Name
Alg1
10/30/07
1 Quarter Quiz and Test Reviews
st
Review for Quarter 1 Exam
Q1 Quiz 2 Review
Part I: Sets of Numbers:
For #’s 1-6, write the sets each number belongs to:
1) .5
2) √9
3) -3
4) π
5) 6
6) ¾
7) Which number is rational, but not an integer?
a) 0
b) -3
c) ½
d) none
8) Find the number that is whole, but not an integer.
a) 0
b) π
c) - ⅔
d) none
9) Find the number that is whole, but not natural.
a) 4
b) -4
c) 0
d) none
10) Which number is an integer, but not rational?
a) 0
b) -3
c) ½
d) none
11) Name a number that is an integer, but not a natural number:
12) Name a number that is a whole number, but not rational:
13) Name a number that is rational, but not whole:
Name
Alg1
10/30/07
1 Quarter Quiz and Test Reviews
st
A. Complete the Matching Column (put the corresponding letter next to the number)
1) 6 + (11 + 8) = (6 +11) + 8
a) Multiplicative property of zero
2) 26 +0 = 26
b) Additive Identity
3) 32  1 = 32
c) Multiplicative identity
4) 14 + 3 = 3 + 14
d) Associative Property of Multiplication
5) 9  0 = 0
e) Commutative Property of Addition
6) If 31 + 5 = 9∙4 and 9∙4 = 62, then 31 + 5= 62 f) Associative Property of Addition
7) If 32 = 22+10, then 22+10 = 32
g) Symmetric
8) 6 ∙ 9 = 6 ∙ 9
h) Transitive
9) 6 ∙ (2 ∙ 12) = (6 ∙ 2) ∙ 12
i) Reflexive
10) 4(5 + 1) = 4(5) + 4(1)
j) Distributive
B. Complete the Matching Column (put the corresponding letter next to the number
11) If 5+2=7 and 7=8-1, then 5+2=8-1 a) Reflexive
12) 13  1 = 13
b) Additive Identity
13) 3(9 – 2) = 3(9) – 3(2)
c) Multiplicative identity
14) 5 ∙ 7 = 7 ∙ 5
d) Associative Property of Multiplication
15) 11 + 0 = 11
e) Transitive
16) 16 ∙ 5 = 5 ∙ 16
f) Commutative Property of Multiplication
17) If 11+5 = 16, then 16 = 11+5
g) Symmetric
18) 8 +10 = 8 + 10
h) Commutative Property of Addition
19) 13  0 = 0
I) Multiplicative property of zero
20) 7  (9  2) = (7  9)  2
j) Distributive
C. Circle Each Correct Answer:
21) Which property is represented by 7(12 – 8) = 7(12) – 7(8) ?
a) associative
b) commutative
c) distributive
d) symmetric
22) Which property is represented by x + y = y + x ?
a) commutative prop of add. b) symmetric
c) reflexive
d) associative prop. of add.
23) Which number is irrational?
a) √9
b) .25
c) 0
24) Which number is rational, but not an integer?
a) - 4/2
b) -3/2
c) 0
d) √10
d) none
25) Which property is illustrated by If 6 + 5 = 11, then 11 = 6 + 5?
a) commutative prop of add. b) symmetric
c) reflexive
26) Which property is illustrated by 7 + 2 = 7 + 2?
a) commutative prop of add. b) symmetric
c) reflexive
d) associative prop. of add.
d) transitive
Name
Alg1
10/30/07
1 Quarter Quiz and Test Reviews
st
Q1 Quiz 3 Review
Answer each problem.... you must show “K-C-O” for all subtraction problems.
Part I:
1) -47 + 91
2) – 39 + (-74)
3) 65 + (-48)
4) -17 – 41
5) 31.5 – (-62.3)
6) (-22)(15)
7) -64 ∙ (- ¾ )
8) -45 ÷ (-⅜ )
9) 40 ÷ (-⅝)
Part II:
1) –16 + 31 =
6) 33 ÷ (-⅓) =
2) 53 + (- 41) =
3) -21 + (-13) =
7) 51 – (-14) =
4) 7 ½ ∙ 3 ⅓ =
5) -21 – 16 =
Q1 Quiz 4 Review
1) Evaluate:
2) a = -4
225 ÷ (51 - 62) - 32 ÷ (-4/9) =
b=9
3a2 – (8b ÷ a) + (5)(-6) _
ba2 ÷ [9a ÷ (2b)]
3) Evaluate when a = -3, b = 5, and c = -7
6b – 56 ÷ (2c) + 3a .
(2c2 + 10a) ÷ (b – 1) – 7
4) Evaluate when a = -8, b = -3, and c = 9
4b3 + ac – ab - 1
c2 – 16b ÷ a + 4a - 2
8) – 43 – (-65) =
Name
Alg1
10/30/07
1 Quarter Quiz and Test Reviews
st
5) Evaluate when a = -2, b = -5, and c = 6
4a3 ∙ (22 + bc) – 2a
3b2 – 4c + 10a + b
6) x = -4 and y = 7
yx3 - xy2 + 11xy
7) x = -3
12x2 – 2x3 ÷ (2x + 12) + 6x
8) Evaluate when x = 4 y = -8 and z = 6
xyz - 2y2 ÷(- ½) - 3xz _
( z2 + x2 – y2 + 2) ÷ (⅔) + 1
9) f = 9
3 - 4f 2 ÷ 27 + f =
Q1 Quiz 5 Review
1) (22x - 13) + (9 - 19x)
3) 8(5x - 7) + 9(7x + 12)
5) 8(6x2 - 9x - 3) - 6(-8x2 - 12x + 7)
7) (14x - 11) + (6x + 9)
9) 7(4x – 5) + 2(14x + 15)
11) 5(6x2 – 2x + 12) - 10(3x2 - x + 6)
2) (16x + 7) - (13x - 11)
4) 12(5x + 6) - 4(15x + 18)
6) 3(11x2 - 9x + 6x) + 9(-4x2 - 3x - 2)
8) (8x2 – 5x + 7) - (9x2 – 7x + 10)
10) 9(7x – 6) - 6(10x + 11)
12) 11(-5x2 + 3x – 6) + 8(7x2 – 4x + 8)
Q1 Quiz 5 Review Answer Key:
1) 3x - 4
2) 3x + 18
3) 103x + 52
7)20x - 2
8) -x2 + 2x – 3
4) 0 5) 96x2 - 66
9) 56x - 5
6) -3x2 - 36x - 18
10) 3x – 120 11) 0 12) x2 + x – 2
Name
Alg1
10/30/07
1 Quarter Quiz and Test Reviews
st
Q1 Quiz 6 Review
1) ⅝ x + 11 = - 4
2) 45 - ¾ x = - 9
3) ⅔ x - 120 = 80
4) 54 - ⅜ x = 63
5) 7(4x + 3) – 8(3x - 2) = -3
6) 6(5x - 1) = 4(10x + 16)
7) 9(6x + 3) + 8(2x - 11) = -271
8) 6(6x + 1) = 19(3x - 3)
9) 3(8x + 6) = 8(4x + 2)
10) 5(11x – 5) – 7(9x - 2) = 37
11) 10(5x + 15) = 7(8x + 12)
12) 4(8x + 3) – 6(7x - 8) = 35
13) 4(6x - 4) + 7 .
11
= -3
14) 5(3x + 3) .
4
+ 8 = 38
15) 6(4x - 3) + 2 .
7
= -4
16) 5(2x - 6) .
8
- 15 = -5
17) 8(6x – 7) .
5
+ 40 = 0
18) 2(8x - 5) + 2 .
-6
= -12
19) 5(6x - 3) .
9
+ 3 = -12
20) 7(5x + 4) - 3 .
5
= -9
Answer Key:
1) x = -24 2) x = 72
3) x = 300
6) x = -7
7) x = -3
8) x = 3
11) x = 11 12) x = -2.5 13) x = -1
16) x = 11 17) x = -3
18) x = 5
4) x = -24
9) x = 1/4
14) x = 7
19) x = -4
5) x = -10
10) x = -6
15) x = -1/2
20) x = -2
Name
Alg1
10/30/07
1 Quarter Quiz and Test Reviews
st
Q1 Quiz 7 Review
1) 12x – 17 > 19
3) 14x - 2 > 20x + 10
5) 6(4x -2) > 5(7x + 2)
7) 6(6x – 3) + 4(7 – 12x) > 28
9) 8(7x + 5) > 5(4x + 8)
11) 7(6x – 4) < 4(3x – 7)
2) 41 – ¾ x < 53
4) 8(5x – 4) – 6(3x + 5) < -7
6) 16 < 5x – 4
8) -24 < 26 - ⅝ x
10) 4(7x +3) – (16x – 13) > 17
12) (15x – 8) – (19x + 8) < -14
Q1 Quiz 8 Review
1) 4x – 7 > -15 ∩ 7x + 5 < 26
2) 12x + 7 < -41  10 - ⅔x < 8
3) -13 < 5x + 7 < 22
4) -13 < 3x - 13 < -1
5) 10x - 8 < -23  14 – 2x < 4
6) 9x – 5 > 13 ∩ 16 - 7x > 37
7) 20 – 3x < 26  6x – 11 < 13
8) 29 – 6x > 41  4x + 7 < 19
Q1 Test 1 Review
Section 1: Sets of Numbers
1) Which number is a rational number but not an integer?
a) – 6
b) 0
c) ⅝
d) none
2) Which number is an integer but not a natural number?
a) π
b) -¾
c) 0
d) none
3) Which number is an integer, but not rational?
a) π
b) 4
c) -.25
d) none
4) Which number is whole, but not natural?
a) 0
b) 4
c) .75
d) none
5) Which number is natural, but not whole?
a) ¼
b) 4
c) 0
d) none
6) Give an example of a number that is rational, but not an integer.
7) Give an example of a number that is an integer, but not a whole number.
8) Give an example of a number that is a whole number, but not a natural number.
9) Give an example of a number that is a whole number, but not an integer.
10) Give an example of a number that is rational, but not a whole number.
Name
Alg1
10/30/07
1 Quarter Quiz and Test Reviews
st
Section 2: Properties
A. Complete the Matching Column (put the corresponding letter next to the number
1)
6-9=6-9
a) Reflexive
2)
4(5 + 2) = 4(5) + 4(2)
b) Additive Identity
3)
17 · 8 = 8 · 17
c) Multiplicative identity
4)
6 · (2 · 12) = (6 · 2) · 12
d) Associative Property of Mult.
5)
32 + 0 = 32
e) Transitive
6)
11 + (3 + 18) = (11 +3) + 18
f) Associative Property of Add.
7)
If 40 + 4 = 44 and 44 = 4 · 11, then 40 + 4 = 4 · 11
g) Symmetric
8)
22 · 0 = 0
h) Commutative Property of Mult.
9) If 30 = 5 · 6, then 5 · 6 = 30
i) Multiplicative property of zero
10) 26 · 1 = 26
j) Distributive
Section 3: Operations with Signed Numbers
1) 76 + (-28)=
4) -51 – 64
2) -85 + (-23) =
5) 67 – (-74) =
3) –48 + 37 =
6) -101 – (-44) =
7) – 2 and 1/7 times 9 and 1/3
1/610) 10 and 2/7 div -11 and 1/5
8) 5 and 1/7 DIV -8 nd 2/5
11) -125/175
9)-6 and 2/5 times 4 and
12) -84/-36
Section 4: Order of Operations:
1) 256 – 13 ÷ ⅓ + 11=
5) Substitute and Evaluate:
3y3 - 2y2 ÷ 10 + 379 =
y = -5
2) 24 ÷ (6 – 3 · 4) · 13 =
2
6) Substitute and Evaluate: b = 7 and c = -2
bc2 ÷ (42 – 4b) – 11c =
2
3) (-7) - 12 · ¼ + (6)(-2) =
7) Evaluate when a = -8, b = -3, and c = 9
4b3 + ac – ab - 1
c2 – 16b ÷ a + 8a + 2b
Section 5: Simplifying and Solving Equations
1) (6x - 5) + (7x + 7)
2) (6x2 – 5x + 7) + (9x2 – 4x + 8)
3) 4(3x – 5) + 6(4x + 3)
4) 5(6x – 9) – 7(4x – 8)
5)8(3x2 – 4x + 9) + 6(4x2 + 5x – 12)
6) 9(4x2 + 3x – 8) – 7(6x2 – 4x + 10)
7) 6(2x – 5) + 3(3x + 2)
8) 4(8x + 5) – 10(5x + 2)
9) 6(4x2 – x + 7) + 8(3x2 – 2x – 6)
10) 10(3x2 – 5x + 3) + 6(5x2 – 4)
11) 12(3x2 – 6x + 9) – 9(4x2 – 8x + 12)
Name
Alg1
10/30/07
1 Quarter Quiz and Test Reviews
st
Q1 Test 2 Review
Solving Equations:
1) 10x – 8 = -33
-2.5
2) 34 – 6x = -14
8
3) ⅔x + 15 = 33
27
4) - 23 - ⅝x = 7
-48
5) (x/7) + 40 = 43
21
6) 24 – (x/5) = 30
-30
8) 4(3x – 7) + 6(3x + 4) = -49
-1.5
9) 6(5x – 4) – 4(7x – 9) = 36 12
10) 6(4x – 5) - 5(7x - 6) = -110
10
11) 5(3x – 2) = 4(6x + 11)
-6
12) 8(5x – 3) = 6(5x + 1)
3
x=4
14) 4(3x + 3) .
6
+ 8 = -8
-9
16) 5(2x - 6) .
12
- 15 = -10
9
= -8
3
7) (6x - 5) - (10x - 11) = 34
-7
13) 4(6x - 4) - 3 .
11
=7
15) 6(4x - 3) + 3 .
7
= 15 x=5
17) 8(6x – 7) .
5
+ 40 = 72
19) 5(6x + 2) .
9
+ 3 = -22
x = 4.5
18) 2(8x - 5) + 2 .
-5
x = -7
20) 7(5x + 4) + 22 .
11
= -5
-3
Solving and Graphing Simple Inequalities:
1) 8x – 17 > -5
x > 1.5
2) 50 – ¾ x < 68
x > -24
3) 12x - 2 > 17x + 18
x<4
4) 8(5x – 4) – 6(7x + 4) < -64
x>4
5) 38 < 26 - ⅜ x
x < -32
6) 6(4x -1) > 7(4x - 2)
x<2
7) 9(4x + 4) > 4(4x - 1)
x > -2
8) -4 > 5(4x + 6) + 6(4x – 2)
x<-½
Compound Inequalities:
1) 9x – 5 > -32 ∩ ¾ x + 5 < 8
x > -3 ∩ x < 4
3) -12 < 7x + 2 < 23
x> -2 ∩ x < 3
5) 13x - 5 < 21  14 – 2x > 18
x < 2  x > -2
7) -12 < ¼ x - 11 < -11
x > -4 ∩ x < 0
2) 10x + 7 < -18  15 - ⅔x < 11
x < -2.5  x > 6
4) 12 – 3x < -3  6x – 11 > -17
x > 5  x < -2
6) 8x – 13 > 19 ∩ 16 - ⅓x > 17
x > 4 ∩ x < -3
8) 25 – 6x > 40  -3x + 6 < -9
x < -2.5  x > 5