Download Chapter 1 Review

Advanced Algebra
Name _________________________
Chapter 1 Test Review
Identify the property shown
1. 3 · x = x · 3
2. 2(r + w) = 2r + 2w
4. 15x(1) = 15x
3. 3a + 0 = 3a
5. 2r + (3r + 4r) = (2r + 3r) + 4r
Name the sets of numbers to which each number belongs.
6. 34
7. -525
Unit Analysis
 $9  8hours  5days 
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10. 

=
 1hour  1day  1week 
8. .875
9.
30
11. Change 672 feet per second to miles per hour.
Evaluate the each expression. (PEMDAS)
12. 14 + (6 ÷ 2)
13. [18 – (6 + 4)] ÷ 2
14. 8(4² ÷ 8 – 32)
15.
6  9  3  15
82
Evaluate each expressions when a = 8, b = -3, c = 4 and d = - ½.
16. 5(6c – 8b + 10d)
17. (b – c)² + 4a
18. d(a + c)
19. b – c + 4 ÷ d
Simplify each expression.
20. 8(3a – b) + 4(2b – a)
21. 4(10g + 80h) – 20(10h – 5g)
22. 40s + 18t – 5t + 11s
23. 50(3a – b) -20(b – 2a)
Solve each Equation. Check your solution.
24. 4m + 2 = 18
25. -3b + 10 = -15 + 2b
26.
3
2 5
x 
4
3 6
Solve each equation or formula for the specified variable.
27. I = prt, for p
28. A = 2πr² + 2πrh, for h
29. The formula for the area of a circle is A = πr². The formula for the circumference of a circle is C=2πr. Write
a formula for the area of a circle in terms of its circumference.
Solve the inequality then graph the solution set on a number line.
30. -3a + 7 ≤ 16
0
31.
4(5x + 7) < 13
0
32. –x + 6 > 5x - 12
0
Solve the compound inequality. Graph its solution.
33. 2x + 5 < 7 or 3x – 9 > 12 + 2x
0
34. -7 < 6x -1 < 11
0
Evaluate each expression if w = -4, x = 2, y = ½ , and z = -6.
35. | 2x – 8 |
36. | 6 + z | - | -7 |
37. | wz | - | xy |
38. 12 - | 10x – 10y |
Solve each equation. Check your solutions.
39. | x + 15 | = 37
40. | t – 4 | - 5 = 0
41. | 2x – 1 | + 3 = 9
42. | 16 – 3x | = 4x – 12
Solve the inequality.
43. | x + 1 | < 8
44. | 3x + 3 | > 9
45. | 2x - 5 | ≤ 5