Linear Equations Word Problems

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 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

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation for C, the total cost, to rent the boat for h hours.

• h = 2C + 15
• C = 15h + 2
• h = 15C + 2
• C = 2h + 15

Tags

CCSS.HSF-BF.A.1A

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. Interpret 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.HSF.LE.B.5

You are visiting Baltimore, MD and a taxi company charges you a flat fee of $3.00 for using the taxi and $0.75 per mile.

Which of the following equations matches the situation?

• 0.75x + 3y = 50

• y = 0.75x + 3

• y = 3x + 0.75

• 3x + 0.75y = 50

• 50 = -0.75x + y

Tags

CCSS.6.EE.C.9

What does the slope mean in the context of the problem?

• The cost will increase by $1.40 per topping
• The cost will decrease by $1.40 per topping
• The cost will increase by $1.90 per topping
• The cost will decrease by $1.90 per topping 

Tags

CCSS.HSF.LE.B.5

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours?

• y = 8.5 + 25.5
• y = 25.5 + 8.5x
• y = 8.5 + 25.5x

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Sonya has $40 in her lunch account and pays $2 each day to eat lunch. Which equation can be used to find the amount of money Sonya has left on her account after x days?

• y = 40 + 2x

• y = - 2x + 40

• y = 2 + 40x

• y = 2 - 40x

Tags

CCSS.6.EE.C.9

You and your friends plan to attend the county fair this weekend.  Admission to the fair is $5 and the cost per ride is $0.50.  How many rides can you go on if you have $20?

• 20 rides
• 30 rides
• 40 rides
• 50 rides

Tags

CCSS.7.EE.B.4A

A man is climbing down from 100 feet high descending 30 feet per minute.

• y = - 30x + 100

• y = 100 + 30x

• y = 100x + 30

• y = 100x - 30

Tags

CCSS.6.EE.C.9