One Variable Word Problems Practice

Which choice models this situation? Lisa finished a race in 58 seconds. This was 4 seconds faster than her best practice time. What was Lindsey's best practice time?

• t + 4 = 58

• t - 4 = 58

• 4t = 58

• t/4 = 58

Amy was given an amount of money, m, for a good grades on her report card. She spent $15.00 and now has $25.32. How much money did she get for good grades? Write an equation you could use to solve this problem. Use m as your variable.

• m-25.32=15

• m/25.32

• m-15=25.32

• 15m=25.32

Cheddar cheese costs $4.25 per pound. Which equation best represents y, the total cost of x pounds of cheddar cheese?

• x = 4.25 + y

• x = 4.25y

• y = 4.25 + x

• y = 4.25x

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

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

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

Dexter's Gym charges a one-time registration fee of $40 and $20 each month. The total fee after x months is $340. Which equation models this situation?

• 40x + 20 = 340

• 20x + 40 = 340

• 20x - 40 = 340

• 20 + 340 = 40x

Ace Telecommunications charges $0.12 per minute of phone use plus a monthly service fee of $8.00 for it phone service. Which equation can be used to find c, the total cost for one month when m, minutes are used?

• c = 0.12m + 8m

• c = 8m + 0.12m

• c = 0.12m + 8

• c = 0.20m

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.

Bob has $150 in his savings account and saves $40 per month.  Which equation represents the amount Bob has in his account after x months?

• y = 150 + 40

• y = 40x + 150

• y = 150x + 40