3.2 Review Worksheet, Part 1
3.2.1 Solving Two-Step and Multi-Step Inequalities Solve each inequality and graph the solutions. 1. 4 r − 9 > 7 2. 3 ≤ 5 − 2 x 3. + > w 3 2 6
4. 11 w + 99 < 77
5. ≥ + v 9 1 2
7. − ≤ z 8 2 3
+ <− f 2 1 2
6. − 4 x − 8 > 16
8.
3
2
2
− p
1 3
5 3 2
− n 3 8 5
9.
10. − 5 > − 5 − 3 w
11.
12.
+ > v 2 1 2
10
2
>
≥
13. 4( x + 3) > − 24
14. 4 > x − 3( x + 2)
15. − 18 ≥ 33 − 3 h
16. − 2 > 7 x − 2( x − 4)
17. 9 − (9) 2 > 10 x − x
18. 2 a − ( − 3) 2 ≥ 13
− + > x 1
2 3
19.
20. 12( x − 3) + 2 x > 6
21. 15 ≥ 19 + 2( q − 18)
6
3
22. One cell phone company offers a plan that costs $29.99 and includes unlimited night and weekend minutes. Another company offers a plan that costs $19.99 and charges $0.35 per minute during nights and weekends. For what numbers of night and weekend minutes does the second company’s plan cost more than the first company’s plan?
3.2.2 Solving Inequalities with Variables on Both Sides Solve each inequality and graph the solutions. 23. 2.8 m − 5.2 > 0.8 m + 4.8
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