ID: 1
Algebra 1
Name___________________________________
Practice Midterm
Date________________ Period____
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Solve each equation.
1) −13 = −30 − p
2) −90 = −6(1 + x)
3) 7 p + 25 = 4( p + 7)
Create and solve an equation for the following word problem
4) Jaidee won 115 pieces of gum playing basketball at the county fair. At school she gave four to every student in
her math class. She only has 3 remaining. How many students are in her class?
5) The sum of three consecutive odd numbers is 45. What are the three numbers?
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-1-
Worksheet by Kuta Software LLC
Solve each inequality and graph its solution.
6) 81 ≤ 1 − 5a
7) 11 < 9 +
n
9
−20 −19 −18 −17 −16 −15 −14 −13 −12 −11
14
15
16
17
18
19
20
21
22
23
8) 7(1 − 4v) ≥ −35 − 7v
−2
−1
0
1
2
3
4
Solve each compound inequality and graph its solution.
10) 4m − 3 ≥ −3 or −10 + 6m ≤ −34
9) −22 ≤ 11 + 3r ≤ −10
−12
−11
−10
−9
−8
−7
−6
−5
−4
−7 −6 −5 −4 −3 −2 −1
0
1
2
3
4
5
Create and solve an inequality for the following problem
11) Stefan's Bikes rents bikes for $11 plus $4
per hour. Johncan only pay $43 to rent a bike. For
how many hours can he rent the bike?
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-2-
Worksheet by Kuta Software LLC
Solve each equation.
13) −6v + 2 = −4
12) n + 1 = 5
−9 x − 8
14)
10
=2
Solve each inequality and graph its solution.
16) 5 n − 6 > 10
15) −2k + 1 ≥ 3
−5
−4
−3
−2
−1
0
1
2
3
4
5
6
1
2
3
4
5
6
7
8
9
10
11
Find the slope of the line through each pair of points.
17) (−14, 18), (18, 17)
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18) (4, −12), (13, −6)
-3-
Worksheet by Kuta Software LLC
Find the slope of a line parallel to each given line.
19) y = −5 x − 3
Find the slope of a line perpendicular to each given line.
9
20) y = − x − 5
4
Sketch the graph of each line.
22) y = −8 x + 4
3
21) y = − x + 1
2
6
5
6
4
5
3
4
2
3
1
2
−6 −5 −4 −3 −2 −1 0
1
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
1
2
3
4
5
6
−2
−3
−2
−4
−3
−5
−4
−6
−5
−6
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-4-
Worksheet by Kuta Software LLC
23) 2 x − y = 4
24) 2 x + 5 y = 10
6
6
5
5
4
4
3
3
2
2
1
1
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
−6 −5 −4 −3 −2 −1 0
−2
−2
−3
−3
−4
−4
−5
−5
−6
−6
1
2
3
4
5
6
Write the slope-intercept form of the equation of the line through the given point with the given slope.
25) through: (−3, 2), slope = −
1
3
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26) through: (−5, 4), slope = −
-5-
3
5
Worksheet by Kuta Software LLC
Sketch the graph of each linear inequality.
28) 3 x − 5 y ≤ 20
1
27) y < − x − 1
2
6
5
6
4
5
3
4
2
3
1
2
−6 −5 −4 −3 −2 −1 0
1
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
1
2
3
4
5
6
−2
−3
−2
−4
−3
−5
−4
−6
−5
−6
29) 6 x + 5 y ≤ −5
6
5
4
3
2
1
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
−2
−3
−4
−5
−6
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-6-
Worksheet by Kuta Software LLC
ID: 1
Algebra 1
Name___________________________________
Practice Midterm
Date________________ Period____
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Solve each equation.
1) −13 = −30 − p
2) −90 = −6(1 + x)
{−17}
{14}
3) 7 p + 25 = 4( p + 7)
{1 }
Create and solve an equation for the following word problem
4) Jaidee won 115 pieces of gum playing basketball at the county fair. At school she gave four to every student in
her math class. She only has 3 remaining. How many students are in her class?
The dot next to the choice indicates that it is the answer.
5) The sum of three consecutive odd numbers is 45. What are the three numbers?
The dot next to the choice indicates that it is the answer.
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-1-
Worksheet by Kuta Software LLC
Solve each inequality and graph its solution.
6) 81 ≤ 1 − 5a
7) 11 < 9 +
n
9
−20 −19 −18 −17 −16 −15 −14 −13 −12 −11
14
15
16
17
18
19
20
21
22
23
8) 7(1 − 4v) ≥ −35 − 7v
−2
−1
0
1
2
3
4
Solve each compound inequality and graph its solution.
10) 4m − 3 ≥ −3 or −10 + 6m ≤ −34
9) −22 ≤ 11 + 3r ≤ −10
−12
−11
−10
−9
−8
−7
−6
−5
−4
−7 −6 −5 −4 −3 −2 −1
0
1
2
3
4
5
Create and solve an inequality for the following problem
11) Stefan's Bikes rents bikes for $11 plus $4
per hour. Johncan only pay $43 to rent a bike. For
how many hours can he rent the bike?
The dot next to the choice indicates that it is the answer.
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-2-
Worksheet by Kuta Software LLC
Solve each equation.
13) −6v + 2 = −4
12) n + 1 = 5
{4, −6}
No solution.
−9 x − 8
14)
=2
10
{
−
28 4
,
9 3
}
Solve each inequality and graph its solution.
15) −2k + 1 ≥ 3
−5
−4
−3
−2
−1
16) 5 n − 6 > 10
0
1
2
3
4
5
6
1
2
3
4
5
6
7
8
9
10
11
Find the slope of the line through each pair of points.
17) (−14, 18), (18, 17)
−
18) (4, −12), (13, −6)
1
32
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2
3
-3-
Worksheet by Kuta Software LLC
Find the slope of a line parallel to each given line.
19) y = −5 x − 3
−5
Find the slope of a line perpendicular to each given line.
9
20) y = − x − 5
4
4
9
Sketch the graph of each line.
22) y = −8 x + 4
3
21) y = − x + 1
2
6
5
6
4
5
3
4
2
3
1
2
−6 −5 −4 −3 −2 −1 0
1
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
1
2
3
4
5
6
−2
−3
−2
−4
−3
−5
−4
−6
−5
−6
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-4-
Worksheet by Kuta Software LLC
23) 2 x − y = 4
24) 2 x + 5 y = 10
6
6
5
5
4
4
3
3
2
2
1
1
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
−6 −5 −4 −3 −2 −1 0
−2
−2
−3
−3
−4
−4
−5
−5
−6
−6
1
2
3
4
5
6
Write the slope-intercept form of the equation of the line through the given point with the given slope.
25) through: (−3, 2), slope = −
1
3
26) through: (−5, 4), slope = −
1
y=− x+1
3
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3
5
3
y=− x+1
5
-5-
Worksheet by Kuta Software LLC
Sketch the graph of each linear inequality.
28) 3 x − 5 y ≤ 20
1
27) y < − x − 1
2
6
5
6
4
5
3
4
2
3
1
2
−6 −5 −4 −3 −2 −1 0
1
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
1
2
3
4
5
6
−2
−3
−2
−4
−3
−5
−4
−6
−5
−6
29) 6 x + 5 y ≤ −5
6
5
4
3
2
1
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
−2
−3
−4
−5
−6
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-6-
Worksheet by Kuta Software LLC