Practice Makes Perfect Algebra II Review and Workbook by Monahan, Christopher -- Read -- Imperial Library of Trantor

Index

Cover Title Page Copyright Page Dedication Contents Introduction 1 Functions: An introduction

Relations and inverses Functions Function notation Arithmetic of functions Transformation of functions Inverse of a function Graphical representation of functions

2 Linear equations and inequalities

Simple linear equations Linear inequalities System of linear equations—graphical System of linear equations—substitution System of linear equations—elimination System of linear equations—three variables System of linear equations—matrix System of linear equations—application System of linear inequalities Absolute value equations Absolute value inequalities

3 Quadratic relationships

The parabola Special factoring formulas Trial and error Completing the square Quadratic formula Applications Square root function Circles Ellipses Hyperbolas Systems of equations

4 Complex numbers

Powers of i Arithmetic of complex numbers The discriminant and nature of the roots of a quadratic equation Sum and product of roots of a quadratic equation

5 Polynomial functions

Even and odd functions Inverse functions End behavior Factor theorem

6 Rational and irrational functions

Rational functions Multiplying and dividing rational expressions Adding and subtracting rational expressions Solving rational equations Irrational functions Simplifying irrational expressions Solving irrational equations

7 Exponential and logarithmic functions

Properties of exponents Exponential and logarithmic functions Properties of logarithms Solving exponential and logarithmic equations

8 Sequences and series

Summation notation Recursion Arithmetic sequences Arithmetic series Geometric sequences Geometric series

9 Introduction to probability

Fundamental theorem of counting Permutations Combinations Binomial expansions Conditional probability Binomial probability/Bernoulli trial

10 Introduction to statistics

Measures of central tendency Measures of dispersion Normal distribution Regressions

11 Inferential statistics

Basics Central limit theorem and standard error Standardized (z) scores The basics of inferential statistics Confidence intervals Tests of hypotheses Simulation

12 Trigonometry: Right triangles and radian measure

Right triangle trigonometry Special right triangles The unit circle: First quadrant The unit circle—beyond the first quadrant Radian measure Basic trigonometric identities Area of a triangle Law of sines Ambiguous case Law of cosines

13 Graphs of trigonometric functions

Amplitude and period Graphing trigonometric functions Inverse trigonometric functions Solving trigonometric equations

Answer key

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