Linear Equations: Word Problem Challenges for 7th Grade

A store sells pencils for $0.50 each. If you buy x pencils and spend $10, how many pencils did you buy?

• 20

• 30

• 25

• 15

Maria has twice as many marbles as John. If John has y marbles, write an equation to represent the number of marbles Maria has.

• M = y

• M = y/2

• M = 3y

• M = 2y

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. If you drove m miles and paid a total of $50, how many miles did you drive?

• 250 miles

• 150 miles

• 100 miles

• 200 miles

In a classroom, there are 3 times as many girls as boys. If there are b boys, write an equation to find the total number of students in the classroom.

• 4b

• 2b

• 3b

• 5b

A recipe requires 2 cups of flour for every 3 cups of sugar. If you have s cups of sugar, how many cups of flour do you need?

• (3/2) * s

• (2/3) * s

• 3s

• s/3

Tom is 4 years older than his sister. If his sister is a years old, write an equation to express Tom's age.

• Tom's age = 4 - a

• Tom's age = a - 4

• Tom's age = a + 2

• Tom's age = a + 4

A book costs $15, and a magazine costs $5. If you buy b magazines and spend a total of $50, how many magazines did you buy?

• 15

• 10

• 20

• 5

The sum of three consecutive integers is 72. Write an equation to find the integers.

• 25, 26, 27

• 19, 20, 21

• 23, 24, 25

• 21, 22, 23

A gardener plants x flowers in each row. If there are 5 rows and a total of 60 flowers, how many flowers are planted in each row?

• 12

• 8

• 10

• 15

A movie theater sells tickets for $12 each. If a group of g friends buys tickets and spends $96, how many friends are in the group?

• 8

• 12

• 10

• 6