Worksheet: Rewriting Expressions Using the Distributive Property

Q1:

Use the distributive property to rewrite the algebraic expression .

• A
• B
• C
• D
• E

Q2:

Using the distributive property, rewrite the expression .

• A
• B
• C
• D
• E

Q3:

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?

• A
• B
• C
• D
• E

Q4:

A square of side 3 cm has a square of side cm cut from one corner as shown in the diagram. Write, in its simplest form, an expression for the perimeter of the remaining shape.

Q5:

Using the diagram, rewrite without brackets.

• A
• B
• C
• D
• E

Q6:

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

• A
• B
• C
• D
• E

Q7:

What property is illustrated by the step

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

Q8:

What property is illustrated by the shown step:

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

Q9:

Find the perimeter of the following shape.

• A
• B
• C
• D
• E

Q10:

What property is illustrated by the equation ?

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

Q11:

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

Q12:

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

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

Q13:

Which of the following demonstrates the distributive property?

• A
• B
• C
• D

Q14:

Which of the following expressions is equivalent to ?

• A
• B
• C
• D
• E

Q15:

Determine the value of that makes the equation true.

Q16:

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

• A
• B
• C
• D