Download Algebra II (10) Semester 2 Exam Outline – May 2015 Unit 1

Algebra II (10) Semester 2 Exam Outline – May 2015
Unit 1: Polynomial Functions
 Identify, evaluate, add and subtract polynomials. (6.1)
 Classify and graph polynomials. (6.1)
 Multiply polynomials, use binomial expansion to expand binomial
expressions that are raised to positive integer powers. (6.2)
 Use long division and synthetic division to divide polynomials. (6.3)
 Use the factor theorem to determine factors of a polynomial. (6.4)
 Factor the sum and difference of two cubes. (6.4)
 Identify the multiplicity of roots. Solve polynomials with rational and
irrational roots. (6.5)
 Write a polynomial equation of least degree with given roots. (6.6)
 Identify all of the roots of a polynomial equation. (6.6)
 Use properties of end behavior to analyze, describe, and graph
polynomial functions. (6.7)
 Identify and use maxima and minima of polynomial functions to solve
problems. (6.7)
 Transform polynomial functions. (6.8)
Unit 2: Exponential and Logarithmic Functions
 Write and evaluate exponential expressions to model growth and decay
situations. (7.1)
 Graph and recognize inverses of relations and functions. (7.2)
 Write equivalent forms for exponential and logarithmic functions. (7.3)
 Write, evaluate, and graph logarithmic functions. (7.3)
 Use properties to simplify logarithmic expressions. (7.4)
 Translate between logarithms in any base. (7.4)
 Solve exponential and logarithmic equations. Solve problems involving
exponential and logarithmic equations. (7.5)
 Use the number e to write and graph exponential functions representing
real-world situations. (7.6)
 Solve equations and problems involving e or natural logarithms. (7.6)
Unit 3: Rational and Radical Functions
 Solve problems involving direct, inverse, joint, and combined variation.
(8.1)
 Simplify rational expressions. (8.2)
 Multiply and divide rational expressions. (8.2)
 Add and subtract rational expressions. Simplify complex fractions. (8.3)
 Graph rational functions. Transform rational functions by changing
parameters. (8.4)
 Solve rational equations and inequalities. (8.5)
 Rewrite radical expressions by using rational exponents. (8.6)
 Simplify and evaluate radical expressions and expressions containing
rational exponents. (8.6)
 Graph and transform radical functions and inequalities. (8.7)
 Solve radical equations and inequalities. (8.8)
Unit 4: Probability and Statistics
 Solve problems involving the fundamental counting principle. (11.1)
 Solve problems involving permutations and combinations. (11.1)
 Find the theoretical probability of an event. (11.2)
 Find the experimental probability of an event. (11.2)
 Determine whether events are independent or dependent. (11.3)
 Find the probability of independent and dependent events. (11.3)
 Find the probability of mutually exclusive or inclusive events. (11.4)
 Find measures of central tendency and measures of variation for
statistical data. (11.5)
 Examine the effect of outliers on statistical data. (11.5)
 Use the Binomial Theorem to expand a binomial raised to a power. (11.6)
 Find binomial probabilities and test hypotheses. (11.6)