Real-Life Two-Step Equations: Solve & Graph Solutions

1. Sarah has 12 apples. She gives away some apples and now has 5 left. How many apples did she give away? Solve the equation and check your solution.

• 3

• 10

• 5

• 7

2. A book costs $15. If you have $50, how many books can you buy? Write and solve the equation, then graph your solution on a number line.

• 2

• 4

• 5

• 3

3. Tom is 3 years older than his sister. If the sum of their ages is 27, how old is Tom? Set up the equation, solve it, and verify your answer.

• 21

• 18

• 15

• 12

4. A movie ticket costs $8. If you buy 3 tickets and pay with a $30 bill, how much change will you receive? Create and solve the equation, then check your work.

• $8

• $10

• $4

• $6

5. A rectangle has a length that is 4 units longer than its width. If the perimeter is 28 units, what are the dimensions of the rectangle? Solve the equation and graph the width on a number line.

• Width: 5 units, Length: 9 units

• Width: 7 units, Length: 11 units

• Width: 6 units, Length: 10 units

• Width: 4 units, Length: 8 units

6. Lisa has twice as many marbles as John. If together they have 36 marbles, how many does each have? Formulate the equation, solve it, and check your solution for accuracy.

• John has 10 marbles and Lisa has 26 marbles.

• John has 12 marbles and Lisa has 24 marbles.

• John has 18 marbles and Lisa has 18 marbles.

• John has 15 marbles and Lisa has 21 marbles.

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? Write the equation, solve it, and graph the miles on a number line.

• 30 miles

• 100 miles

• 50 miles

• 70 miles

8. A gardener has 50 flowers. He plants some and has 20 left. How many flowers did he plant? Set up the equation, solve it, and verify your answer.

• 40

• 30

• 25

• 15

9. The sum of three consecutive integers is 51. What are the integers? Create the equation, solve it, and check your solution for accuracy.

• 14, 15, 16

• 16, 17, 18

• 12, 13, 14

• 18, 19, 20

10. A store is having a sale where you can buy 2 shirts for $30. If you want to buy 5 shirts, how much will it cost? Write and solve the equation, then graph your total cost on a number line.

• $75

• $50

• $60

• $90