# Algebra 1 Common Core Student Edition, Grade 8-9

(Marvins-Underground-K-12) #1

Pr act i ce an d Pr o b l em - So l v i n g Ex er ci ses (^ pr actTces

``Practice Solve each equation. Check your answer. ^ See Problem 1.``

1. 7 - y - y = — 1 11. 72 + 4-14d=36 12. 13 = 5 + 3b -^13

2. 6 p - 2 - 3p = 16 14. x + 2 + x = 22 15. b - 9 + 6 b = 30

3. 9f- 6 - 6 f = 6 17. 17 = p - 3 - 3 p 18. -23 = -2a - 10 + a

``Write an equation to model each situation. Then solve the equation. See Problem 2.``

1. Employment You have a p art-tim e job. You w ork for 3 h o n Friday an d 6 h on
Saturday. You also receive a n allow ance of \$20 p er week. You ea rn \$92 p e r week.
How m u ch do you ea rn p er h o u r at your part-tim e job?

2. Travel A family buys airline tickets online. Each ticket costs \$167. The family buys
travel in su ran ce w ith each ticket th a t costs \$19 p er ticket. The Web site charges a
fee of \$16 for the entire purchase. The family is charged a total of \$1132. How m any
tickets did th e family buy?

``Solve each equation. Check your answer. See Problem 3.``

1. 64 = 8 ( r + 2) 22. 5(2x - 3) = 15 23. 5(2 + 4z) = 85

2. 2(8 + 4c) = 32 25. 7(/-l)=45 26. 15 = - 2 ( 2 1 - 1)

``27.26 = 6 (5 -4f) 2 8. n + 5{n - 1) = 7 29. - 4 ( r + 6 ) = - 6 3``

``````Solve each equation. Choose the method you prefer to use. Check your answer. See Problem 4.
4 ->■} n 3 n 1
5 3Z“ 5 10 5``````

``3 3 5.1 + 1=19``

``30.13 'b^3 13 b^138 31.5y-^35``

``33.1 +^3 5 m^3115 34.n 2 2 16 “n^``

``36.1+4x 5 1120 37.llz 16 + Z2 8``

``````8 3 8
_ _5_ -so x _T x = 2
16 3 12 “ 3``````

``Solve each equation. Check your answer. See Problem 5.``

1. 1.06g - 3 = 0.71 40. 0.11b + 1.5 = 2.49

2. 1.025v + 2.458 = 7.583 42. 1.12 + 1.25g = 8.62

3. 25.24 = 5g + 3.89 44. 0.25n + 0.1 n = 9.8

``Apply Solve each equation.``

1. 6 + ^ = | 46. |(c — 18) = 7 47. 3d+d-7 = ^

2. 0.25(d- 12) =4 49. 8n - (2n - 3) = 12 50. | + n + 6 = |
51. 0 .5 d - 3 d + 5 = 0 52. -{w + 5) = - 1 4 S3- ^ + l5 = h

98 Ch ap t er 2 So lvin g Eq u at i o n s