ID: 1
Keystone Algebra 1
Name___________________________________
Practice for Final Exam #2
Date________________ Period____
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Solve each inequality and graph its solution.
1) −5 −4 x ≥ −20
−2
−1
n
− 9 ≥ −5
2
2)
0
1
2
3
4
−10 −8
a
≤3
5
3) 5
−4
−3
−2
4) 9
−1
0
1
2
3
4
5
−6
−4
−2
0
2
4
6
8
10
v
≤ 18
2
−7 −6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
7
Simplify.
5)
2
3 2 −2
6)
2
2−
5
Solve each equation.
7)
n+6
=1
3
Factor each completely.
8) r 2 + 7r − 30
9) x 2 + 8 x + 7
10) 4b 2 − 56b + 192
11) 4 x 2 − 8 x − 60
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-1-
Worksheet by Kuta Software LLC
Sketch the graph of each line.
12) x − 4 y = 0
6
5
4
3
2
1
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
−2
−3
−4
−5
−6
Sketch the graph of each linear inequality.
13) y > − x + 1
6
5
4
3
2
1
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
−2
−3
−4
−5
−6
Solve each compound inequality and graph its solution.
14) −2 < 6 − 2 x ≤ 20
−10
−8
−6
−4
−2
0
2
4
6
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-2-
Worksheet by Kuta Software LLC
Sketch the solution to each system of inequalities.
3
x−2
2
1
y<− x+2
2
15) y ≤
5
4
3
2
1
−5
−4
−3
−2
−1 0
−1
1
2
3
4
5
−2
−3
−4
−5
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-3-
Worksheet by Kuta Software LLC
ID: 1
Keystone Algebra 1
Name___________________________________
Practice for Final Exam #2
Date________________ Period____
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Solve each inequality and graph its solution.
1) −5 −4 x ≥ −20
−2
−1
n
− 9 ≥ −5
2
2)
0
1
2
3
4
−10 −8
a
≤3
5
3) 5
−4
−3
−2
4) 9
−1
0
1
2
3
4
5
−6
−4
−2
0
2
4
6
8
10
v
≤ 18
2
−7 −6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
7
Simplify.
5)
2
3 2 −2
6)
3+ 2
7
2
2−
5
−2 − 10
3
Solve each equation.
7)
n+6
=1
3
{−3, −9}
Factor each completely.
8) r 2 + 7r − 30
9) x 2 + 8 x + 7
(r + 10)(r − 3)
10) 4b 2 − 56b + 192
(x + 7)( x + 1)
11) 4 x 2 − 8 x − 60
4(b − 8)(b − 6)
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4( x − 5)( x + 3)
-1-
Worksheet by Kuta Software LLC
Sketch the graph of each line.
12) x − 4 y = 0
6
5
4
3
2
1
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
−2
−3
−4
−5
−6
Sketch the graph of each linear inequality.
13) y > − x + 1
6
5
4
3
2
1
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
−2
−3
−4
−5
−6
Solve each compound inequality and graph its solution.
14) −2 < 6 − 2 x ≤ 20
−10
−8
−6
−4
−2
0
2
4
6
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-2-
Worksheet by Kuta Software LLC
Sketch the solution to each system of inequalities.
3
x−2
2
1
y<− x+2
2
15) y ≤
5
4
3
2
1
−5
−4
−3
−2
−1 0
−1
1
2
3
4
5
−2
−3
−4
−5
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-3-
Worksheet by Kuta Software LLC