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Equivalent Expressions Using Distributive Property and Like Terms

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

Which mathematical property shown here proves that these two expressions are equivalent?
   6(v+5v)  =   6v+30v 

a)

Commutative Property multiplication

b)

Identity Property

c)

Distributive Property 

d)

Associative Property of addition

2.

Which of the expressions below are equivalent?

a)

2 x (m+5)  and     2m + 10

b)

5a+(6a x0) and  30a

c)

5n+3n+2n and 9n

d)

a+ a+ a=  a3

3.

Which expression is equivalent to 30d+18?

a)

48d

b)

6(5d+3)

c)

5(6+3d)

d)

d+30+18

4.

Is 20b+16c  equal to 4(4b+5c)?

a)

yes

b)

no

5.

How would an equivalent expression be written for this expression if the distributive property was used?
  14x + 21y

a)

7+(2x+3y)

b)

21+y+14x

c)

21y+14x

d)

7(2x +3y)

6.

lets you simplify expressions wherein you multiply a number by a sum or difference.

a)

distributive property

b)

variable

c)

term

d)

algebraic expression

7.

terms with the same variable raised to the same power.

a)

like terms

b)

variable

c)

term

d)

expression

8.

numbers that represent the same value or amount

a)

like terms

b)

equivalent

c)

variables

d)

coefficient

9.

Which property is represented?

7(2t + u) = 14t + 7u

a)

Commutative Property

b)

Associative Property

c)

Distributive Property

10.

Write an equivalent expression using the Distributive Property:

(b + 8)5

a)

b + 40

b)

5b - 40

c)

5b + 40

d)

5b + 8