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3.0/4.0/5.0 Expressions/ Equations Cheat Sheet

3.0/4.0/5.0 Expressions/ Equations Cheat Sheet. Expressions Doesn’t have equal sign GEMDAS: G rouping symbols E xponents M ultiplicaiton / D ivision A ddition/ S ubtraction. Equations: Have equal sign Inverse operations (to both sides)

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3.0/4.0/5.0 Expressions/ Equations Cheat Sheet

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  1. 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)

  2. 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

  3. 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 = 2 - Ex: x = 2 • Parallel vs. Perpendicular • - Same slope, - opposite reciprocal slopes • different y – • intercept

  4. 9.0 Systems Cheat Sheet • Solution is the point of intersection (x, y) • Methods: • Graphing Substitution Addition/Elimination • Use when: • one variable is by itself • Two lines are written in different forms • Use when: • Both lines are in standard form Use when: - given a graph

  5. 9.0 Systems Cheat Sheet • Types of Solutions: • One Infinite None Intersecting Lines Overlapping Lines Parallel Lines

  6. 10.0 Polynomials Cheat Sheet • Exponent Rules (Monomials): • Multiplying: add exponents • ex: 35 34 = 39 • Dividing: subtract exponents • ex: 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

  7. 10.0 Polynomials Cheat Sheet • Polynomials: • Adding: combine like terms • Subtracting: distribute a negative 1 • Multiplying: peanut method

  8. 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 ( - )( + )

  9. 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

  10. 12.0/13.0 Rational ExpressionsCheat Sheet • Adding: • Common denominators • combine numerators • Factor • Cancel out

  11. 14.0 Quadratics Cheat Sheet • Quadratic: • equation when the highest exponent is squared • graph is a parabola ( u shape)

  12. 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!

  13. 20.0/21.0/22.0 Cheat Sheet Discriminant: b2 – 4ac • Tells how many times a quadratic crosses the x - axis

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