Solving One and Two-Step Equations: Grade 7 Challenge

1. Sarah has 12 apples. She gives away some apples to her friend. If she has 8 apples left, how many apples did she give away? (Solve the equation: 12 - x = 8)

• 4

• 6

• 2

• 10

2. A book costs $15. If you have $5, how much more money do you need to buy the book? (Solve the equation: 5 + x = 15)

• 5

• 15

• 20

• 10

3. Tom is 3 years older than his sister. If his sister is x years old, write an equation to represent Tom's age and solve for x if Tom is 12 years old.

• 9

• 10

• 11

• 8

4. A rectangle has a length of 5 meters and a width that is 3 meters less than the length. What is the width of the rectangle? (Solve the equation: w + 3 = 5)

• 1 meter

• 2 meters

• 3 meters

• 4 meters

5. The total cost of 3 notebooks and 2 pens is $10. If each notebook costs $2, how much does each pen cost? (Set up and solve the equation: 3(2) + 2p = 10)

• $3

• 2

• $4

• $1

6. Lisa has twice as many stickers as her brother. If her brother has x stickers and together they have 30 stickers, how many stickers does Lisa have? (Solve the equation: x + 2x = 30)

• 20

• 15

• 10

• 25

7. A car rental company charges a flat fee of $20 plus $0.50 per mile driven. If you paid $45, how many miles did you drive? (Solve the equation: 20 + 0.5m = 45)

• 40

• 60

• 30

• 50

8. A gardener has 50 flowers. He plants some and has 20 left. How many flowers did he plant? (Solve the equation: 50 - x = 20)

• 40

• 10

• 25

• 30

9. The sum of a number and 7 is 15. What is the number? (Solve the equation: x + 7 = 15)

• 8

• 12

• 10

• 6

10. A movie ticket costs $12. If you buy 3 tickets, how much do you spend in total? (Set up and solve the equation: 3t = 12)

• 24

• 36

• 48

• 30