Writing Systems of Equations From Word Problems Day 1

A large pizza at Palanzio’s Pizzeria (c) costs $6.80 plus $0.90 for each topping.The cost of a large cheese pizza at Guido’s Pizza (c) 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

Tags

CCSS.8.EE.C.8C

Some students want to order shirts with their school logo. One company charges a total of $9.65 per shirt plus a setup fee of $43. Another company charges a total of $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

Tags

CCSS.8.EE.C.8C

Lisa and Tammy are selling items at the craft show.  Which might be a reasonable solution from the graph showing the number of items sold when they both have earned the same amount?

• (1, 12)
• (3, 19)
• (5, 25)
• (0, 10)

Tags

CCSS.8.EE.C.8B

Write two equations that you could use to solve the following problem.
Trey's online music club charges a monthly fee of $20 plus $0.80 per song downloaded. Deb's club charges a monthly fee of $21 plus $0.60 per song. For what number of songs will the monthy charge be the same.

• 20 = .80x
  21 = .60x
• y = 20x - 0.80
  y = 21x - 0.60
• y = .60x + 20
  y = .80x + 21
• y = .80x + 20
  y = .60x + 21

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

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. How many toppings can you get at each Pizzeria so that the price of a large pizza is the same? 

• 3 toppings
• 1 topping
• 2 toppings
• 4 toppings

Tags

CCSS.8.EE.C.8C