3.0/4.0/5.0 Expressions/Equations Cheat Sheet

Expressions• Doesn’t have equal sign• GEMDAS:Grouping symbols Exponents Multiplicaiton/Division Addition/Subtraction

Equations: • Have equal sign• Inverse operations (to both

sides)• Absolute Value: branch into

negative and positive answer• Inequalities: Flip the symbol

when mult/div by negative • Absolute Value Inequalities:

branch into negative and positive answer (flip symbol of negative answer)

6.0/7.0/8.0 Graphing Cheat Sheet

Slope y – intercept Form Vs. Standard Form- y = mx + b - tells us

nothing- m: slope - to

graph: - b: y – intercept - find

and plot intercepts

- convert to y = mx + bPoint - Slope Form:- y – y1 = m(x – x1)- (x1 , y1): point- m: slope

6.0/7.0/8.0 Graphing Cheat Sheet

Horizontal vs. Vertical- m = o - m = undefined - Ex: y = 2 - Ex: x = 2

Parallel vs. Perpendicular- Same slope, - opposite reciprocal slopesdifferent y – intercept

A point is a solution if it makes a true statement

9.0 Systems Cheat Sheet• Solution is the point of intersection (x, y)

• Methods: Graphing SubstitutionAddition/EliminationUse when: - given a graph

Use when: - one variable is

by itself - Two lines are

written in different forms

Use when: - Both lines are

in standard form

9.0 Systems Cheat Sheet• Types of Solutions:

One Infinite None

Intersecting Lines Overlapping Lines Parallel Lines

10.0 Polynomials Cheat Sheet• Exponent Rules (Monomials):• Multiplying: add exponents ex: 35 34 = 39

• Dividing: subtract exponentsex: 55 = 53

52

• Raise a power to a power: multiply exponents ex: (x3 )2

• Negative: take the reciprocal ex: ex:

• Zero: equals 1 ex: a0 = 1

• Polynomials:

• Adding: combine like terms

• Subtracting: distribute a negative 1

• Multiplying: peanut method

10.0 Polynomials Cheat Sheet

11.0 Factoring Cheat Sheet

• Methods:1. GCF: Variable, coefficient, both2. X – Factor/Factor Booty:

3. Difference of Squares:• Even exponent • Subtraction• Two terms• Perfect squares

**Use Bottoms Up when a = +1

( - )( + )

12.0/13.0 Rational Expressions Cheat Sheet

• Simplest form: the numerator and denominator have no common factors

• Simplifying: – Factor– Cancel out

• Multiplying: – Factor– Multiply– Cancel out

• Adding:

– Common denominators– combine numerators– Factor– Cancel out

12.0/13.0 Rational ExpressionsCheat Sheet

Quadratic:

• equation when the highest exponent is squared

• graph is a parabola ( u shape)

14.0 Quadratics Cheat Sheet

• y = ax2 + bx + c

• Axis of Symmetry:

• Vertex: Plug in the x from axis of symmetry to find

the y (ordered pair)

• Quadratic Formula: works every time!

20.0/21.0/22.0 Cheat Sheet

20.0/21.0/22.0 Cheat SheetDiscriminant: b2 – 4ac– Tells how many times a quadratic crosses the x - axis