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Properties of Algebra

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

math + fun = fun + math

a)

Associative Property

b)

Math Class Rocks Property

c)

Identity Property

d)

Commutative Property

2.

 Δ + 0 = Δ\Delta\ +\ 0\ =\ \Delta  

a)

Additive Inverse Property

b)

Additive Identity Property

c)

Mult. of Zero

d)

Commutative Property

3.

Any number times its reciprocal equals 1

a)

Multiplicative Identity Property

b)

Associative Property

c)

Multiplicative Inverse Property

d)

Reciprocal Property

4.

What property is pictured here?

a)

Commutative Property

b)

Associative Property

c)

Distributive Property

d)

Angry Birds Property

5.

d(as) = (da)s

a)

Distributive Property

b)

Associative Property

c)

Commutative Property

d)

Multiplicative Identity Property

6.

 lunchfood=foodlunchlunch\cdot food=food\cdot lunch  

a)

Distributive Property

b)

Multiplicative Inverse Property

c)

Commutative Property

d)

Reflexive Property

7.

What property is shown here?

a)

Associative Property

b)

Additive Inverse Property

c)

Commutative Property

d)

Transitive Property

8.

Any number times one equals itself

a)

Multiplicative Identity Property

b)

Multiplicative Inverse Property

c)

Mult Property of Zero

d)

The Power of One Property

9.

What property is shown here?

a)

Substitution Property

b)

Distributive Property

c)

Commutative Property

d)

Associative Property

10.

 If 56 = 30 and 30=152 then 56=152If\ 5\cdot6\ =\ 30\ and\ 30=15\cdot2\ then\ 5\cdot6=15\cdot2  

a)

Symmetric Property

b)

Reflexive Property

c)

Transitive Property

d)

Substitution Property

11.

 6b + 15 = 3(2b+5)6b\ +\ 15\ =\ 3\left(2b+5\right)  

a)

Distributive Property

b)

Reflexive Property

c)

Additive Identity Property

d)

Substitution Property 

12.

 6+(4+1)=6+56+\left(4+1\right)=6+5  

a)

Reflexive Property

b)

Transitive Property

c)

Symmetric Property

d)

Substitution Property

13.

If 10 = 6g, then 6g = 10

a)

Transitive Property

b)

Reflexive Property

c)

Symmetric Property

d)

Substitution

14.

g + h = g + h

a)

Reflexive Property

b)

Commutative Property

c)

Associative Property

d)

Identity Property

15.

 7y + 5x4y = 5x + 7y4y7y\ +\ 5x-4y\ =\ 5x\ +\ 7y-4y  

a)

Associative Property

b)

Reflexive Property

c)

Distributive Property

d)

Commutative Property

16.

 (4x+10)+5y=5y+(4x+10)\left(4x+10\right)+5y=5y+\left(4x+10\right)  

a)

Reflexive Property

b)

Transitive Property

c)

Associative Property

d)

Commutative Property

17.

 What is the GCF of 12ab2c3 and 30a2bcWhat\ is\ the\ GCF\ of\ 12ab^2c^3\ and\ 30a^2bc  

a)

2a

b)

6a

c)

3abc

d)

6abc

18.

 Which answer is the completely factored form of 14d2  28dWhich\ answer\ is\ the\ completely\ factored\ form\ of\ 14d^2\ -\ 28d  

a)

 7d(2d4)7d\left(2d-4\right)  

b)

 14(d22d)14\left(d^2-2d\right)  

c)

 14d(d2)14d\left(d-2\right)  

d)

 7(2d24d)7\left(2d^2-4d\right)  

19.

How many terms are shown?

 3a+2b4c25d3+e3a+2b-4c^2-5d^3+e  

a)

1

b)

5

c)

3

d)

6

20.

What is the coefficient of the 3rd term?

 3a+2b4c25d2+e3a+2b-4c^2-5d^2+e  

a)

4

b)

5

c)

-4

d)

2