Linear Equations Word Problems

Evan is going to the 50th state fair this weekend. It costs $10 to enter and each ride is $2. Create a linear function that could be used to determine how many "x" rides Evan can go on.

What does the variable "y" represent?

• the number of rides he goes on

• the total cost of going to the fair

Answer explanation

The variable 'y' represents the total cost of going to the fair, which includes the entrance fee and the cost of each ride.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

• .50x + 20 = 35
• .50x = 35
• .50 + 20x = 35 
• .50x - 20 = 35

Tags

CCSS.HSA.CED.A.3

Ellie is on a diet to lose some weight. He is losing weight at a rate of 2 pounds per week. After 7 weeks, her weighs 150 pounds. Write and solve a linear equation to find how many weeks it will take Ellie to reach her target weight of 110 pounds.

• 13 weeks

• 22 weeks

• 25 weeks

• 30 weeks

Tags

CCSS.7.EE.B.4A

The rent for a 1000 square foot apartment is $1175. For a 1350 square foot apartment, the rent is $1437.50. What is the monthly rent for a 1500 square foot apartment?

• $1475

• $1501

• $1550

• $1725

Tags

CCSS.8.EE.C.7B

Marsha ordered 300 tennis balls and paid $150. She ordered 700 tennis balls a few months later and paid $400. What is the cost to order 1000 tennis balls?

• $550

• $400

• $625

• $587.50

Tags

CCSS.8.EE.C.7B

You plan to go snow skiing this weekend in NC. The resort charges $25 deposit to rent skis and $8.50/hour to ski. What is the total cost to rent the skis from 9:30 a.m. until 2:30 p.m.

• $26.25

• $67.50

• $84.50

• $130.00

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage.  If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

• C = 0.20x + 15
• C =15 (0.20x)
• C = 15 + x + 0.20
• C = 0.20 + 15x

Tags

CCSS.6.EE.C.9

Julie's coin purse has all nickels and quarters. The total value of the money in her coin purse is $22.50. If Julie has 72 quarters, how many nickels does she have?

• 45

• 60

• 75

• 90

Tags

CCSS.6.EE.B.7

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

• 7x + 35 = 63
• 7x = 63
• 7x - 35 = 63
• 35x + 7 = 63

Tags

CCSS.HSA.CED.A.3

As the Eagle Club treasurer, you prepare the budget for a canoe/kayak trip. Each canoe costs $40 to rent and each kayak costs $30 to rent. You have $2,200 to spend. How many kayaks can you rent if you rent 14 canoes?

• 40

• 42

• 54

• 55

Tags

CCSS.7.EE.B.4A