Linear Equations Word Problems

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

• y = 8x + 50

• C = 50m +8

• y = 50x + 8

• C = 8m + 50

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

A T-shirt design company charges your team an initial fee of $25 to create the team's design. Each t-shirt printed with your design costs an additional $8. The equation for this situation is y = 8x + 25. What is the y-intercept in context.

• The additional fee of $8.

• The initial fee of $25.

• The additional fee of $25.

• The initial fee of $8.

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

CCSS.HSS.ID.C.7

Which of the following situations could be descried by the equation y= -25x + 120

• There are 120 people in the football stadium, and 25 more are entering each hour.
• A plumber charges $25 for a house call and $120 per hour.
• A teacher has 120 students. Her third period has 25 students
• There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

Tags

CCSS.HSF.LE.B.5

In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation that models this situation.

• y = 20x + 5

• y = 5x + 20

• y= -5x + 20

• y = 5x - 20

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Toby is buying pet supplies for his dog. He purchases 3 bags of treats and x bags of dog food. The treats were on sale for $4.50 each. The bags of food were $26 each. Which equation can be used to determine the total amount of money Toby spent on supplies for his dog.

• y = 13.50 + 26x

• y = 3x + 30.50

• y = 4.50 + 26x

Tags

CCSS.6.EE.C.9

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

• y=15x
• y=15x+80
• y=x+15
• y=80x+15

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Which situation can be represented by the equation y = 8x + 42.5

• Emily plans to take art classes to learn how to paint. She spends $42.50 on supplies at Hobby Lobby and $8.00 on supplies at Michaels. What is y, the total amount spent after buying x supplies?

• Ari has $42.50 in her bank account. She spends $8.00 on Christmas gifts for each of her AVID mentees. How much total money, y, does Ari have in her account after buying x, gifts?

• Christine buys some movie tickets for $8.00 each. Then she spends $42.50 on snacks at the concession stand. What is y, the total amount spent after buying, x, tickets?

• Stephen is a baker and sells birthday cakes. He spends $42.50 on ingredients, then charges $8.00 per cake. What is y, the total amount earned after selling x, cakes?

Tags

CCSS.HSF.LE.B.5

Each month, Olin’s cell phone plan costs $34.99, plus $12.95 per GB of data that he uses. His bill this month was $60.89. Which equation can be used to find the amount of data (d) Olin used this month?

• 34.99d +12.95 = 60.89

• 34.99 + d = 60.89

• 34.99 - 12.95d = 60.89

• 34.99 + 12.95d = 60.89

Tags

CCSS.HSA.SSE.A.1

CCSS.HSA.CED.A.1

The temperature where Cally lives is 73℉ and is falling 2℉ per hour. Which of the following equations can be used to determine how many hours (h) it will take for the temperature to drop to 65℉?

• 73 - 2h = 65

• 73 - 65 = 2h

• 65 - 2h = 63

• 2h - 73 = 65

Tags

CCSS.7.EE.B.4A

Haylee is on page 219 of her library book. She reads at a pace of 1.5 pages per minute. Which of the following equations could be used to determine the total pages read (y) after a given number of minutes (x)?

• y = 219x + 1.5

• 219 = y +1.5x

• y = 1.5x +219

• y = 220.5x

Tags

CCSS.6.EE.C.9