Systems of Equations Solutions

What is the solution to this system of linear equations?

• There are infinitely many solutions.

• The only solution is (0, 4)

• The only solution is (0, 0)

• There is no solution.

Tags

CCSS.8.EE.C.8B

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Solve the system:
x + y = 21
6x + 4y = 104

• (10, 11)

• (12, 9)

• (11, 10)

• (9, 12)

Tags

CCSS.8.EE.C.8C

The graphs of two linear equations are shown. What is the best estimate of the solution to the system of equations?

• (0, 2)

• (2, 0)

• (2, -2)

• (-2, -2)

• (-2, 2)

Tags

CCSS.8.EE.C.8B

If a system of equations has no solution, what does the graph look like?

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

Tags

CCSS.8.EE.C.8A

What is the solution to the system of equations?

• (-2, -1)

• (-2, -11)

• (2, 1)

• (-22, -71)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

• A

• B

• C

• D

Tags

CCSS.HSA.REI.C.9

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

What is the solution to the systems of equations shown in the graph?

• (1,3)

• no solution

• infinite solutions

• (3,-1)

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

• A

• B

• C

• D

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6