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