Linear Equation Word Problems SAT

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?

A camp charges families a fee of $625 per month for one child and $250 for each additional child. What is the rule that would represent the amount a family with x additional children would pay?

• y = 625x + 250

• y = 250(x - 1) 

• y = 250x + 625

• y =  625 + 250(x-1)

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 liters of water in a tank. It is leaking water at a rate of 25 liters per hour.

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

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.

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

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

You are visiting Toronto and a taxi company charges you a flat fee of $8.75 for using the taxi and $2.50 per kilometer.

Which of the following equations matches the situation, if x = the number of kilometers and y = the cost?

• 2.50x + 7 = 8.75

• y = 2.50x + 8.75

• y =8.75x + 2.50

• 8.75x + 2.50y = 50

• 50 = -2.50x + 8y

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

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