Systems Quick Check

Merry Mistletoe sells Christmas lights and ornaments. A customer purchased 3 strands of Christmas lights and 6 ornaments and paid $33. Another customer paid $3 more than the first customer for 2 strands of Christmas lights and 8 ornaments. The price of each strand of Christmas lights is the same, and the price of each ornament is the same. Which system of equations can be used to find the price in dollars of each strand of Christmas lights, x, and each ornament, y?

• 3x + 6y = 33

  2x + 8y = 33

• 6x + 3y = 33

  8x + 2y = 36

• 3x + 6y = 33

  2x + 8y = 30

• 3x + 6y = 33

  2x + 8y = 36

Tags

CCSS.8.EE.C.8C

Trey graphed a system of inequalities on the graph shown below. Which of the following statements is NOT true?

• One of the inequalities represented is y < (1/3)x - 4.

• One of the inequalities represented is y ≥ -(4/3)x - 4.

• The coordinate (3, -3) is in the solution set.

• The coordinate (10, -2) is in the solution set.

Tags

CCSS.HSA.REI.D.12

Which of the following is true about the solution to the system of equations?

3x - 2y = 10

2y = 3x - 16

• The y-value of the solution is -1.5.

• There are infinitely many solutions to this system.

• There is no solution to this system.

Tags

CCSS.8.EE.C.8B

What is the x-value of the solution to the system of equations shown below?

5x - 2y = -17

4x + 4y = 10

• 4

• -5.5

• -1.5

• -0.7

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which graph represents the system of equations and its solutions?

5x +4y = 20

x - 2y = 4

• 
• 
• 
• 

Tags

CCSS.8.EE.C.8B

Which of the following systems of equations has no solution?

• y = 4x - 2

  y = -4x + 2

• y = -3x + 1

  y = 3x + 1

• y = -x + 4

  y = x + 4

• y = 2x + 3

  y = 2x - 5

Tags

CCSS.8.EE.C.8B

Graph the 2nd equation to find the solution to the system of equations.

y = 6x − 11

−2x − 3y = −7

Tags

CCSS.8.EE.C.8B

^{Which point is a solution to the system of inequalities?}

• (-8,2)

• (-2,-5)

• (0,6)

• (4, 3)

Tags

CCSS.HSA.REI.D.12

Which system of inequalities matches the graph?

• y > 2x - 4
  y < 2
• y < 2x - 4
  y < 2
• y > 2x - 4
  y <  2 
• y < 2x - 4
  y <   -2

Tags

CCSS.HSA.REI.D.12

Match the following