Math

Commutative Property

The order of numbers in an equation does not change the result.

Associative Property

The arrangement of numbers within parentheses does not change the result.

Distributive Property

When a number is outside parentheses (), it multiplies the numbers within parentheses.

Identity Property

Operating on a number with an identity element leaves the number unchanged.

Inverse Property

a number and its opposite cancel each other out.

Sum

means to add

Times

Means to multiply

Product

means to multiply

In All

means to add

Difference

means to subtract

LCD: Least Common Denominator

Find what multiples the denominators have in common

what do you do in an algebraic equation that includes fractions?

Find the LCD, and multiply both sides using the LCD

Commutative Property Ex:

5+3=8 | 3+5=8 / 5×3=15 | 3×5=15

Associative Property Ex:

(3+2)+1 = 3(2+1) | (3×2)x1= 3(2×1)

Distributive Property Ex:

2( 4 + z) = 8+2z

Identity Property Ex:

7+0=7 | 9×1=9

Inverse Property Ex:

4+(-4)=0 | 5×1/5 =1

What operation does Commutative and Associative property apply to?

Addition & Multiplication

Identity Element

+0 | x1

What does a number being next to a variable mean

They are multiplying each other

Combining Like Terms

means adding or subtracting terms that have the same variables

Terms

are the numbers, variables, or combinations of both separated by + or − signs.

What is the rule for intergers?

Same Signs Add, Different Signs Subtract

Why are terms only separated by + and - signs?

Because Multiplacation and Division are part of terms

Functions

Every X, only 1 Y