Worksheet: Using Properties of Addition and Multiplications to Solve Problems

In this worksheet, we will practice using the properties of addition and subtraction to rewrite equivalent expressions. The worksheet also evaluates your ability to use the associative, distributive, commutative, and identity properties to solve real-world problems.

Q1:

Rewrite the expression using the distributive property.

Q2:

Rewrite the expression using the distributive property.

Q3:

Rewrite the expression using the distributive property

Q4:

Use the distributive property to rewrite the expression .

Q5:

Which of the following expressions is equivalent to ?

Q6:

Using the distributive property, evaluate .

Q7:

Calculate .

Q8:

Use the properties of real numbers to write an expression equivalent to that does not use parentheses.

Q9:

Benjamin had b dollars in his savings account and then he deposited $11. seven months later, his balance had doubled. Which of the following is equivalent to his new balance of dollars?

Q10:

If tickets to a movie cost $14 each, and a serving of popcorn costs $7, use the distributive property to mentally calculate the cost for 5 tickets and 5 servings of popcorn.

Q11:

Charlotte had an end-of-the-year celebration for her employees. It cost her $7 per employee for food and $1 per employee for an end-of-the-year souvenir. If 12 employees attended the party, use the distributive property to find its total cost.

Q12:

Amelia has not been using the elevator at her building for eight weeks. She climbed up and down 354 steps every day for the duration of that period. Use the distributive property to determine the number of steps she climbed during that period.

Q13:

Each morning, Anthony runs for 12 minutes and does push-ups for 22 minutes in the park. Use the distributive property to determine the total number of minutes that Anthony exercises in 2 days.

Q14:

A car moves at a speed of 72 miles per hour. How far will it travel in 3 hours?

Q15:

Mr. Benjamin and Mrs. William want to take their students to the zoo. The tickets cost $9 each. If Mr. Benjamin’s class has 16 students, and Mrs. William’ class has 24 students, use the distributive property to write a mathematical sentence to express how to find the total cost of tickets in two ways.