Linear Equation 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.HSF-BF.A.1A

A camp charges families a fee of $625 per month for one child and a certain amount more per month for each additional child. Use the graph to write an equation in slope-intercept form to represent the amount a family with x additional children would pay.

• y = 625x + 225
• y = 225x 
• y = 225x + 625
• y =  625

Tags

CCSS.8.EE.B.5

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

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

Which equation would describe "two times a number plus five equals 15"?

• x + 5 = 15
• 2x + 5=15
• x + 2(5) = 15
• 2(x + 5) = 15

Tags

CCSS.HSA.CED.A.1

A plumber charges $50 to make a house call. He also charges $25 per hour for labor.

How much would it cost for 2.5 hours of labor?

• $100

• 4.50

• $112.50

• $65.00

• $123.45

Tags

CCSS.HSF-LE.A.1B

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

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

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

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

• y = 20x + 5
• y = 5x +20

Tags

CCSS.HSF.LE.A.2

CCSS.HSA.CED.A.2

CCSS.HSF.BF.A.1