Review - Systems of Equations and Cost Analysis

Jeffrey plans to attend the Richmond County Fair.

He can pay $40 for unlimited rides,

or he can pay $12 for admission plus $2 per ride.

Write a system of equations.

• y = 12x

  y = 40 + 2x

• y = 40

  y = 2x + 12

• y = 40x

  y = 2x + 12

• y = 40

  y = 12x + 2

Tags

CCSS.8.EE.C.8C

Kwan and Ted are racing to see who can complete their community service hours first.

Kwan has completed 30 hours and plans to volunteer for 4 hours per week.

Ted hasn't started yet but plans to volunteer 6 hours per week.

Write the equations for their volunteer hours.

• y = 30x

  y = 4x + 6

• y = 4x + 30

  y = 6x

• y = 30x + 4

  y = 6x

• y = 4x + 6

  y = 30x

Tags

CCSS.8.EE.C.8C

Kwan has already completed 30 hours of volunteering and plans to volunteer for 4 hours per week.

Ted plans to dedicate 6 hours per week.

Use the equation created by using substitution to solve the system of equations:

4x + 30 = 6x.

• (10, 70) After 10 weeks, both will have 70 hours.

• (15, 90) After 15 weeks, both will have 90 hours.

• (12, 100) After 12 weeks, both will have 100 hours.

• (15, 85) After 15 weeks, both will have 85 hours.

Tags

CCSS.8.EE.C.8C

Ben and his friends are going to play putt-putt.

At Holey Moley, they pay $2.00 for rentals plus $7.50 per game.

At Golf Golf, it costs $8.00 for rentals plus $6.00 per game.

Write the system of equations?

• y = 6.00x + 2.00

  y = 7.50x + 8.00

• y = 2.00x + 7.50

  y = 8.00x + 6.00

• y = 7.50x + 2.00

  y = 6.00x + 8.00

• y = 7.50x + 8.00

  y = 6.00x + 2.00

Tags

CCSS.8.EE.C.8C

Sarah is deciding between two gyms.

Gym A charges a $50 membership fee plus $10 per visit. Gym B charges no membership fee but $15 per visit. Write a system of equations to represent the cost of each gym.

• y = 50x + 10

  y = 15x

• y = 15x + 50

  y = 10x

• y = 10x

  y = 50 + 15x

• y = 10x + 50

  y = 15x

Tags

CCSS.8.EE.C.8C