IXL | Write equivalent expressions using properties

Complete the expressions.

Write each answer as a number, a variable, or the product of a number and a variable.

(

)

Distributive property

Multiply

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question

Complete the expressions.

Write each answer as a number, a variable, or the product of a number and a variable.

(

)

Distributive property

Multiply

key idea

You can use properties of operations to write equivalent expressions. Here are some common properties:

Commutative property of addition	a + b = b + a
Commutative property of multiplication	a b = b a
Associative property of addition	( a + b ) + c = a + ( b + c )
Associative property of multiplication	( a b ) c = a ( b c )
Distributive property	a ( b + c ) = a b + a c

solution

Look at the first two expressions.

(

)

Distributive property

In the top expression, the sum of

and 6 is being multiplied by the factor 9. The following are equivalent:

Add
7
d
and 6, then multiply this sum by 9.
Multiply 9 by
7
d
and 6 separately, then add the products.

These expressions are equivalent if the missing term is 6.

(

)

Distributive property

Look at the last two expressions.

Multiply

These expressions are equivalent if the missing term is

Multiply

Looking for more? Try these:

Lesson: The distributive property

Lesson: The commutative property

Lesson: The associative property

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Teacher tools

Work it out

Not feeling ready yet? These can help:

S.5Multiply using the distributive property

S.1Properties of addition and multiplication

Lesson: The distributive property

Lesson: The commutative property

Lesson: The associative property

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