For Problems 1 - 5, translate the sentence to an algebraic expression.
1. Six decreased by 2 times a number x. A. 2x - 6 B. 6 - 2x C. (6 - 2)x D. 2x + 6 E. NH
2. Five times the sum of a number y and four. A. 5y + 4 B. 4(y + 5) C. 5(y + 4) D. 5(y - 4) E. NH
3. Twelve more than seven times a number g. A. 7g + 12 B. 7(g + 12) C. 12g + 7 D. 12(7 - g) E. NH
4. Six more than the number q is 29. A. q + 29 = 6 B. 6q = 29 C. 29 - q = 6 D. q + 6 = 29 E. NH
5. 45 less than 18 times a number s 63. A. (45 - 18)s = 63 B. 63 - 18s = 45 C. 18s - 45 = 63 D. 45 - 18s = 63 E. NH
For Problems 6 and 7, translate the algebraic expression to a sentence.
6. 9x + 2 = 20
A. Two more than nine times a number is twenty. B. Nine times x and two is twenty. C. Nine more than two times a number x is twenty. D. Nine and two is twenty times x. E. NH
7.34(r - 22) = 68
A. Twenty-two less than r times thirty-four is sixty-eight. B. Thirty-four times r plus twenty-two is sixty-eight. C. Thirty-four times the quantity twenty-two less than r is sixty-eight. D. Sixty-eight more than r times twenty-two is thirty-four. E. NH
8. Ashley had six more dollars than Alex. Together they had $24. How much money did Ashley have?
A. $18 B. $9 C. $15 D. $6 E. NH
9. Solve for x: x + 8 = 10
A. 2 B. 8 C. 4 D. 0 E. NH
10. Solve for m: m - 3 = 11
A. 8 B. 5 C. 14 D. 3 E. NH
11. Solve for p: 5p = 135
A. 27 B. 45 C. 130 D. 26 E. NH
12. Solve for d: 1/6d = 1
A. 1 B. 3 C. 16 D. 6 E. NH
13. Solve for b: 35 + b = 42
A. 39 B. 7 C. 77 D. 8 E. NH
14. Solve for w: 17w - 2 = 32
A. 2 B. 3 C. 1 D. 7 E. NH
15. Mr. B score twice as many points as did Mr. K in yesterday's game. Together they scored a total of 27 points. How many points did Mr. K score?
A. 9 B. 27 C. 3 D. 18 E. NH
16. Taylor worked seven more hours than Jenny. They worked a total of thirty-seven hours. How many hours did Taylor work?
A. 30 B. 15 C. 22 D. 44 E. NH
17. Solve for x: 9x = -54
A. 5 B. 7 C. 6 D. -6 E. NH
18. Solve for z: 3/5z = 9
A. 3 B. 9 C. 5 D. 15 E. NH
19. Jonny read 3 fewer books than Katie last year. Jonny and Katie read a total of 17 books. How many books did each read?
A. Jonny read 17, Katie read 0 B. Jonny read 10, Katie read 7 C. Jonny read 7, Katie read 10 D. Jonny read 3, Katie read 14 E. NH
20. 42 - m = 21
A. 21 B. 7 C. 12 D. 2 E. NH
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