Algebra I Chapter Review

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Chapter Review
13–61 (Odds Only) on pp. 223–226

Solve each inequality. Graph your solutions.
13. w + 3 > 9
W + 3 – 3 > 9 – 3
W > 6
15. -4 < t + 8
-4 – 8 < t + 8 – 8
t > -12
17. 22.3 ≤ 13.7 + h
22.3 – 13.7 ≤ 13.7 – 13.7 + h
h ≥ 8.6
19. You have at most $15.00 to spend. You want to buy a used CD that costs $4.25. Write and solve an inequality to find the possible additional amounts you can spend. a = Additional funds you can spend.

a ≤ 15 – 4.25
21. -6t > 18
-6t-6 > 18-6
t < -3
23. - h4 < 6
- h4 × -4 < 6 × -4
h > -24
25. - 35n ≥ - 9
- 35n ÷ - 35 ≥ - 9 ÷ - 35
n ≤ 15
27. -17.1m < 23.8
-17.1m ÷ -17.1 < 23.8 ÷ -17.1
m > 1.392
Solve each inequality.
29. 4k – 1 ≥ -3
4k – 1 + 1≥ -3 + 1
4k4 ≥ -24
k ≥ -0.5

31. 3t > 5t + 12
3t – 5t > 5t – 5t + 12
-2t-2 > 12-2
t < -6

33. 4 + x2 > 2x
4 + x2 × 2 > 2x × 2
4 + x - x > 4x – x
43 > 3x3
1.33 > x

35. 13.5a + 7.4 ≤ 85.7
13.5a + 7.4 – 7.4 ≤ 85.7 – 7.4
13.5a13.5 ≤ 78.313.5
a ≤ 5.8
37. A salesperson earns $200 per week plus a commission equal to 4% of her sales. This week her goal is to earn no less than $450. Write and solve an inequality to find the amount of sales she must have to reach her goal.

200 + .04s ≥ 450
200 – 200 + .04s ≥ 450 -200
.04s.04 ≥ 250.04
s ≥ $6,250
41. Suppose U = {1, 2, 3, 4, 5, 6, 7, 8} and B = {2, 4, 6, 8}. What is B’? B’ = {1, 3, 5, 7}
Solve each compound inequality.
43. 0 < -8b ≥ -6.3
0-8 < -8b-8 ≥ -6.3-8
0 > b ≤ .7875

45. 5m < -10 or 3m > 9
5m5 < -105 or 3m3 > 93
m < 2 or m > 9

47. 9.1 > 1.4p ≥ -6.3
9.11.4 > 1.4p1.4 ≥ -6.31.4
6.5 > p ≥ -4.5
Solve each equation or inequality. If there is no solution, write no solution. 49. |y| = 3
y = 3, -3
51. 4 + |r + 2| = 7
r = 1, -5
53. |5x| ≤ 15
No solution.
55. |2x – 7| - 1 > 0
No solution.

57. The ideal length of a certain nail is 20mm. The actual length can vary from the ideal by at most 0.4mm. Find the range of acceptable lengths of the nail.
a =...
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