Systems Test

Name _______________________________________________ Date ________________________________________________ System of Equations Unit Test Use the Graphing Method to solve the following Systems. Label your lines and show all work. 1. -4x + 2y = 6 y + 3 = -x

2.

y = -3x + 5 3y - 2x = 8

Use the Substitution Method to solve the following Systems. 3. 3x – 4y = 19 4. 5x + 2y = 26 y = -x + 4 x–y=1

Use the Addition/ Elimination Method to solve the following Systems. 5. x + y = 4 6. 5x = 2y + 8 3x – 2y = 2 3x + 4y = 10

Choose your own method to solve the following systems. Show all work. If you choose graphing, please use your graphing paper. 7. 3x + 2y = 7 8. 2y + 4x = -4 x – 2y = 1 x=y+2

9. x + y = 7 x = 3 - 5y

10. x + y = -3 x – y = -2

Choose one of the methods to solve the word problems below. If you choose the Graphing Method, please use graphing paper and label your lines. Please make sure to specify what you variables represent. Show all work. 11. The width of a rectangle is 5 inches less then double the length. The perimeter of the rectangle is 70 inches. What is the length and the width?

12. James is 4 times as old as Clyde. Twelve years from now, James will be twice as old as Clyde will be. How old is each?

Extra Credit: A pilot flew a distance of 960 mi in 8 hours against the wind. On the return trip, she made the flight in 6 hours with the same wind behind her. What was the rate of the plane in still air?