Solving Linear Equation Word Problems

Tim is 5 kg heavier than Amy. Let Amy’s mass be x kg.

            If Tim’s mass is 63 kg, find Amy’s mass.

• 68 kg

• 66 kg

• 58 kg

• 56 kg

5 times a number decreased by 2 is 4. Find the number.

less than 5 times of a number is 4. Find the number.

Chloe and Sharon have $100 altogether. Chloe has $25 more than 4 times the amount of money Sharon has. Let x = the amount of money Sharon has. Write an expression of Chloe’s money in terms of x.

Chloe and Sharon have $100 altogether.

Chloe has $25 more than 4 times the amount of money Sharon has.

Let x = the amount of money Sharon has.

Find the amount of money Sharon has.

• Sharon has $30.

• Sharon has $25.

• Sharon has $20.

• Sharon has $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. Interpret the y-intercept in context.

• The additional fee of $8.

• The initial fee of $25.

• The cost per shirt of $25.

• The cost per shirt of $8.

Your new job is at the Custom T Shop, where T Shirts are printed to order. For each order, Custom T Shop charges $8 per shirt plus a one time set up fee of $15, represented by the equation y=8x+15

How much would 50 shirts cost?

• $40

• $400

• $415

• $65

• $390

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

Bob has $150 in his savings account and saves $40 per month.  How long until he has saved $430?

• 10.75 months

• 7 months

• $17,350

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. How many hours would you rent the car to cost you $80.75?

• 6 hours

• 6.5 hours

• 7 hours