Solving Variable Equations: Word Problems for 6th Grade

1. Sarah has 5 more than twice the number of apples as Tom. If Tom has x apples, write an equation to represent the situation and solve for x if Sarah has 15 apples.

• 10

• 7

• 5

• 3

2. A book costs $8 more than 3 times the price of a magazine. If the magazine costs x dollars, write an equation and find the price of the magazine if the book costs $32.

• 8

• $12

• $24

• $16

3. A gardener plants x rows of flowers. Each row has 4 flowers, and he plants 12 more flowers than rows. Write an equation and solve for x if he planted 36 flowers in total.

• 16

• 24

• 20

• 10

4. A car rental company charges a flat fee of $20 plus $15 for each day the car is rented. If the total cost is $80, write an equation to find out how many days the car was rented.

• 4

• 3

• 5

• 6

5. Lisa has 3 times as many stickers as her brother. If her brother has x stickers, write an equation and determine how many stickers Lisa has if her brother has 10 stickers.

• 15

• 25

• 20

• 30

6. A concert ticket costs $25 more than 4 times the price of a movie ticket. If the movie ticket costs x dollars, write an equation and find the price of the movie ticket if the concert ticket costs $125.

• $100

• $50

• 25

• $75

7. A baker makes x loaves of bread. Each loaf requires 2 cups of flour, and he uses 10 cups of flour in total. Write an equation and solve for x to find out how many loaves he made.

• 10

• 7

• 5

• 3

8. A school has x students in the 6th grade. If there are 15 more students in the 6th grade than in the 5th grade, and there are 45 students in the 5th grade, write an equation and solve for x.

• 60

• 70

• 50

• 55

9. A toy store sells x toy cars. If the store has 30 more toy cars than toy trucks, and there are 50 toy trucks, write an equation and find out how many toy cars are sold.

• 70

• 100

• 80

• 90

10. A farmer has x chickens and 20 more than twice the number of chickens in ducks. If the farmer has 80 ducks, write an equation and solve for x to find out how many chickens he has.

• 40

• 30

• 15

• 25