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

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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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