Commutative and Associative Property

Multiplicative Inverses (Reciprocals)

3/4 and 4/3 are known as ____?

Additive Inverses (Opposites)

5 and -5 are known as _____?

Associative Property

Add: the quantity x + b then plus c = x + the quantity b+c or Mult: the quantity x times b then times c =x times the quantity b times c

Commutative Property

Add: x + b = b + x or Mult: x times b = b times x

Associative Property of Addition

For any numbers a , b , and c, (a+b)+c=a+(b+c) (2+4)+6=2+(4+6)

Commutative Property of Addition

For any numbers, a and b , a + b = b + a 5 + 6 = 6 + 5

Commutative Property of Multiplication

For any numbers, a and b , a times b = b times a 3 × 2 = 2 × 3

Substitution Property

If x = b, then x may be substituted for b x = 5 then x + 2 can be written as 5 + 2

7(2x+7)

If you pull out the GCF of 14x + 49, what would it look like?

The GCF

In 6x+20x, what would 2x represent?

Associative Property of Multiplication

States that changing grouping of factors does not change the product. (a × b)×c = a×(b × c); example: (2 × 6) × 7 = 2 × (6 × 7)

Square Root

The opposite of Square is _______________.

Associative Property of Multiplication

What property would you use to simplify this? 3 times the quantity 1/3 times7

Commutative Property of Multiplication

What property would you use to simplify this? =1/5 times 16 times 5

Distributive Property

What property would you use to simplify? 3(x + 2) + 9

Commutative Property of addition

What property would you use? 16 + 5 + 4

Identity Property of Addition

x + 0 = x, example 5 + 0 =5

Zero Property

x times 0 or 0 times x = 0

Distributive Property

x times the quantity b + c = x times b + x times c. Also, the quantity b+c then times x = b times x + c times x

Identity Property of Multiplication

1 times z = z, example 1 times 4 = 4