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# Algebra 1

### All you need to know

Commutative property "3 + 4= 4 + 3" or "2 x 5= 5 x 2"
Distributive property a(b+c) = ab+ac, but a/(b+c) ≠ a/b + a/c
Factoring (Reverse Distributive Property) ab + ac = a(b+c)
Reciprocal of "A" in addition and subtraction -A
Reciprocal of "A" in multiplication and division 1/A
Reciprocal of "-A" in addition and subtraction A
Reciprocal of "A/B" in multiplication and division B/A
Mixed Numbers 2 3/4 (has whole number and a fractional part)
2 + 1/2 =2 1/2
2 x 1/2 = 1
Implied multiplication a b/c = a x b/c (Not 2 1/2 ≠ 2 x 1/2)
Ratio 2:1 or 3:4 .......... A ratio is a statement of how two numbers compare. It is a comparison of the size of one number to the size of another number
Exponents An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd means: 2 x 2 x 2 = 8. 34
Natural Numbers The set of numbers 1,2,3,4,... Also called counting numbers
Whole numbers Natural numbers (counting numbers) and zero; 0,1,2,3,4,...
Integers All whole numbers (both positive and negative) and zero
Rational Numbers Numbers that can be written as factions, including terminating and repeating decimals, and interges
Irrational Numbers Numbers that cannot be expresses as a ratio of two integers. Their decimal expansions are non-ending and non-repeating (like pi or the square root of 2)
Pythagorean Theorem A2+b2=c2
FOIL (First, Outside, Inside Last) (a+b)(c+d)= ac+ ad+bc+bd
Created by: Teens