6th Grade Word Problems: Solve Linear Equations Challenge

1. Sarah has 3 more than twice the number of apples as Tom. If Tom has x apples, write an equation to represent the number of apples Sarah has. What is the equation?

• x + 3

• 2x + 3

• 2x - 3

• 3x + 2

2. A book costs $15. If you buy 3 books, how much do you spend? Write an equation to find the total cost, and solve it.

• $30

• $75

• $60

• $45

3. A rectangle has a length that is 4 meters longer than its width. If the width is w meters, write an equation for the length and find the length if the width is 6 meters.

• 8 meters

• 12 meters

• 14 meters

• 10 meters

4. John is 5 years older than his sister. If his sister is y years old, write an equation for John's age. How old is John if his sister is 10 years old?

• 15

• 20

• 12

• 10

5. A car travels 60 miles per hour. How far will it travel in t hours? Write an equation for the distance and find the distance if t is 3 hours.

• 180 miles

• 90 miles

• 120 miles

• 240 miles

6. The sum of a number and 8 is 20. Write an equation to represent this situation and solve for the number.

• 15

• 18

• 10

• 12

7. A store is having a sale where you can buy 2 shirts for $30. Write an equation to find the cost of x shirts and solve for x if you want to spend $90.

• 8

• 10

• 4

• 6

8. Lisa has twice as many stickers as Mark. If Mark has m stickers, write an equation for the number of stickers Lisa has. How many stickers does Lisa have if Mark has 12 stickers?

• 18

• 12

• 30

• 24

9. A farmer has chickens and cows. If the number of chickens is c and the number of cows is 3 times that, write an equation for the total number of animals if there are 20 animals in total.

• c + 3c = 10

• c + 3c = 20

• 4c = 20

• c + 3 = 20

10. The perimeter of a square is 40 meters. Write an equation to find the length of one side of the square and solve it.

• 15 meters

• 20 meters

• 5 meters

• 10 meters