Worksheet: Using Properties of Addition and Multiplications to Solve Problems

Q1:

Rewrite the expression using the distributive property.

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• E

Q2:

Rewrite the expression using the distributive property.

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Q3:

Rewrite the expression using the distributive property

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Q4:

Use the distributive property to rewrite the expression .

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Q5:

Which of the following expressions is equivalent to ?

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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.

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Q9:

Bruce 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?

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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:

Marilyn 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, Philip 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 Philip exercises in 2 days.

Q14:

A school auditorium can seat 2 groups of 52 students. Use the distributive property to determine the number of students that can be seated.

Q15:

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

Q16:

Sea turtle hatchlings mostly weigh an ounce each. If a sea turtle lays 103 eggs, and all 103 eggs hatch, determine the overall weight of the hatchlings.

Q17:

Mr. Harry and Mrs. Jack want to take their students to the zoo. The tickets cost \$9 each. If Mr. Harry’s class has 16 students, and Mrs. Jack’ 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.

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Q18:

A couple walked from home 7 blocks to a movie theater. After the movie, they walked 10 blocks to an Italian restaurant. Write a mathematical sentence to show that the distance from the couple’s home to the Italian restaurant is the same as the return walk home, and then determine the real number property illustrated by the information.

• A, associative property of addition
• B, distributive property
• C, commutative property of addition
• D, identity property of addition
• E, associative property of addition