Unit 5 Systems Review

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)
• (5, 1)
• (0.25, 2)
• ∅

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. Giving 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

Tags

CCSS.8.EE.C.8C

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount? 

• y = 9.65 + x
  y = 8.40 + x
• y = 9.65x + 43
  y = 8.40x + 58
• y =9.65x
  y = 8.40x
• y = 9.65x - 43
  y = 8.40x - 58

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)
• (-2,-5)
• (2,-5)
• (2,5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Find the x-intercept & y-intercept:

3x + 2y = 18

• x-intercept: 9

  y-intercept: 6

• x-intercept: 6

  y-intercept: 9

• x-intercept: 5

  y-intercept: 6

Find the x-intercept & y-intercept:

4x + 5y = 30

• x-intercept: 7.5

  y-intercept: 6

• x-intercept: 6

  y-intercept: 7.5

• x-intercept: 25

  y-intercept: 22

Find the x-intercept & y-intercept:

2x + 7y = 28

• x-intercept: 3.5

  y-intercept: 4

• x-intercept: 4

  y-intercept: 3.5

• x-intercept: 14

  y-intercept: 4

Find the x-intercept & y-intercept:

8x + 5y = 40

• x-intercept: 3.5

  y-intercept: 4

• x-intercept: 8

  y-intercept: 5

• x-intercept: 5

  y-intercept: 8

Find the x-intercept & y-intercept:

5x + 3y = 27

• x-intercept: 1.5

  y-intercept: 9

• x-intercept: 9

  y-intercept: 5.4

• x-intercept: 5.4

  y-intercept: 9

AMC theater charges $14 for teens and $22 for adults. They need to make at least $2156 each night to make a profit.

Which inequality models this scenario?