System of Equations Break Even

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

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.8.EE.C.8C

At a local concert hall, the owner charges $7 per ticket. The owner must pay his band $1200. Every customer receives a brochure that costs the owner $2 for each person.

What system would determine when he breaks even?

• y = 7x

  y = 2x + 1200

• y = 2x

  y = 7x + 1200

• y = 9x + 1200

• y = -2x - 1200

  y = 7x

Tags

CCSS.8.EE.C.8C

Two linear equations with the same set of variables

• system of equations

• function

• association

• correlation

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $68 for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

• 4y = 3x + 64

  8y = x + 68

• 4y = 3x + 64

  8y = x + 60

• 3x + 4y = 64

  x + 8y = 68

• 3x + 4y = 64

  x + 8y = 60

Tags

CCSS.HSA.CED.A.3

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

• 4y = 3x + 64

  8y = x + 68

• 4y = 3x + 64

  8y = x + 60

• 3x + 4y = 64

  x + 8y = 68

• 3x + 4y = 64

  x + 8y = 60

Tags

CCSS.HSA.CED.A.3

Which system represents this situations

• 
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• 
• 

Tags

CCSS.HSA.CED.A.3

Solve this system.

No spaces!

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Nicholas is shopping for 7 gifts. He can buy 4 audio books (all audio books are the same price) and 3 DVDs (all DVDs are the same price) for $97, or he can buy 3 audio books and 4 DVDs for $99. Solve the system using the linear combinations method and interpret the solution.

• The cost of an audio book is $13 and the cost of a DVD is $15.

• Nicholas can buy 13 audio books and 15 DVDs.

• The cost of an audio book is $15 and the cost of a DVD is $13.

• Nicholas can buy 15 audio books and 13 DVDs.

Tags

CCSS.8.EE.C.8C

Type your equations into desmos, find your solution, then draw them on this graph.

Write your break-even point in the box.

Answer explanation

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Tags

CCSS.8.EE.C.8B