Download Algebra 2: Semester 1 Final Exam Review Study Sheet Ch.1

Algebra 2: Semester 1 Final Exam Review Study Sheet
Ch.1
Combine Like Terms, done together with Order of Operations
Solving Inequalities and Equations of all Types and Difficulties
Solve for given variable in a Formula
Solving Absolute Value Equations and Inequalities
Evaluate an expression for a given variable
Number Sets: rational, irrational, integer, whole number, real number, natural number
Ch. 2
Functions; identifying functions and related terms (domain, range, etc.)
Function Notation ( f (h( x)), g (2), h(4 x) , etc.)
Graphing Linear Function by slope-intercept or by finding x- and y-intercepts
Slope; find slope when given two points on the line or when given a graphed line
Write the Equation of the Linear Function given certain intercepts, slope, etc.
Write the Equation of the Linear Function given parallel or perpendicular conditions
Graph Lines when given functions in any form (standard, slope-intercept, or point-slope)
Graph Absolute Value Functions by Translations, etc.
Graph Absolute Value and Linear Inequalities
Ch. 3
Solve 2 by 2 Systems of Equations by Graphing, Substitution, or Elimination
Solve 3 by 3 Systems of Equations
Graph Systems of Inequalities (linear, abs val, or some other function)
Ch. 5
Factoring Polynomials by Greatest Common Factor
Add or Subtract Polynomials
Multiplying a monomial by a polynomial (distributive property)
Multiplying polynomials (distributive property) – foiling
Using the difference of squares or perfect squares to foil or factor quadratics
Factor Quadratics of any Type or Difficulty
Solve Quadratics by Sq Rts, Factoring, Comp. the Square or Quad. Formula
Graph Parabolas by (a) factoring, (b) finding x-intercepts, and (c) finding the vertex
Graph Parabolas by finding the vertex with the formula –b/2a
Graph Parabolas in vertex form using transformations
Graph Parabolas in standard form by converting to vertex form and then transformations
Simplify expressions with operations of complex numbers (add, subtract, multiply)
Use the Powers of i to simplify expressions with imaginary numbers
Ch. 6
Classify Polynomials by degree (constant, linear, quadratic, cubic, quartic, quintic)
Classify Polynomials by number of terms (monomial, binomial, trinomial, polynomial)
Factor Polynomials, Multiply Polynomials, Solve Polynomial Equations (6-4)
Factoring Polynomials by Grouping
Factoring the Sum and Difference of Cubes
Find the Polynomial Equation with the given zeros, either real, radical or imaginary
Graph Polynomials by Finding roots and then looking at end behavior (6-2)
Long and Synthetic Polynomial Division (6-3)
Find all Roots or Factors of the Polynomial, and “Is it factor?” (6-5, 6-6)
Find Possible Roots with Rational Root Theorem, etc. (6-5)
Binomial Theorem
Ch. 7
Review of Exponents and Radicals