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1,001 Pre-Calculus Practice Problems For Dummies

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  • Table of Contents
  • Course Details
  • Getting started with algebra basics
    Properties of number systems
    Order of operations
    Graphing inequalities
    Using graphing formulas
    Applications of graphing formulas
  • Solving some equations and inequalities
    Interval notation vs. inequality notation
    Solving inequalities
    Radicals and fractional notation
    Solving radical equations
    Rationalizing denominators
  • Function basics
    Functions and function notation
    Inverse functions
    Operating on functions
  • Graphing and transforming functions
    Graphing functions
    Function transformations
  • Polynomials
    Quadratic equations
    Factoring polynomials for intercepts
    Using roots to write equation of polynomial
    Graphing polynomials
  • Exponential and logarithmic functions
    Exponential functions
    Solving exponential equations
    Exponential - logarithmic equivalence
    Logarithmic functions
    Applications of exponential and log functions
  • Trig basics
    Right-triangle trigonometry
    Radians vs degrees
    Unit circle
    Arc length
    Inverse trig functions
    Solving trig equations
  • Graphing trig functions
    Graphs of sine and cosine
    Graphs of tangent and cotangent
    Graphs of secant and cosecant
  • Getting started with trig identities
    Solving basic identities using:
    Trig proofs using identities
  • Continuing with trig identities
    Introducing more identities using:
    Solving identities
  • Working with triangles and trigonometry
    Law of Sines
    Ambiguous case
    Law of Cosines
    Areas of triangles
    Oblique triangles and practical applications
  • Complex numbers and polar coordinates
    Complex numbers and powers of i
    Operations on complex numbers
    Solving quadratic equations with complex roots
    Graphing complex numbers
    Graphing polar coordinates
    Graphing polar equations
  • Conic sections
    Conic sections
    Conic sections in parametric form and polar coordinates
  • Systems of equations and inequalities
    Systems of two linear equations
    Non-linear systems of two equations
    More than two linear equations or variables
    Graphing systems of inequalities
    Partial fractions
  • Sequences and series
    General sequences and series
    Summation notation
    Arithmetic sequences and series
    Geometric sequences and series
    Binomial theorem
  • Introducing limits and continuity
    Finding limits
    Operating on limits - limit laws

Practice problems cover such topics as

  • Solving equations and inequalities
  • Functions and inverse functions
  • Graphing and transforming functions
  • Essentials of trigonometry
  • Exponential and logarithmic functions
  • Complex numbers and polar coordinates
  • Sequences and series


This powerful online resource offers 1,001 practice problems to help you quickly and painlessly get a handle on all of the concepts in your pre-calculus course. Problems are ranked from easy to hard, and every one includes a detailed explanation and step-by-step solution. These practice problems cover all the essential topics, from absolute value and quadratic equations to logarithms and exponential functions to trig identities and matrix operations.