Solving Linear Equations: Real-Life Word Problems

A store sells pencils for $0.50 each. If you buy x pencils, how much will you spend? Write an equation to represent the total cost and solve for x if you spend $4.00.

• 12

• 6

• 10

• 8

Maria has 3 times as many marbles as John. If John has y marbles, write an equation to represent the number of marbles Maria has. If Maria has 24 marbles, how many does John have?

• 8

• 12

• 6

• 10

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write an equation to represent the total cost C for driving m miles. How much would it cost to drive 100 miles?

• $25

• $50

• $35

• $40

In a school, the number of students in the 6th grade is 50 more than the number of students in the 5th grade. If there are z students in the 5th grade, write an equation for the number of 6th graders. If there are 150 6th graders, how many 5th graders are there?

• 75

• 200

• 100

• 125

A recipe requires 2 cups of flour for every 3 cups of sugar. If you want to use s cups of sugar, write an equation for the amount of flour needed. How much flour is needed if you use 9 cups of sugar?

• 6 cups of flour

• 10 cups of flour

• 8 cups of flour

• 4 cups of flour

Tom is saving money to buy a video game that costs $60. If he saves $x each week, write an equation to represent the total amount saved after w weeks. How many weeks will it take if he saves $15 each week?

• 2 weeks

• 4 weeks

• 3 weeks

• 5 weeks

A gardener plants 5 rows of flowers with the same number of flowers in each row. If there are f flowers in each row, write an equation for the total number of flowers. If there are 40 flowers in total, how many are in each row?

• 10

• 8

• 6

• 12

A book costs $12 and a magazine costs $5. If you buy b magazines, write an equation for the total cost T of buying one book and b magazines. How much will it cost if you buy 3 magazines?

• $30

• $15

• $27

• $20

A swimming pool is being filled with water at a rate of 10 gallons per minute. If the pool can hold p gallons, write an equation to find out how long it will take to fill the pool. How long will it take to fill a pool that holds 500 gallons?

• 50 minutes

• 75 minutes

• 100 minutes

• 30 minutes

A train travels at a speed of 60 miles per hour. If it travels for t hours, write an equation for the distance d traveled. How far does the train travel in 3 hours?

• 180 miles

• 90 miles

• 240 miles

• 150 miles