# 6 Algebra Problems: Word Problems, Systems of Equations and Inequalities

Please see the attached file for the fully formatted problems.

10. Amy paid $94.58 for a pair of running shoes during a 30%-off sale. What was the regular price?____

17. Solve by the elimination method.

3r-5s=-24

5r+3s=62

What is the solution of the system?__

(Type an ordered pair. Type an integer or a fraction. Type N if there is no solution Type I if there are infinity many solutions.)

20. Solve

0.7x+9< 1.5x-2

The solutions is {x|x < __}

(Simplify your answer. Type an inequality symbol; then type an integer or a decimal)

21. Solve by the substitution method

6x+5y = -19

x = -1-3y

What is the solution of the system?___

(Type an ordered pair. Type N if there is no solution)

23. Soybean meal is 12% protein: cornmeal is 6% protein. How many pound of each should be mixed together in order to get 240-lb mixture that is 7% protein?

How many pounds of the cornmeal should be in the mixture?

___ pounds

How many pounds of the soybean meal should be in the mixture?

___ pounds

43. Solve

5/8x + 1/16x = 7/16 + x

The solution is x = ___

(Simplify your answer. Type an integer or a fraction)

45. Solve by elimination method

3x+4y=2

6x+8y=4

What is the solution of the system? ___

(Type an ordered pair. Type an integer or a fraction. Type N if there is no solution. Type I if there are infinitely many solutions.)

54. Solve

-0.3x<-9 {x|__}

The solution is {x|_>10_}

(Type an inequality)

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