System of Equation Substitution with word problems

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount? 

• y = 6.80 + .65x
  y=7.30+.90x
• x + y = 6.80
  x + y = 7.30
• y = 6.80+.90x
  y = 7.30 + .65x
• y + .90x = 6.80
  y + .65x = 7.30

Tags

CCSS.8.EE.C.8C

At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?

• t + n = 54
  t = 3n + 8
• t + n = 54
  n = 3t + 8
• t + n = 54
  t = 3n - 8
• t + n = 8
  t = 3n + 54

Tags

CCSS.HSA.CED.A.3

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.11

CCSS.HSA.SSE.A.1

Solve the system of equations by substitution.

y = -4x + 5

y = 3x - 16

• x = -3

• x = 3

• x = 11

• x = 21

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve:

y = 4x - 10

y = 3x - 5

• Y = -15

• Y = -5

• Y = 10

• Y = 2

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to this system?

y = 2x + 1

y = 4x - 1

• y = 3

• y = -3

• y = 0

• y = 1

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to the system of equations?

y = 3x - 8

y = 4 - x

• (3,1)

• (1,3)

• (-3,1)

• (3,-1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

John was 20 feet away and was running 5 feet per minute. Alex was 50 feet away and was 3 feet per minute. Write a system of two equations for this situation?

• y = 5x + 20

  y = 3x + 50

• y = 20x + 5

  y = 50x + 3

• y = 5x + 50

  y = 2x + 20

• y = 50x + 5

  y = 20x + 3

Tags

CCSS.HSA.CED.A.3

The Really Awesome Skating Rink was $5 to get in and $3 per hour. The Not As Awesome Skating Rink was $10 at the door and was $6 per hour. Write an equation for this situation.

• y = 3x + 5

  y = 6x + 10

• y = 5x + 3

  y = 10x + 6

• y = 3x + 10

  y = 6x + 5

• y = 5x + 6

  y = 10x + 3

Tags

CCSS.8.EE.C.8C

The little bunny ate 20 carrots and he could eat another 5 carrots a day. The big bunny had already eaten 60 carrots and he could eat 25 more carrots a day. Write a system of equations for this situation.

• y = 5x + 20

  y = 25x + 60

• y = 20x + 5

  y = 60x + 25

• y = 60x + 5

  y = 20x + 25

• y = 5x + 60

  y = 25x + 20

Tags

CCSS.8.EE.C.8C