Systems Of Equations And Inequalities Review Worksheet Page 2

11. The sum of two numbers is 82. Their difference is 24. Write a system of equations that describes this

situation. Solve by elimination to find the two numbers.

Solve the system using elimination.

12. 3x + y = 11

4x – y = 17

13. x + 2y = –6

3x + 8y = –20

14. 5x = –25 + 5y

10y = 42 + 2x

15. Mrs. Huang operates a soybean farm. She buys many supplies in bulk. Often the bulk products need to

be custom mixed before Mrs. Huang can use them. To apply herbicide to a large field she must mix a

solution of 67% herbicide with a solution of 46% herbicide to form 42 liters of a 55% solution. How

much of the 67% solution must she use?

16. A motorboat can go 8 miles downstream on a river in 20 minutes. It takes 30 minutes for the boat to go

upstream the same 8 miles. Find the speed of the current.

Graph the inequality.

17.

18.

19. Write the following inequality in slope-intercept form.

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