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Linear Equations: Word Problem Challenges for 7th Grade

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

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

a)

20

b)

30

c)

25

d)

15

2.

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

a)

M = y

b)

M = y/2

c)

M = 3y

d)

M = 2y

3.

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?

a)

250 miles

b)

150 miles

c)

100 miles

d)

200 miles

4.

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.

a)

4b

b)

2b

c)

3b

d)

5b

5.

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?

a)

(3/2) * s

b)

(2/3) * s

c)

3s

d)

s/3

6.

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

a)

Tom's age = 4 - a

b)

Tom's age = a - 4

c)

Tom's age = a + 2

d)

Tom's age = a + 4

7.

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?

a)

15

b)

10

c)

20

d)

5

8.

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

a)

25, 26, 27

b)

19, 20, 21

c)

23, 24, 25

d)

21, 22, 23

9.

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?

a)

12

b)

8

c)

10

d)

15

10.

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?

a)

8

b)

12

c)

10

d)

6