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Worksheet: Rewriting Expressions Using the Distributive Property
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