Solve Equations and Justify Steps

S E M E S T E R R E V I E W A L G E B R A I I H O N O R S

Equations Solve Equations and Justify Steps Commutative Property of Addition and Multiplication Associative Property of Addition and Multiplication Distributive Property Collect Like Terms Simplify Addition, Subtraction, Multiplication and Division Property of Equality Systems of Equations 2x2 and 3x3 Graphing Substitution Elimination

Linear Functions Formulas Slope-intercept form: y = m x + b; m = slope, b = y –intercept

Point- slope form: y – y1 = m(x – x1) Standard Form: Ax + By = C Inverse Special Features x and y-intercepts Slope or Rate of Change Increasing, Decreasing or Constant Positive and Negative Interval End Behavior Transformation Vertical or Horizontal Translation Vertical or Horizontal Stretch or Compression Reflection x axis or y axis Quadratic Functions Graphing Axis of Symmetry Vertex Solving Quadratic Equations Square Roots Completing the Square Factoring Quadratic Formula Special Features x and y -intercepts Vertex Axis of Symmetry Transformation Vertical or Horizontal Translation Vertical or Horizontal Stretch or Compression Reflection x axis or y axis Polynomial Functions Operations with Polynomials Addition and Subtraction Multiplication and Division Solving Polynomials Greatest Common Factor Factoring Special Cases Rational Root Theorem/Synthetic Division Graphing Quadratic, Cubic, and Quartic Functions x and y-intercepts End Behavior Number of Turns Transformation Vertical or Horizontal Translation Vertical or Horizontal Stretch or Compression Reflection x axis or y axis Complex Numbers

a + bi

i² = -1 Operations with Complex Numbers Graphed on Complex Plane Complex Conjugates Rational Expressions and Functions Operations with Rational Expressions Addition and Subtraction: Common Denominator Multiplying and Dividing: Simplify Solving Rational Equations Watch for Extraneous Solutions Graphing Rational Functions x-intercept – where numerator equals zero y-intercept- where x=0 vertical asymptotes –where denominator equals zero horizontal/oblique asymptotes-degree of polynomials less------y=0 same------coefficients greater------divide holes- common factor in both numerator and denominator Review for End-of Course Exam MathNation –Sections 2 through 7 Take Test Yourself Tool and Review Videos on the Questions you missed. Online Textbook and Tutorials: https:// my.hrw.com