Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
List of important publications in mathematics wikipedia , lookup
Functional decomposition wikipedia , lookup
Big O notation wikipedia , lookup
Recurrence relation wikipedia , lookup
Vincent's theorem wikipedia , lookup
Mathematics of radio engineering wikipedia , lookup
Fundamental theorem of algebra wikipedia , lookup
Signal-flow graph wikipedia , lookup
Factorization of polynomials over finite fields wikipedia , lookup
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) β 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 βb/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 βIs it factor?β (6-5, 6-6) Find Possible Roots with Rational Root Theorem, etc. (6-5) Binomial Theorem Ch. 7 Review of Exponents and Radicals