System- Word Problems (Slope Intercept Form)

Customers can pay $47 to rent a compact car for the first day plus $2 for each additional day, OR they can rent the same car for $21 the first day and $15 for every additional day beyond that. Write a system of equations.

• y = 47x + 2

  y = 15x + 21

• y = 2x + 47

  y = 21x + 47

• y = 2x + 47

  y = 15x + 21

Tags

CCSS.8.EE.C.8C

• (2,51)

  For 2 days, Alma would pay $51 either way.

• (3,35)

  For 3 days, Alma would pay $53 either way.

• (5,57)

  For 5 days, Alma would pay $57 either way.

Tags

CCSS.8.EE.C.8C

Jeffrey plans to attend the Richmond County Fair and is trying to decide what would be a better deal. He can pay $40 for unlimited rides, OR he can pay $12 for admission plus $2 per ride. Write a system of equations.

• y = 40x

  y = 2x + 12

• y = 40

  y = 2x + 12

• y = 40

  y = 12x + 2

Tags

CCSS.8.EE.C.8C

• (14, 40)

  It will cost Jeffrey $40 for both parks if he goes on 14 rides.

• (18, 40)

  It will cost Jeffrey $40 for both parks if he goes on 18 rides.

• (12, 12)

  It will cost Jeffrey $12 for both parks if he goes on 12 rides.

Tags

CCSS.8.EE.C.8C

The volleyball team and the wrestling team are having a joint car wash. The volleyball team gets $5 per car. In addition, they have already brought in $36 from past fundraisers. The wrestling team has raised $101 in the past, and they are making $4 per car today. Write a system of equations.

• y = 5x + 101

  y = 4x + 36

• y = 4x + 101

  y = 36x + 5

• y = 5x + 36

  y = 4x + 101

Tags

CCSS.HSA.CED.A.3

• (60, 276)

  After washing 60 cars, both teams will have raised a total of $276.

• (65, 361)

  After washing 65 cars, both teams will have raised a total of $361.

• (70, 451)

  After washing 70 cars, both teams will have raised a total of $451.

Tags

CCSS.8.EE.C.8C

Joseph is going to send some flowers to his wife. Burlington Florist charges $3 per rose plus $25 for the vase. Reid's Flowers, in contrast, charges $1 per rose and $35 for the vase. Write a system of equations to represent the situation.

• y = 3x + 25

  y = x + 35

• y = 25x + 3

  y = x + 35

• y = 25x + 3

  y = 35x + 1

Tags

CCSS.8.EE.C.8C

• (6,42)

  For 6 flowers , both florist will charge $42.

• (8,48)

  For 8 flowers , both florist will charge $48.

• (5,40)

  For 5 flowers , both florist will charge $40.

Tags

CCSS.8.EE.C.8C

Kwan and Ted are racing to see who can get his community service hours for scouting completed first. Kwan, who has already completed 30 hours, plans to volunteer for 4 hours per week going forward. Ted hasn't started yet, but plans to dedicate 6 hours per week to his volunteer project from now on.

• y = 30x + 4

  y = 6x

• y = 30x

  y = 4x + 6

• y = 4x+30

  y = 6x

Tags

CCSS.8.EE.C.8C

• (20, 100)

  After 20 weeks, both of them will have 100 hours of community service completed.

• (15, 90)

  After 15 weeks, both of them will have 90 hours of community service completed.

• (12, 85)

  After 12 weeks, both of them will have 85 hours of community service completed.

Tags

CCSS.8.EE.C.8C