# Lesson Worksheet: Properties of Multiplication and Addition Mathematics

In this worksheet, we will practice using the associative, commutative, and distributive properties to solve problems.

**Q7: **

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

- A
- B
- C
- D
- E

**Q8: **

Each morning, Noah 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 Noah exercises in 2 days.

**Q9: **

Mr. Mason and Mrs. Jones want to take their students to the zoo. The tickets cost $9 each. If Mr. Masonβs class has 16 students and Mrs. Jonesβs 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.

- A
- B
- C
- D
- E

**Q10: **

What property is illustrated by the step

- AThe property of opposites
- BThe associative property of multiplication
- CThe associative property of addition
- DThe commutative property of addition
- EThe distributive property of multiplication over addition

**Q12: **

Evaluate using the distributive property.

**Q13: **

Evaluate using the distributive property.

**Q14: **

Michael walked 3 blocks from home to the movie theatre. After the movie, he walked 7 blocks to an ice cream shop. Given that Michael walks the same way home, write a mathematical sentence to show that the distance walked from Michaelβs home to the ice cream shop is the same as that of the walk back home. What number property illustrates that?

- A, commutative property of multiplication
- B, distributive property of multiplication over addition
- C, associative property of multiplication
- D, commutative property of addition
- E, associative property of addition