Practice Test - Chapter 5
Solve each inequality. Then graph it on a number line.
1. x – 9 < −4
ANSWER: x <5
2. 6p ≥ 5p − 3
ANSWER: p ≥ −3
3. MULTIPLE CHOICE Drew currently has 31 comic books in his collection. His friend Connor has 58 comic
books. How many more comic books does Drew need to add to his collection in order to have a larger collection
than Connor?
A no more than 21
B 27
C at least 28
D more than 30
ANSWER: C
Solve each inequality. Graph the solution on a number line.
4. ANSWER: h > 15
5. 7w ≤ −42
ANSWER: w ≤ −6
6. ANSWER: t ≤ −36
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7. −9m < −36
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ANSWER: w ≤ −6
Practice Test - Chapter 5
6. ANSWER: t ≤ −36
7. −9m < −36
ANSWER: m>4
8. 3c − 7 < 11
ANSWER: c <6
9. + 3 ≤ −9
ANSWER: g ≤ −48
10. −2(x − 4) > 5x − 13
ANSWER: x <3
Solve each compound inequality. Then graph the solution set.
12. y − 8 < −3 or y + 5 > 19
ANSWER: y < 5 or y > 14
13. −11 ≤ 2h − 5 ≤ 13
ANSWER: −3 ≤ h ≤ 9
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14. 3z − 2 > −5 and 7z + 4 < −17
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ANSWER: y < 5 or y > 14
Practice Test - Chapter 5
13. −11 ≤ 2h − 5 ≤ 13
ANSWER: −3 ≤ h ≤ 9
14. 3z − 2 > −5 and 7z + 4 < −17
ANSWER: Ø
Define a variable, write an inequality, and solve the problem. Check your solution.
15. The difference of a number and 4 is no more than 8.
ANSWER: Let x = the number; x − 4 ≤ 8; x ≤ 12.
16. Nine times a number decreased by four is at least twenty-three.
ANSWER: Let x = the number; 9x − 4 ≥ 23; x ≥ 3
17. MULTIPLE CHOICE Write a compound inequality for the graph shown.
F −2 ≤ x < 3
G x ≤ −2 or x ≥ 3
H x < −2 or x ≥ 3
J −2 < x ≤ 3
ANSWER: G
Graph each inequality.
23. y < 4x − 1
ANSWER: 24. 2x + 3y ≥ 12
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Practice Test - Chapter 5
24. 2x + 3y ≥ 12
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