Systems of Equations Mixed Review

Solve the following system by graphing.  What is the solution?

• Infinite number of solutions

• (3, 3)

• (3, -3)

• (-3, 3)

Tags

CCSS.8.EE.C.8B

Solve using elimination.
8x+y=-16
-3x+y=-5

• (-1,-8)

• (-8,-1)

• (-1,8)

• (8,-1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. She can give 2 haircuts and 4 hair dyes takes 450 minutes.  Which system of equations represents the situation?

• 3x + 2y = 315
  2x + 4y = 450

• 3x + 2y = 450
  2x + 4y = 315

• 2x + 2y = 315
  3x + 4y = 450

• 4x+2y = 315
  3x + 2y = 450

Tags

CCSS.8.EE.C.8C

Katie and Joan are buying coffee and tea for a party. Two pounds of coffee and 3 pounds of tea costs $19.00. Five pounds of coffee and 6 pounds of tea costs $41.50. 
How much per pound is the price of coffee?

• $3.50

• $4.00

• $7.50

• $24.50

Tags

CCSS.8.EE.C.8C

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

• 4y = 3x + 64

  8y = x + 68

• 4y = 3x + 64

  8y = x + 60

• 3x + 4y = 64

  x + 8y = 68

• 3x + 4y = 64

  x + 8y = 60

Tags

CCSS.8.EE.C.8C

How many solutions to the system?

• One Solution

• No Solution

• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8B

• (3, -2)
• (2, -2)
• (-2, 2)
• (-2, -2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

• 4y = 3x + 64

  8y = x + 68

• 4y = 3x + 64

  8y = x + 60

• 3x + 4y = 64

  x + 8y = 68

• 3x + 4y = 64

  x + 8y = 60

Tags

CCSS.HSA.CED.A.3

Which ordered pair best represents a solution to both equations?

• (2, -2)

• (-2, 2)

• (3, -2)

• (2, -3)

Tags

CCSS.8.EE.C.8B

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $68 for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

• 4y = 3x + 64

  8y = x + 68

• 4y = 3x + 64

  8y = x + 60

• 3x + 4y = 64

  x + 8y = 68

• 3x + 4y = 64

  x + 8y = 60

Tags

CCSS.HSA.CED.A.3