# 3.0/4.0/5.0 Expressions/Equations Cheat Sheet

## Presentation on theme: "3.0/4.0/5.0 Expressions/Equations Cheat Sheet"— Presentation transcript:

3.0/4.0/5.0 Expressions/Equations Cheat Sheet
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 + b Point - Slope Form: y – y1 = m(x – x1) (x1 , y1): point m: slope

6.0/7.0/8.0 Graphing Cheat Sheet
A point is a solution if it makes a true statement Horizontal vs. Vertical m = o m = undefined Ex: y = Ex: x = 2 Parallel vs. Perpendicular - Same slope, - opposite reciprocal slopes different y – intercept

9.0 Systems Cheat Sheet Solution is the point of intersection (x, y)
Methods: Graphing Substitution Addition/Elimination Use 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 exponents ex: = 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

10.0 Polynomials Cheat Sheet
Adding: combine like terms Subtracting: distribute a negative 1 Multiplying: peanut method

11.0 Factoring Cheat Sheet Methods: GCF: Variable, coefficient, both
X – Factor/Factor Booty: 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: Multiply

12.0/13.0 Rational Expressions Cheat Sheet
Adding: Common denominators combine numerators Factor Cancel out

equation when the highest exponent is squared graph is a parabola ( u shape)

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