Systems of Equations—Solve using any method Name______

Assignment Date______Period____

Solve each system of equations using any method.

1.  y = 2x -2 2. y = -3x + 7 3. y = 6x + 18

y = -2x + 6 y = 2x – 18 y = 12x

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Define a variable, write two equations and solve using any method you choose.

4.  You and your cousin go to Wendy’s for a “big” lunch. You buy 3 burgers and 2 orders of fries for $6.50. You cousin buys 2 burgers and 5 orders of fries for $8.00. How much did each item cost?

5.  Jeramie has a jar of nickels and dimes. There are 200 coins worth $14.00. How many of each type of coin are in the jar?

6.  The perimeter of a rectangular garden is 96 m. The length of the garden is 8 more than the width. Find the length and width of the garden.

7.  You are considering changing cell phone plans and are considering two different companies. PT&T Phone Company charges a $20 deposit and 25 cents per minute. Horizon Phone Company charges $10 deposit and 35 cents per minutes. How many minutes must be used for the companies to charge the same amount?

8.  During the holidays, your family buys boxes of candy canes and chocolate covered cherries. You bought 25 boxes of candy and spent $28.00. If the cherries cost $1.00 a box and the candy canes cost $1.30, how many of each type of candy did you buy?

9.  The sum of two numbers is 8. One number is 3 more than 4 times the other. What are the two numbers?

10.  A parking meter contains 5 times as many nickels as dimes. The meter contains $2.10 total. How many of each type of coin does the meter contain?