3.1 Review Worksheet
3.1.1 Using Graphs and Tables to Solve Linear Systems Use substitution to determine if the given ordered pair is an element of the solution set for the system of equations. 1. ( − 2, 2) + = − = x y y x ( 2, 2) 0 7 14 42 2. ( − 3, − 5) − − − = = + y x y x ( 3, 5) 2 6 8 4 8 4 3. (3, 2) = + = y y x (3, 2) 2 8 6 4. (6, 1) = + − = y x x y (6,1) 8 2 3 3
Use a graph and a table to solve each system. Check your answer. 5. y x 6. 7. + =− x y
8.
− = − = y x x y 4 2 4 10 5 10
= − x y 10 3 3 0 − = y x
x y 2
− = x y 12 4 4 2 6
+ = + =
4
Classify each system and determine the number of solutions. 9. − = − + = x y y x 24 27 42 9 8 14 10. + = x y 3 2 9 4 6 36 11. + = − = y x x y 7 42 56 25 5 100 − = y x
12.
= − + = y x x y 3 2
4 6 3
13. Jamail and Wanda sell home theater systems. Jamail earns a base salary of $2400 per month, plus $100 for each system he sells. Wanda earns a base salary of $2200 per month, plus $120 for each system she sells. How many systems do Jamail and Wanda have to sell before they earn the same amount of money?
3.1.2 Using Algebraic Methods to Solve Linear Systems Use substitution to solve each system of equations. 14. − = + =− y x x y 4 2 6 3 15. + = − =− x y x y 12 21 18 3 36 16. = + = y x x y 4 32 21 29
17.
y
x x y 1 2 3 2
+ = − + =
176
Made with FlippingBook flipbook maker