Variables and Expressions: 6th Grade Challenge

1. Sarah has x apples. If she buys 5 more apples, how many apples does she have now? Write an expression to represent this situation and evaluate it for x = 10.

• 5

• 10

• 15

• 20

2. A rectangle has a length of 3 times its width. If the width is w, write an expression for the length and evaluate it when w = 4.

• 6

• 8

• 12

• 10

3. Tom is saving money for a video game. He currently has y dollars and saves 10 dollars each week. Write an expression for the total amount he will have after 3 weeks and evaluate it for y = 20.

• 50

• 30

• 60

• 40

4. The sum of a number z and 15 is equal to 50. Write an equation to represent this situation and solve for z.

• 30

• 40

• 25

• 35

5. A book costs b dollars. If you buy 4 books, how much do you spend? Write an expression for the total cost and evaluate it for b = 12.

• 60

• 36

• 48

• 24

6. Lisa has twice as many stickers as her friend. If her friend has s stickers, write an expression for the number of stickers Lisa has and evaluate it when s = 6.

• 12

• 6

• 10

• 8

7. The perimeter P of a square is 4 times the length of one side s. Write an expression for P and evaluate it when s = 5.

• 15

• 25

• 20

• 30

8. A car travels d miles per hour. If it travels for 3 hours, write an expression for the total distance traveled and evaluate it for d = 60.

• 180 miles

• 90 miles

• 150 miles

• 240 miles

9. If 7 times a number n is equal to 42, write an equation to represent this situation and solve for n.

• 7

• 8

• 5

• 6

10. A farmer has p pumpkins. If he sells 8 pumpkins, how many does he have left? Write an expression to represent this situation and evaluate it for p = 20.

• 15

• 5

• 10

• 12