Equations from Word Problems

Oscar needed to get his office cleaned before he leaves for vacation. The local cleaning company charges a set fee of $25 plus $15 per hour.

Which function shows the relationship between y, the total amount Oscar will pay, and x, the number of hours it takes to clean his office?

• y=15x+25

• y=15x-25

• y=-25x+15

• y=25x+15

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Angy's mom bought variety boxes of chips for the family reunion. There are 18 bags of chips per box. Before they left for the reunion, Angy took out 4 bags of her favorite chips to save for later.

Which function best models this situation between x, the number of variety boxes bought and y, the total number of bags of chips?

Mathematical Equivalence

ON

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

A university will spend $4,500 to buy monitors and keyboards for a computer lab. Each monitor will cost $250, and each keyboard will cost $50.

 

Which equation represents x, the number of monitors, and y, the number of keyboards, the university can buy for the computer lab?

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Tags

CCSS.HSA.CED.A.3

If chocolate chip cookies cost $3.00 per cookie plus $2 for boxing them up in a decorated box, what would the expression be?

Mathematical Equivalence

ON

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Jenny went to the sale at Kohl's last weekend.  
T-shirts were on sale for $15 each and hoodies were on sale for $20 each.  If she spent $150 total, write an equation to represent this situation.  

Mathematical Equivalence

ON

Tags

CCSS.HSA.CED.A.3

Mathematical Equivalence

ON

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. Which equations could be used to determine when their costs will be equal.

• y = 3x + 15

  y = x + 21

• y = 15x + 3

  y = 21x + 1

• y = 3x + 21

  y = 1x + 15

• y = 3x + 1

  y = 21x + 15

Tags

CCSS.8.EE.C.8C

Three burgers and one hotdog cost $4.82. At the same price, one burger and two hotdogs cost $3.70. Write a system of of equations to figure out how much does a hotdog and burger cost.

• 3b + h = 4.82

  b + 2h = 3.70

• 3b + h = 3.70

  b + 2h = 4.82

• 3h + b = 4.82

  2b + b = 3.70

• 3h + b = 3.70

  2b + b = 4.82

Tags

CCSS.HSA.CED.A.3

The country Buffet restaurant has tables that seat 6 people and booths that seat 4 people. The restaurant has 38 seating spaces to seat a total 188 people. Which equations could be used to find the number of tables, t, and the number of booths, b, that are at the restaurant?

Tags

CCSS.8.EE.C.8C