# Lesson Worksheet: Rewriting Expressions Using the Distributive Property Mathematics • 7th Grade

In this worksheet, we will practice rewriting algebraic expressions using the distributive property.

**Q5: **

Which of the following demonstrates the distributive property?

- A
- B
- C
- D

**Q6: **

Identify the expression which is not equivalent to the other three.

- A
- B
- C
- D

**Q8: **

Write an expression in terms of , for the perimeter of the figure below.

- A length units
- B length units
- C length units
- D length units
- E length units

**Q9: **

Find the perimeter of the following shape.

- A
- B
- C
- D
- E

**Q12: **

A student solving the equation writes down as their first line of working. What algebraic property did they use?

- Athe associative property
- Bthe distributive property
- Cthe property of opposites
- Dthe zero property of addition
- Ethe commutative property

**Q13: **

Determine the value of that makes the equation true.

**Q14: **

Use the properties of real numbers to rewrite as an equivalent expression that does not contain parentheses.

- A
- B
- C
- D
- E

**Q15: **

What property is illustrated by the shown step:

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

**Q16: **

Which of the following expressions is equivalent to ?

- A
- B
- C
- D
- E

**Q18: **

What property is illustrated by the step

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

**Q19: **

Use the distributive property to fully expand .

- A
- B
- C
- D
- E

**Q20: **

What property is illustrated by the equation ?

- Athe distributive property of multiplication over addition
- Bthe associative property of addition
- Cthe commutative property of addition
- Dthe commutative property of multiplication
- Ethe associative property of multiplication

**Q22: **

Solve .

- A
- B
- C
- D
- E

**Q23: **

Write two equivalent expressions for the area of the following rectangle.

- A,
- B,
- C,
- D,
- E,

**Q24: **

The diagram shows the number . By dividing it into four parts, as shown by the dashed lines, one gets .

Using the diagram, find another expression for .

- A
- B
- C
- D
- E

Given that is a multiplication equivalent to this division, what is the multiplication factor ?

- A
- B4
- C
- D
- E

What property of multiplication was used to rewrite as ?

- AThe multiplicative identity property
- BThe commutative property
- CThe associative property
- DThe multiplicative inverse property
- EThe distributive property

What property of multiplication has then been used to rewrite as ?

- AThe distributive property
- BThe multiplicative identity property
- CThe commutative property
- DThe multiplicative inverse property
- EThe associative property

Is equal to ?

- AYes
- BNo