Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Solve each equation. Check your answer.

10. 7 − y − y = − 1 7 minus y minus y equals negative 1
11. 72 + 4 − 14 d = 36 72 plus 4 minus 14 d equals 36
12. 13 = 5 + 3 b − 13 13 equals 5 plus 3 b minus 13
13. 6 p − 2 − 3 p = 16 6 p minus 2 minus 3 p equals 16
14. x + 2 + x = 22
15. b − 9 + 6 b = 30 b minus 9 plus 6 b equals 30
16. 9 t − 6 − 6 t = 6 9 t minus 6 minus 6 t equals 6
17. 17 = p − 3 − 3 p 17 equals p minus 3 minus 3 p
18. − 23 = − 2 a − 10 + a negative 23 equals negative 2 eh minus 10 plus eh

See Problem 2.

Write an equation to model each situation. Then solve the equation.

19. Employment You have a part-time job. You work for 3 h on Friday and 6 h on Saturday. You also receive an allowance of $20 per week. You earn $92 per week. How much do you earn per hour at your part-time job?
20. Travel A family buys airline tickets online. Each ticket costs $167. The family buys travel insurance with each ticket that costs $19 per ticket. The Web site charges a fee of $16 for the entire purchase. The family is charged a total of $1132. How many tickets did the family buy?

See Problem 3.

Solve each equation. Check your answer.

21. 64 = 8(r + 2)
22. 5 ( 2 x − 3 ) = 15 5 open 2 x minus 3 close equals 15
23. 5(2 + 4z) = 85
24. 2(8 + 4c) = 32
25. 7 ( f − 1 ) = 45 7 open f minus 1 close equals 45
26. 15 = − 2 ( 2 t − 1 ) 15 equals negative 2 open 2 t minus 1 close
27. 26 = 6 ( 5 − 4 f ) 26 equals 6 open 5 minus 4 f close
28. n + 5 ( n − 1 ) = 7 n plus 5 open n minus 1 close equals 7
29. − 4 ( r + 6 ) = − 63 negative 4 open r plus 6 close equals negative 63

See Problem 4.

Solve each equation. Choose the method you prefer to use. Check your answer.

30. b 13 − 3 b 13 = 8 13 b over 13 , minus , fraction 3 b , over 13 end fraction , equals , 8 thirteenths
31. 5 y − 3 5 = 4 5 5 y minus , 3 fifths , equals , 4 fifths
32. n 5 − 3 n 10 = 1 5 n over 5 , minus , fraction 3 n , over 10 end fraction , equals , 1 fifth
33. 2 3 + 3 m 5 = 31 15 2 thirds , plus , fraction 3 m , over 5 end fraction , equals , 31 over 15
34. n 2 − 2 n 16 = 3 8 n over 2 , minus , fraction 2 n , over 16 end fraction , equals , 3 eighths
35. b 3 + 1 8 = 19 b over 3 , plus , 1 eighth , equals 19
36. 1 4 + 4 x 5 = 11 20 1 fourth , plus , fraction 4 x , over 5 end fraction , equals , 11 over 20
37. 11 z 16 + 7 z 8 = 5 16 fraction 11 z , over 16 end fraction . plus , fraction 7 z , over 8 end fraction , equals , 5 sixteenths
38. x 3 − 7 x 12 = 2 3 x over 3 , minus , fraction 7 x , over 12 end fraction , equals , 2 thirds

See Problem 5.

Solve each equation. Check your answer.

39. 1.06 g − 3 = 0.71 1.06 , g minus 3 equals , 0.71
40. 0.11k + 1.5 = 2.49
41. 1.025v + 2.458 = 7.583
42. 1.12 + 1.25g = 8.62
43. 25.24 = 5g + 3.89
44. 0.25n + 0.1n = 9.8

B Apply

Solve each equation.

45. 6 + v − 8 = 4 7 6 plus , v over negative 8 , equals , 4 sevenths
46. 2 3 ( c − 18 ) = 7 2 thirds , open c minus 18 close equals 7
47. 3 d + d − 7 = 25 4 3 d plus d minus 7 equals , 25 over 4
48. 0.25 ( d − 12 ) = 4 0.25 , open d minus 12 close equals 4
49. 8 n − ( 2 n − 3 ) = 12 8 n minus open 2 n minus 3 close equals 12
50. 2 3 + n + 6 = 3 4 2 thirds , plus n plus 6 equals , 3 fourths
51. 0.5 d − 3 d + 5 = 0 0.5 d minus 3 d plus 5 equals 0
52. − ( w + 5 ) = − 14 negative open w plus 5 close equals negative 14
53. a 20 + 4 15 = 9 15 eh over 20 , plus , 4 fifteenths , equals , 9 fifteenths

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