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Solving Word Problems with Variables: 6th Grade Challenge

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

A store sells pencils for $2 each and erasers for $3 each. If you buy a total of 10 items and spend $24, how many pencils did you buy?

a)

4

b)

8

c)

10

d)

6

2.

Maria has twice as many marbles as John. If John has x marbles and together they have 36 marbles, how many marbles does Maria have?

a)

12

b)

18

c)

30

d)

24

3.

A recipe requires 3 cups of flour and 2 cups of sugar. If you want to make 4 batches of the recipe, how many cups of flour and sugar do you need in total?

a)

15 cups of flour and 10 cups of sugar

b)

12 cups of flour and 8 cups of sugar

c)

8 cups of flour and 4 cups of sugar

d)

10 cups of flour and 6 cups of sugar

4.

A book costs $15. If you buy 3 books and pay with a $50 bill, how much change will you receive?

a)

$0

b)

$10

c)

$5

d)

$20

5.

In a class, the number of boys is 5 more than twice the number of girls. If there are g girls, write an equation to find the total number of students in the class.

a)

3g + 5

b)

2g + 5

c)

3g - 5

d)

g + 5

6.

A gardener plants 5 rows of flowers with 8 flowers in each row. If he wants to plant 3 more rows, how many flowers will he have in total?

a)

72

b)

56

c)

48

d)

64

7.

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If you drove x miles and paid a total of $70, how many miles did you drive?

a)

100 miles

b)

50 miles

c)

80 miles

d)

120 miles

8.

Liam has 3 times as many stickers as Emma. If Emma has y stickers and together they have 48 stickers, how many stickers does Liam have?

a)

18

b)

24

c)

12

d)

36

9.

A movie theater sells tickets for $12 each. If a group of friends buys tickets for 5 people and spends $60, how many tickets did they buy?

a)

5

b)

3

c)

6

d)

4

10.

A school is planning a field trip. The cost per student is $30, and there are 20 students going. If the school has $500 budgeted for the trip, how much money will be left after paying for all the students?

a)

$200

b)

$50

c)

$0

d)

-$100