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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)

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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 – y 1 = m(x – x 1 ) -(x 1, y 1 ): point -m: slope

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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 slopes different y – intercept A point is a solution if it makes a true statement

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9.0 Systems Cheat Sheet Solution is the point of intersection (x, y) Methods: Graphing SubstitutionAddition/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

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9.0 Systems Cheat Sheet Types of Solutions: One Infinite None Intersecting LinesOverlapping Lines Parallel Lines

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10.0 Polynomials Cheat Sheet Exponent Rules (Monomials): Multiplying: add exponents ex: 3 5 3 4 = 3 9 Dividing: subtract exponents ex: 5 5 = Raise a power to a power: multiply exponents ex: (x 3 ) 2 Negative: take the reciprocal ex:ex: Zero: equals 1 ex: a 0 = 1

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

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11.0 Factoring Cheat Sheet Methods: 1.GCF: Variable, coefficient, both 2.X – Factor/Factor Booty: 1.Difference of Squares: Even exponent Subtraction Two terms Perfect squares **Use Bottoms Up when a = +1 ( - )( + )

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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

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

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Quadratic: equation when the highest exponent is squared graph is a parabola ( u shape) 14.0 Quadratics Cheat Sheet

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y = ax 2 + 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

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Discriminant: b 2 – 4ac – Tells how many times a quadratic crosses the x - axis

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