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CITATION

Monahan, Christopher. Practice Makes Perfect Algebra II Review and Workbook, Second Edition. New York: McGraw-Hill Education, 2018.

Practice Makes Perfect Algebra II Review and Workbook, Second Edition

Authors: Christopher Monahan

Published:  January 2018 Pages: 240

eISBN: 9781260116038 | ISBN: 9781260116021
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  • 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