 1 decimal digit.
1 a. Juan rides his horse 9.6 miles with a constant speed of 12 mph and another
58.5 miles with a constant speed of 11 mph. How much time in total does he
take to travel these distances?
2 a. An airplane flies 1440 km with a constant speed of 600 km/h and another
2050 km with a constant speed of 1000 km/h. How much time in total does it
take to travel these distances?
3 a. A van moves for 2.6 hours with a constant speed of 30 mph and then for
another 4 hours 9 minutes with a constant speed of 26 mph. What distance
did it go?
Page 2
Answer Key
1 a. He takes 6 hours and 7 minutes to travel the two distances.
2 a. It takes 4 hours and 27 minutes to travel the two distances.
3 a. It traveled a distance of 185.9 miles.
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permission. Copyright www.HomeschoolMath.net
If necessary, round your answers to 1 decimal digit.
1 a. An airplane flies 3484 miles with a constant speed of 520 mph and another
1894.7 miles with a constant speed of 580 mph. What is its average speed
for the total trip?
2 a. Mike travels in an airplane a distance of 3360 miles. For one-fourth of the
distance, the airplane flies at a speed of 820 miles per hour, and for the rest
of the distance, it flies at a speed of 520 miles per hour. How long does the
trip take?
3 a. An airplane flies for 4.8 hours with a constant speed of 760 mph and then for
another 3 hours 9 minutes with a constant speed of 660 mph. What is its
average speed for the total trip?
Page 2
Answer Key
1 a. Its average speed is 539.7 mph.
2 a. The trip takes 5 hours and 52 minutes or 5.9 hours.
3 a. Its average speed is 720.4 mph.
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permission. Copyright www.Homesch
If necessary, round your answers to 1 decimal digit.
1 a. Grace's airplane trip took 4 hours 36 minutes. For one-half of that time, the
airplane flew at a speed of 804 miles per hour, and for the rest of the time, it
flew at a speed of 780 miles per hour. What distance did Grace travel?
2 a. An airplane flies 4012 miles with a constant speed of 680 mph and another
1560 miles with a constant speed of 520 mph. What is its average speed for
the total trip?
3 a. Caleb's airplane trip took 5 hours. For one-fourth of that time, the airplane
flew at a speed of 696 miles per hour, and for the rest of the time, it flew at a
speed of 708 miles per hour. What distance did Caleb travel?
Page 2
Answer Key
1 a. Grace traveled 3643.2 miles.
2 a. Its average speed is 626.1 mph.
3 a. Caleb traveled 3525 miles.
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permission. Copyright www.HomeschoolMath.net
Graphing Worksheet
1
a.
1
b.
Graph the equation y = –5x + 7.
2
a.
Graph the equation y = 5x + 1.
2
b.
Graph the equation y = –3x – 4.
Graph the equation y = –5x + 2.
Page 2
Answer Key
1 a.
1 b.
y = –5x + 7
2 a.
y = 5x + 1
2 b.
y = –3x – 4
y = –5x + 2
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permission. Copyright www.HomeschoolMath.net
Graphing Worksheet
1
a.
1
b.
Graph the equation y = (-1/2)x – 5.
2
a.
Graph the equation y = –x + 9.
2
b.
Graph the equation y = 5x + 6.
Graph the equation y = –6x + 3.
Page 2
Answer Key
1 a.
1 b.
y = (-1/2)x – 5
2 a.
y = –x + 9
2 b.
y = 5x + 6
y = –6x + 3
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permission. Copyright www.HomeschoolMath.net
Graphing Worksheet
1
a.
1
b.
Find the slope of the line using the
graph.
2
a.
Find the slope of the line that goes
through the points (0, –4) and (–1, 2).
2
b.
Find the slope of the line that goes
through the points (–1, 2) and (–2, –4).
Find the slope of the line that goes
through the points (–3, 3) and (0, –6).
Page 2
Answer Key
1 a.
1 b.
The slope is –3.
2 a.
The slope is –6.
2 b.
The slope is 6.
The slope is –3.
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permission. Copyright www.HomeschoolMath.net
Graphing Worksheet
1
a.
1
b.
Find the slope of the line using the
graph.
2
a.
Find the slope of the line that goes
through the points (–3, –6) and (0, –9).
2
b.
Find the slope of the line using the
graph.
Find the slope of the line that goes
through the points (–2, 1) and (–3, –2).
Page 2
Answer Key
1 a.
1 b.
The slope is –1.
The slope is 0.
2 a.
2 b.
The slope is –2.
The slope is 3.
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permission. Copyright www.HomeschoolMath.net
Graphing Worksheet
1
a.
1
b.
Graph the line that goes through the
point (1, –3) and has a slope of 2.
2
a.
Graph the line that goes through the
point (0, –2) and has a slope of –2.
2
b.
Graph the line that goes through the
point (–1, 3) and has a slope of 3.
Graph the line that goes through the
point (1, –2) and has a slope of 0.
Page 2
Answer Key
1 a.
1 b.
2 a.
2 b.
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permission. Copyright www.HomeschoolMath.net
Graphing Worksheet
1
a.
1
b.
Graph the line that goes through the
point (0, 9) and has a slope of –3.
2
a.
Graph the line that goes through the
point (3, 6) and has a slope of –2/3.
2
b.
Graph the line that goes through the
point (1, –3) and has a slope of 5.
Graph the line that goes through the
point (2, –7) and has a slope of –2.
Page 2
Answer Key
1 a.
1 b.
2 a.
2 b.
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permission. Copyright www.HomeschoolMath.net
Ratio Problems Worksheet
Solve.If the problem asks for a ratio, give it in simplified form.
1 a. A herd of 26 horses has 7 white and some black horses. What is the ratio of
black horses to white horses?
2 a. A group of preschoolers has 8 boys and 21 girls. What is the ratio of boys to
all children?
3 a. A jar contains 20 marbles, of which 1 is blue, 4 are red, and the rest are
green. What is the ratio of green marbles to all marbles?
4 a. Dylan drew 21 hearts, 2 stars, and 5 circles. What is the ratio of stars to all
shapes?
5 a. A pattern has 15 blue triangles to every 15 yellow triangles. What is the ratio
of yellow triangles to all triangles?
6 a. An astronomy club has 28 members, of which 9 are males and the rest are
females. What is the ratio of females to males?
Page 2
Answer Key
1 a. 19 : 7
2 a. 8 : 29
3 a. 3 : 4
4 a. 1 : 14
5 a. 1 : 2
6 a. 19 : 9
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permission. Copyright www.HomeschoolMath.net
Ratio Problems Worksheet
Solve.If the problem asks for a ratio, give it in simplified form.
1 a. A bag contains 105 marbles, some white and some red. The ratio of white
marbles to red ones is 2 : 5. How many white marbles are there?
2 a. A kennel has 105 dogs in total, some are puppies and some are adult dogs.
The ratio of puppies to adult dogs in a kennel is 1 : 4. How many adult dogs
are there?
3 a. A jar contains 770 beans. Of them, 220 are pinto beans and the rest are
cranberry beans. What is the ratio of pinto beans to all the beans?
4 a. The ratio of girls to boys in a a chess club was 1 : 5. There were 30 boys.
How many total members were there in the club?
5 a. A truck is carrying mango juice, peach juice, and grape juice bottles in a ratio
of 2 : 3 : 5. If there are 39 peach juice bottles, then how many grape juice
bottles are there?
Page 2
Answer Key
1 a. There are 30 white marbles.
2 a. There are 84 adult dogs.
3 a. The ratio of pinto beans to all beans is 2 : 7.
4 a. There were 36 members.
5 a. There are 1235 grape juice bottles.
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permission. Copyright www.HomeschoolMath.net
Proportions Worksheet
1 a. 98
49
1 b. 26
d
b
= 20
9
= 27
2 a. a
47
2 b. 43
90 = 45
8
3 a. 54
27
a
= 1
86
=
x
3 b. c
86
=
36
72
Page 2
Answer Key
1 a. b = 40
1 b. d = 78
2 a. a = 94
2 b. x = 16
3 a. a = 2
3 b. c = 43
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permission. Copyright www.HomeschoolMath.net
Homeschoolmath.net
Proportions Worksheet
Round the answers to 1 decimal digit.
1 a. c
21
1 b. 37
54
48 = 35
a
= 45
2 a. 80
19
d
= 16
2 b. 87
14 =
3 a. d
3 b. 71
19
=
61
66
75 =
Page 2
Answer Key
Answers are rounded to 1 decimal digit.
1 a. c = 28.8
1 b. a = 30.8
2 a. d = 67.4
2 b. x = 7.7
3 a. d = 17.6
3 b. x = 27.5
48
x
26
x
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permission. Copyright www.HomeschoolMath.net
Proportions Worksheet
Round the answers to 2 decimal digits.
1 a. 60.4
d
40.1 = 43.2
2 a. 30
59
d
= 51
3 a. 51
91
5
= d
1 b. 85
33 =
2 b. 48.9
97
3 b. 3
79.2
d
b
= 83
x
=
7.9
60.5
Page 2
Answer Key
Answers are rounded to 2 decimal digits.
1 a. d = 65.07
1 b. d = 30.75
2 a. d = 25.93
2 b. b = 41.84
3 a. d = 8.92
3 b. x = 22.97
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permission. Copyright www.HomeschoolMath.net
Proportions Worksheet
1 a. A boat can travel 300 kilometers
on 150 liters of gasoline. How
much gasoline will it need to go
408 kilometers?
2 a. A boat can travel 184 miles on 92
gallons of gasoline. How much
gasoline will it need to go 438
miles?
1 b. A car travels 162 kilometers in 2
hours (with a constant speed).
How much time will it take traveling
468 kilometers?
2 b. 45 lbs of apples cost $360. How
many lbs of apples can you get
with $200 ?
Page 2
Answer Key
1 a. 204 liters.
1 b. 6 hours.
2 a. 219 gallons.
2 b. 25 lbs.
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permission. Copyright www.HomeschoolMath.net
Proportions Worksheet
Round the answers to 2 decimal digits.
1 a. 1 kg of bananas cost $5.90. How
many kilograms of bananas can
you get with $171.10 ?
2 a. A boat can travel 479 kilometers
on 479 liters of gasoline. How
much gasoline will it need to go
215 kilometers?
1 b. A car travels 126 kilometers in 1
hours (with a constant speed).
How much time will it take traveling
210 kilometers?
2 b. A car can travel 91 kilometers on
13 liters of gasoline. How far can it
travel on 63.3 liters?
Page 2
Answer Key
Answers are rounded to 2 decimal digits.
1 a. 29 kgs.
1 b. 1.67 hours.
2 a. 215 liters.
2 b. 443.1 kilometers.
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permission. Copyright www.HomeschoolMath.net
Percents/Decimals Worksheet
Write the following decimals as percents and vice versa, as indicated.
1 a.
32% =
1 b.
2 a.
83% =
2 b. 29% =
3 a.
45% =
3 b.
4 a.
= 0.07
= 0.16
= 0.57
4 b. 49% =
5 a.
= 0.84
5 b. 36% =
6 a.
= 0.98
6 b.
= 0.68
7 a.
= 0.66
7 b.
= 0.56
8 a.
= 0.74
8 b.
= 0.78
9 b.
= 0.92
10 b.
= 0.11
9 a.
10 a.
94% =
= 0.7
Page 2
Answer Key
1 a.
32% = 0.32
1 b.
16% = 0.16
2 a.
83% = 0.83
2 b.
29% = 0.29
3 a.
45% = 0.45
3 b.
57% = 0.57
4 a.
7% = 0.07
4 b.
49% = 0.49
5 a.
84% = 0.84
5 b.
36% = 0.36
6 a.
98% = 0.98
6 b.
68% = 0.68
7 a.
66% = 0.66
7 b.
56% = 0.56
8 a.
74% = 0.74
8 b.
78% = 0.78
9 a.
94% = 0.94
9 b.
92% = 0.92
10 a. 70% = 0.7
10 b. 11% = 0.11
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permission. Copyright www.HomeschoolMath.net
Percents/Decimals Worksheet
Write the following decimals as percents and vice versa, as indicated.
1 a.
2 a.
= 1.11
1 b.
= 0.83
2 b. 469% =
76% =
3 a.
= 9.39
3 b.
4 a.
= 5.11
4 b. 9% =
= 0.59
5 a.
5% =
5 b.
6 a.
6% =
6 b.
7 a.
29% =
7 b. 874% =
8 a.
9 a.
10 a.
= 0.82
= 0.02
= 0.47
= 4.64
= 0.14
8 b. 970% =
9 b. 42% =
10 b.
= 0.64
Page 2
Answer Key
1 a.
111% = 1.11
1 b.
83% = 0.83
2 a.
76% = 0.76
2 b.
469% = 4.69
3 a.
939% = 9.39
3 b.
59% = 0.59
4 a.
511% = 5.11
4 b.
9% = 0.09
5 a.
5% = 0.05
5 b.
464% = 4.64
6 a.
6% = 0.06
6 b.
14% = 0.14
7 a.
29% = 0.29
7 b.
874% = 8.74
8 a.
82% = 0.82
8 b.
970% = 9.7
9 a.
2% = 0.02
9 b.
10 a. 47% = 0.47
42% = 0.42
10 b. 64% = 0.64
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permission. Copyright www.HomeschoolMath.net
Percentage of Number Worksheet
Calculate the percentages.
1 a. 100% of 100
1 b. 100% of 50
2 a. 10% of 10
2 b. 30% of 80
3 a. 100% of 240
3 b. 50% of 150
4 a. 40% of 80
4 b. 60% of 220
5 a. 50% of 50
5 b. 80% of 110
6 a. 90% of 10
6 b. 40% of 180
7 a. 80% of 170
7 b. 100% of 80
Page 2
Answer Key
Answers are rounded to 3 decimals.
1 a.
100% of 100 is 100
1
× 100 = 100
1 b.
100% of 50 is 50
1
× 50 = 50
2 a.
10% of 10 is 1
0.1 × 10 = 1
2 b.
30% of 80 is 24
0.3 × 80 = 24
3 a.
100% of 240 is 240
1
× 240 = 240
3 b.
50% of 150 is 75
0.5 × 150 = 75
4 a.
40% of 80 is 32
0.4 × 80 = 32
4 b.
60% of 220 is 132
0.6 × 220 = 132
5 a.
50% of 50 is 25
0.5 × 50 = 25
5 b.
80% of 110 is 88
0.8 × 110 = 88
6 a.
90% of 10 is 9
0.9 × 10 = 9
6 b.
40% of 180 is 72
0.4 × 180 = 72
7 a.
80% of 170 is 136
0.8 × 170 = 136
7 b.
100% of 80 is 80
1
× 80 = 80
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permission. Copyright www.HomeschoolMath.net
Homeschoolmath.net
Percentage of Number Worksheet
Calculate the percentages.
1 a. 85% of 21
1 b. 65% of 7
2 a. 100% of 35
2 b. 40% of 49
3 a. 90% of 24
3 b. 75% of 26
4 a. 35% of 48
4 b. 35% of 6
5 a. 75% of 36
5 b. 35% of 15
6 a. 45% of 47
6 b. 45% of 14
7 a. 75% of 13
7 b. 90% of 9
Page 2
Answer Key
Answers are rounded to 3 decimals.
1 a.
85% of 21 is 17.85
0.85 × 21 = 17.85
1 b.
65% of 7 is 4.55
0.65 × 7 = 4.55
2 a.
100% of 35 is 35
1
× 35 = 35
2 b.
40% of 49 is 19.6
0.4 × 49 = 19.6
3 a.
90% of 24 is 21.6
0.9 × 24 = 21.6
3 b.
75% of 26 is 19.5
0.75 × 26 = 19.5
4 a.
35% of 48 is 16.8
0.35 × 48 = 16.8
4 b.
35% of 6 is 2.1
0.35 × 6 = 2.1
5 a.
75% of 36 is 27
0.75 × 36 = 27
5 b.
35% of 15 is 5.25
0.35 × 15 = 5.25
6 a.
45% of 47 is 21.15
0.45 × 47 = 21.15
6 b.
45% of 14 is 6.3
0.45 × 14 = 6.3
7 a.
75% of 13 is 9.75
0.75 × 13 = 9.75
7 b.
90% of 9 is 8.1
0.9 × 9 = 8.1
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permission. Copyright www.HomeschoolMath.net
Percentage of Number Worksheet
Calculate the percentages.
1 a. 400% of 70
1 b. 350% of 80
2 a. 350% of 100
2 b. 350% of 10
3 a. 150% of 90
3 b. 500% of 100
4 a. 500% of 80
4 b. 450% of 10
5 a. 350% of 90
5 b. 250% of 40
6 a. 350% of 70
6 b. 350% of 40
7 a. 250% of 90
7 b. 400% of 60
Page 2
Answer Key
1 a. 400% of 70 is 280
4
× 70 = 280
1 b. 350% of 80 is 280
3.5
× 80 = 280
2 a. 350% of 100 is 350
3.5
× 100 = 350
3 a. 150% of 90 is 135
1.5
× 90 = 135
4 a. 500% of 80 is 400
5
× 80 = 400
5 a. 350% of 90 is 315
3.5
× 90 = 315
6 a. 350% of 70 is 245
3.5
× 70 = 245
7 a. 250% of 90 is 225
2.5
× 90 = 225
2 b. 350% of 10 is 35
3.5
× 10 = 35
3 b. 500% of 100 is 500
5
× 100 = 500
4 b. 450% of 10 is 45
4.5
× 10 = 45
5 b. 250% of 40 is 100
2.5
× 40 = 100
6 b. 350% of 40 is 140
3.5
× 40 = 140
7 b. 400% of 60 is 240
4
× 60 = 240
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permission. Copyright www.HomeschoolMath.net
Percentage of Number Worksheet
Calculate the percentages.
1 a. 92% of 108
1 b. 15% of 475
2 a. 98% of 36
2 b. 92% of 95
3 a. 23% of 302
3 b. 18% of 581
4 a. 43% of 366
4 b. 57% of 782
5 a. 94% of 720
5 b. 16% of 662
6 a. 84% of 896
6 b. 18% of 416
7 a. 31% of 266
7 b. 61% of 703
8 a. 28% of 579
8 b. 30% of 251
9 a. 100% of 727
9 b. 40% of 282
Page 2
Answer Key
Answers are rounded to 3 decimals.
1 a.
92% of 108 is 99.36
0.92 × 108 = 99.36
1 b.
15% of 475 is 71.25
0.15 × 475 = 71.25
2 a.
98% of 36 is 35.28
0.98 × 36 = 35.28
2 b.
92% of 95 is 87.4
0.92 × 95 = 87.4
3 a.
23% of 302 is 69.46
0.23 × 302 = 69.46
3 b.
18% of 581 is 104.58
0.18 × 581 = 104.58
4 a.
43% of 366 is 157.38
0.43 × 366 = 157.38
4 b.
57% of 782 is 445.74
0.57 × 782 = 445.74
5 a.
94% of 720 is 676.8
0.94 × 720 = 676.8
5 b.
16% of 662 is 105.92
0.16 × 662 = 105.92
6 a.
84% of 896 is 752.64
0.84 × 896 = 752.64
6 b.
18% of 416 is 74.88
0.18 × 416 = 74.88
7 a.
31% of 266 is 82.46
0.31 × 266 = 82.46
7 b.
61% of 703 is 428.83
0.61 × 703 = 428.83
8 a.
28% of 579 is 162.12
0.28 × 579 = 162.12
8 b.
30% of 251 is 75.3
0.3 × 251 = 75.3
9 a.
9 b.
100% of 727 is 727
1
× 727 = 727
40% of 282 is 112.8
0.4 × 282 = 112.8
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permission. Copyright www.HomeschoolMath.net
Percentage Worksheet
Solve.
1 a.How many percent of 30 is 5?
1 How many percent of 85 is 80?
b.
2 a.How many percent of 80 is 80?
2 20 is what percentage of 100?
b.
3 a.25 is what percentage of 95?
3 How many percent of 95 is 45?
b.
4 a.How many percent of 100 is 35?
4 How many percent of 75 is 60?
b.
5 a.15 is what percentage of 100?
5 10 is what percentage of 10?
b.
6 a.40 is what percentage of 70?
6 5 is what percentage of 5?
b.
7 a.How many percent of 90 is 40?
7 10 is what percentage of 15?
b.
Page 2
Answer Key
Answers are rounded to 3 decimals.
1
5 is 16.667% of 30
a.
1
80 is 94.118% of 85
b.
2
80 is 100% of 80
a.
2
20 is 20% of 100
b.
3
25 is 26.316% of 95
a.
3
45 is 47.368% of 95
b.
4
35 is 35% of 100
a.
4
60 is 80% of 75
b.
5
15 is 15% of 100
a.
5
10 is 100% of 10
b.
6
40 is 57.143% of 70
a.
6
5 is 100% of 5
b.
7
40 is 44.444% of 90
a.
7
10 is 66.667% of 15
b.
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permission. Copyright www.HomeschoolMath.net
Homeschoolmath.net
Percentage Worksheet
Solve.
1 a.How many percent of 70 is 30?
1 How many percent of 30 is 0?
b.
2 a.How many percent of 30 is 30?
2 Find 100% of the number 0.
b.
3 a.Find 0% of the number 10.
3 20 is what percentage of 20?
b.
4 a.10 is what percentage of 50?
4 How many percent of 60 is 10?
b.
5 a.How many percent of 50 is 40?
5 What is 80% of 60?
b.
6 a.How many percent of 80 is 50?
6 What is 70% of 90?
b.
7 a.Find 10% of the number 90.
7 60 is what percentage of 70?
b.
Page 2
Answer Key
Answers are rounded to 3 decimals.
1
30 is 42.857% of 70
a.
1
0 is 0% of 30
b.
2
30 is 100% of 30
a.
2
100% of 0 is 0
b.
3
0% of 10 is 0
a.
3
20 is 100% of 20
b.
4
10 is 20% of 50
a.
4
10 is 16.667% of 60
b.
5
40 is 80% of 50
a.
5
80% of 60 is 48
b.
6
50 is 62.5% of 80
a.
6
70% of 90 is 63
b.
7
10% of 90 is 9
a.
7
60 is 85.714% of 70
b.
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Homeschoolmath.net
Percentage Worksheet
Solve.
1 a.How many percent of 57 is 38?
1 How many percent of 95 is 53?
b.
2 a.What is 90% of 77?
2 How many percent of 66 is 14?
b.
3 a.15 is what percentage of 31?
3 65 is what percentage of 73?
b.
4 a.Find 88% of the number 43.
4 How many percent of 92 is 26?
b.
5 a.How many percent of 46 is 46?
5 What is 97% of 26?
b.
6 a.Find 85% of the number 23.
6 43 is what percentage of 68?
b.
7 a.22 is what percentage of 38?
7 What is 77% of 70?
b.
Page 2
Answer Key
Answers are rounded to 3 decimals.
1
38 is 66.667% of 57
a.
1
53 is 55.789% of 95
b.
2
90% of 77 is 69.3
a.
2
14 is 21.212% of 66
b.
3
15 is 48.387% of 31
a.
3
65 is 89.041% of 73
b.
4
88% of 43 is 37.84
a.
4
26 is 28.261% of 92
b.
5
46 is 100% of 46
a.
5
97% of 26 is 25.22
b.
6
85% of 23 is 19.55
a.
6
43 is 63.235% of 68
b.
7
22 is 57.895% of 38
a.
7
77% of 70 is 53.9
b.
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Area of polygons worksheet
Findtheareaoftheshapeswhentheirverticesaregiven
1 a.
1 b.
triangle with vertices (-9, 0), (-9, 3),
and (4, 0).
2 a.
parallelogram with vertices (-7, 3),
(7, 5), (7, -1), and (-7, -3).
2 b.
parallelogram with vertices (-1, 10),
(10, 10), (10, -8), and (-1, -8).
trapezoid with vertices (-8, 7), (1, 8),
(1, -4), and (-8, -6).
Page 2
Answer Key
1 a.
1 b.
The area is 19.5 square units.
2 a.
The area is 84 square units.
2 b.
The area is 198 square units.
The area is 112.5 square units.
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permission. Copyright www.HomeschoolMath.net
Area of polygons worksheet
Findtheareaoftheshapeswhentheirverticesaregiven
1 a.
1 b.
quadrilateral with vertices (-4, 1),
(1, 7), (10, -3), and (-7, -2).
2 a.
quadrilateral with vertices (-7, 3),
(8, 0), (3, -7), and (-3, -2).
2 b.
quadrilateral with vertices (-3, 10),
(5, 2), (8, -8), and (-5, -4).
triangle with vertices (8, 5), (-8, -5),
and (-3, 10).
Page 2
Answer Key
1 a.
1 b.
The area is 79 square units.
2 a.
The area is 65 square units.
2 b.
The area is 123 square units.
The area is 95 square units.
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permission. Copyright www.HomeschoolMath.net
Area of polygons worksheet
Findtheareaoftheshapeswhentheirverticesaregiven
1 a.
1 b.
quadrilateral with vertices (-4, 0),
(10, 7), (5, -9), and (-6, -4).
2 a.
pentagon with vertices (-5, 5), (2, 8),
(6, 0), (4, -5), and (-8, -2).
2 b.
pentagon with vertices (-6, 10), (1, 6), (8, 4), (6, -5), and (-9, -9).
hexagon with vertices (-6, 0), (1, 2),
(4, 8), (6, -7), (1, -2), and (-8, -10).
Page 2
Answer Key
1 a.
1 b.
The area is 121.5 square units.
2 a.
The area is 113 square units.
2 b.
The area is 192.5 square units.
The area is 89.5 square units.
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permission. Copyright www.HomeschoolMath.net
Area of polygons worksheet
Findtheareaoftheshapeswhentheirverticesaregiven
1 a.
1 b.
parallelogram with vertices (37, 37), (20, 48), (20, -19), and (37, -30).
2 a.
triangle with vertices (9, 5), (9, -42),
and (40, 5).
2 b.
triangle with vertices (-32, 24), (32, 7), and (-35, 24).
trapezoid with vertices (-24, 4),
(21, 4), (50, -16), and (-5, -16).
Page 2
Answer Key
1 a.
1 b.
The area is 3819 square units.
2 a.
The area is 728.5 square units.
2 b.
The area is 25.5 square units.
The area is 1000 square units.
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permission. Copyright www.HomeschoolMath.net
Volume/Surface Area
1 a.
1 b.
1. This is a unit fraction cube:
1. This is a unit fraction cube:
How many unit fraction cubes fit into
the solid above?
How many unit fraction cubes fit into
the solid above?
2. Find the volume of the solid.
2. Find the volume of the solid.
2 a.
2 b.
1. This is a unit fraction cube:
1. This is a unit fraction cube:
How many unit fraction cubes fit into
the solid above?
How many unit fraction cubes fit into
the solid above?
2. Find the volume of the solid.
2. Find the volume of the solid.
Page 2
Answer Key
1 a.
A total of 240 unit fraction cubes fit
into the rectangular prism.
The volume is 8 8/9 cubic units.
1 b.
A total of 500 unit fraction cubes fit
into the rectangular prism.
The volume is 7 13/16 cubic units.
2 a.
A total of 550 unit fraction cubes fit
into the rectangular prism.
The volume is 8 19/32 cubic units.
2 b.
A total of 56 unit fraction cubes fit into
the rectangular prism.
The volume is 2 2/27 cubic units.
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permission. Copyright www.HomeschoolMath.net
Volume/Surface Area
1 a.
1 b.
1. This is a unit fraction cube:
1. This is a unit fraction cube:
How many unit fraction cubes fit into
the solid above?
How many unit fraction cubes fit into
the solid above?
2. Find the volume of the solid.
2. Find the volume of the solid.
2 a.
2 b.
1. This is a unit fraction cube:
1. This is a unit fraction cube:
How many unit fraction cubes fit into
the solid above?
How many unit fraction cubes fit into
the solid above?
2. Find the volume of the solid.
2. Find the volume of the solid.
Page 2
Answer Key
A total of 20 unit fraction cubes fit into
A total of 32 unit fraction cubes fit into
1 a. the rectangular prism.
1 b. the rectangular prism.
The volume is 2 1/2 cubic units.
The volume is 1 5/27 cubic units.
2 a.
A total of 140 unit fraction cubes fit
into the rectangular prism.
The volume is 35/54 cubic units.
2 b.
A total of 45 unit fraction cubes fit into
the rectangular prism.
The volume is 45/64 cubic units.
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permission. Copyright www.HomeschoolMath.net
Volume/Surface Area
1 a.
1 b.
Find the surface area of this
rectangular prism.
Find the volume of this rectangular
prism.
2 a.
2 b.
Find the volume of this rectangular
prism.
3 a.
Find the volume of this rectangular
prism.
3 b.
Find the volume of this rectangular
prism.
Find the surface area of this
rectangular prism.
Page 2
Answer Key
1 a.
52 square units.
1 b.
The volume is 80 cubic units.
2 a.
The volume is 324 cubic units.
2 b.
The volume is 180 cubic units.
3 a.
The volume is 270 cubic units.
3 b.
170 square units.
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permission. Copyright www.HomeschoolMath.net
Volume/Surface Area
1 a.
1 b.
Find the surface area of this
rectangular prism.
Find the surface area of this
rectangular prism.
2 a.
2 b.
Find the volume of this rectangular
prism.
3 a.
Find the surface area of this
rectangular prism.
3 b.
Find the volume of this rectangular
prism.
Find the surface area of this
rectangular prism.
Page 2
Answer Key
1 a.
427.9 square units.
1 b.
284.52 square units.
2 a.
The volume is 2109.362 cubic units.
2 b.
162.22 square units.
3 a.
The volume is 463.14 cubic units.
3 b.
322.22 square units.
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permission. Copyright www.HomeschoolMath.net
Volume/Surface Area
1 a.
1 b.
The surface area of this cube is
150 square units. What is its edge
length?
The volume of this cube is 64 cubic
units. What is its edge length?
2 a.
2 b.
The volume of this cube is 125 cubic
units. What is its surface area?
The volume of this cube is 125 cubic
units. What is its surface area?
Page 2
Answer Key
1 a.
The edge length is 5 units.
1 b.
The edge length is 4 units.
2 a.
The surface area is 150 square units.
2 b.
The surface area is 150 square units.
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permission. Copyright www.HomeschoolMath.net
Circle Worksheet
1 a.
1 b.
|
d = 1.3 m
|
Calculate the circumference of the
circle.
|
d = 4.7 in
|
Calculate the circumference of the
circle.
2 a.
2 b.
d = 8.6 ft
r = 2.7 mm
Calculate the circumference of the
circle.
Calculate the circumference of the
circle.
Page 2
Answer Key
Answers are rounded to 2 decimals.
1 a.
408.2 m
1 b.
1475.8 in
2 a.
2700.4 ft
2 b.
1695.6 mm
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permission. Copyright www.HomeschoolMath.net
Homeschoolmath.net
Circle Worksheet
1 a.
1 b.
|
d = 3.9 in
|
|
|
r = 5.5 mm
Calculate the area of the circle.
2 a.
Calculate the area of the circle.
2 b.
|
|
r = 3.5 yd
r = 8.5 in
Calculate the area of the circle.
Calculate the area of the circle.
Page 2
Answer Key
Answers are rounded to 2 decimals.
1 a.
1193.99 in2
1 b.
9498.5 mm2
2 a.
3846.5 yd2
2 b.
22686.5 in2
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permission. Copyright www.HomeschoolMath.net
Circle Worksheet
1 a.
1 b.
C = 1.8 m
C = 7.1 m
Calculate the diameter of the circle.
Calculate the diameter of the circle.
2 a.
2 b.
C = 5.2 mm
C = 5.1 mm
Calculate the diameter of the circle.
Calculate the radius of the circle.
Page 2
Answer Key
Answers are rounded to 2 decimals.
1 a.
0.01 m
1 b.
0.02 m
2 a.
0.02 mm
2 b.
0.01 mm
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permission. Copyright www.HomeschoolMath.net