Grade 8 Solving Systems of Linear Equations

Looking at the graphs below, which graph has a solution of (0,4)?

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Tags

CCSS.8.EE.C.8A

Model the following systems of equations:

y = 2x + 4

y = 2x + 1

The diagram above shows the graphs of these equations. Which statement best describes the system?

• The system is inconsistent and has no solution.

• The system is consistent and has no solution.

• The system is inconsistent and has one solution.

• The system is consistent and has infinitely many solutions.

Tags

CCSS.8.EE.C.8B

In which system are the lines parallel?

• 2x - y = 3

  x + 2y = 3

• 2x + 3y = 5

  6x + 9y = 1

• x - y = 10

  x + y = 10

• 3x - y = 1

  4x + y = 2

Tags

CCSS.8.EE.C.8B

Which system of equations best describes the lines in the graph?

Tags

CCSS.8.EE.C.8B

Avery was selling concessions at the basketball game. She is selling pizza by the slice for $3.50 and sports drinks for $2.00. She sold a total of 96 slices of pizza and sports drinks combined. Avery made a total of $300. If x represents a slice of pizza and y represents a sports drink, which system of equations best describes this situation?

• 2x + 3.5y = 300

  x + y = 96

• 3.5x + 2y = 300

  x + y = 96

• 2x + 3.5y = 96

  x + y = 300

• 3.5x + 2y = 96

  x + y = 300

Tags

CCSS.HSA.CED.A.3

Avery was selling concessions at the basketball game. She is selling pizza by the slice for $3.50 and sports drinks for $2.00. She sold a total of 96 slices of pizza and sports drinks combined. Avery made a total of $300. If x represents a slice of pizza and y represents a sports drink, how many slices of pizza and sports drinks did she sell?

• 55 slices of pizza

  41 sports drinks

• 41 slices of pizza

  55 sports drinks

• 72 slices of pizza

  24 sports drinks

• 24 slices of pizza

  72 sports drinks

Tags

CCSS.8.EE.C.8C

How long can someone skate at both places and the price is the same?

• 0.25 hours

• 2.5 hours

• 4 hours

• 10 hours

The farmers market sells strawberries and pineapples in a fruit basket. If s represents strawberries and p represents pineapples, which system of equations represents the cost of each fruit basket?

• 7s + 2p = 28

  3s + 2p = 20

• 7s + 2p = 20

  3s + 2p = 28

• 7s + 3p = 28

  2s + 2p = 20

• 2s + 7p = 28

  2s + 3p = 20

Tags

CCSS.HSA.CED.A.3

The farmers market sells strawberries and pineapples in a fruit basket. What is the cost of each fruit?

• Strawberries: $3 Pineapples: $5

• Strawberries: $5 Pineapples: $3

• Strawberries: $2 Pineapples: $7

• Strawberries: $7

  Pineapples: $2

Tags

CCSS.8.EE.C.8C

Find the line that contains the error when using substitution to solve a system of equations.

• Line 1

• Line 2

• Line 3

• Line 4

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6