Solving Two-Step Algebraic Problems & Checking Solutions

Maria has 12 apples. She gives away some apples to her friend and now has 5 apples left. How many apples did she give away? Write an equation to represent this situation and check your solution.

• 8

• 4

• 7

• 6

A book costs $15. If you buy 3 books and pay with a $60 bill, how much change will you receive? Write an equation to find the total cost and check your solution.

• $15

• $5

• $45

• $30

Tom is 4 years older than his sister. If the sum of their ages is 20, how old is Tom? Write an equation to represent their ages and check your solution.

• 10

• 12

• 8

• 14

A store sells pencils for $2 each. If you buy some pencils and spend $14, how many pencils did you buy? Write an equation to find the number of pencils and check your solution.

• 5

• 7

• 3

• 10

Lily has twice as many marbles as Jake. If together they have 30 marbles, how many marbles does each have? Write an equation to represent the situation and check your solution.

• Jake has 5 marbles and Lily has 25 marbles.

• Jake has 12 marbles and Lily has 18 marbles.

• Jake has 10 marbles and Lily has 20 marbles.

• Jake has 15 marbles and Lily has 15 marbles.

A gardener plants 5 rows of flowers with the same number of flowers in each row. If there are 35 flowers in total, how many flowers are in each row? Write an equation and check your solution.

• 7

• 5

• 10

• 8

A movie ticket costs $10. If Sarah buys tickets for herself and 3 friends, how much money does she need? Write an equation to find the total cost and check your solution.

• $40

• $20

• $30

• $50

In a classroom, there are 24 students. If 6 students are absent, how many students are present? Write an equation to represent this situation and check your solution.

• 18

• 20

• 15

• 12

A baker made 48 cookies. If he packs them into boxes of 6 cookies each, how many boxes can he fill? Write an equation to find the number of boxes and check your solution.

• 12

• 6

• 10

• 8

A car travels 60 miles per hour. How far will it travel in 2 hours? Write an equation to represent this situation and check your solution.

• 80 miles

• 120 miles

• 150 miles

• 100 miles