Y-Intercept Form Forms of a Line Point Slope Form Standard Form Ax+By+C Rise Run Y- intercept Perpendicular- Slopes Negative Reciprocals Parallel–Slopes Same

Slope m= Slope

Properties of Addition Additive Inverse Property

Properties of Multiplication

Distributive Property of Multiplication: Multiplying the sum of two numbers by a third number is the same as multiplying each of the two numbers by that third number and adding the product. a x (b+c) = (axb) + (axc) 3 x (6+4) = (3x6) + (3x4) 6 x (20 x 4) = (6 x 20) + (6 x 4) Inverse Property of Multiplication: If you multiply a number by its reciprocal (multiplicative inverse) the product is 1. 9 x 1/9 = 1 1/9 x 9 = 1 a x 1/a = 1 1/a x a = 1 1/0 is undefined Properties of Multiplication

Laws of Exponents

With ( ) (-2) 2 = (-2) × (-2) = 4 Without ( ) -2 2 = -(2 2 ) = - (2 × 2) = -4 With ( ) (ab) 2 = ab × ab Without ( ) ab 2 = a × (b) 2 = a × b × b Laws of Exponents

Addition: If a = b then a + c = b + c If -3+a=7 Then, -3+a+3=7+3 a=10 Subtraction: If a = b then a – c = b– c If 8+a=24 Then, 8+a-8=24-8 a=16 Multiplication: If a = b then ac = bc If a/3=9 Then, 3(a)=9(3) a=27 Division: If a = b and c ≠ 0 then a/c = b/c If 3(a) = 9 Then, a/3=9/3 a=3 Properties of Equality

Pythagorean Triples Distance Formula Pythagorean Theorem Hypotenuse Leg

Special Triangles

function not a function Functions

Special Binomials

(Z is for the German "Zahlen", meaning numbers, because I is used for the set of imaginary numbers). The numbers you can make by dividing one integer by another (but not dividing by zero). In other words fractions. fractions Q is for "quotient" (because R is used for the set of real numbers). Examples: 3/2 (=1.5), 8/4 (=2), 136/100 (=1.36), -1/1000 (=-0.001) Irrational Numbers Any real number that is not a Rational Number. Number Sets

Any number that is a solution to a polynomial equation with rational coefficients. Includes all Rational Numbers, and some Irrational Numbers. Transcendental Numbers Any number that is not an Algebraic Number Examples of transcendental numbers include π and e. All Rational and Irrational numbers. A simple way to think about the Real Numbers is: any point anywhere on the number line (not just the whole numbers). Examples: 1.5, -12.3, 99, √2, π They are called "Real" numbers because they are not Imaginary Numbers. Numbers that when squared give a negative result. “Imaginary" numbers can seem impossible, but they are still useful! Examples: √(-9) (=3i), 6i, -5.2i The "unit" imaginary numbers is √(- 1 ) (the square root of minus one), and its symbol is i, or sometimes j. i 2 = -1 Number Sets

A combination of a real and an imaginary number in the form a + bi, where a and b are real, and i is imaginary. The values a and b can be zero, so the set of real numbers and the set of imaginary numbers are subsets of the set of complex numbers. Examples: 1 + i, 2 - 6i, -5.2i, 4 Natural numbers are a subset of Integers Integers are a subset of Rational Numbers Rational Numbers are a subset of the Real Numbers Combinations of Real and Imaginary numbers make up the Complex Numbers. # Sets

|5| = 5 |-5| = units The distance between a number and zero Absolute Value

Polynomials

Add and Subtract Polynomials

Binomials

Factor Binomials

Factor Squares

Zeros - Roots

Quadratic

Exponent Laws

Addition Plus And Total of Increased by Add More than Together Gain Greater Subtraction Subtract Decreased by Shared Gave Fewer than Minus Less than Difference Less Loss Parentheses Times the sum of The quantity of Times the difference of Plus the difference of Multiplication Times Double Multiplied by Of Increased by Factor Twice Multiple Each Area Division Quotient Percent Split Divided by Per Divisor Half Root Zeros of x Equal Is Are Was Were Will be Yields Sold for Key Math Problem Solving Words Added to All together In all Make Sum Combine Later Perimeter Array Area Volume Squared Cubed Power Exponent Radical Radicand Base Reduced Simplest form

Percent Formulas

7x x x x x x x x Double x 5 + group x 5 + x 2 x 5 + x 3 Or Double  1 + = 9 Double Digit or Front, back, add the middle DISTRIBUTE x 10 + x ones 3x Double the number Triple the number