CLEP College Algebra Test Prep Course

Integers

• 1 Adding and Subtracting Integers
• 2 Multiplying and Dividing Integers
• 3 Order of Operations
• 4 Evaluation
• 5 Absolute Value

Fractions

• 6 Divisibility Rules
• 7 Factors and Primes
• 8 Prime Factorization
• 9 Multiples and Least Common Multiple
• 10 Greatest Common Factor
• 11 Adding and Subtracting Fractions
• 12 Multiplying and Dividing Fractions

Decimals

• 13 Understanding Decimals
• 14 Converting Decimals to Fractions
• 15 Converting Fractions to Decimals
• 16 Adding Decimals
• 17 Subtracting Decimals
• 18 Multiplying Decimals by Decimals
• 19 Dividing Decimals by Decimals
• 20 Powers of 10
• 21 Converting from Scientific to Standard Notation
• 22 Converting from Standard to Scientific Notation
• 23 Terminating and Repeating Decimals
• 24 Determining if a Number is Rational or Irrational

Expressions & equations

• 25 Recognizing Patterns
• 26 Combining Like Terms
• 27 Distributive Property
• 28 Distributive Property and Combining Like Terms
• 29 One-Step Equations
• 30 Two-Step Equations
• 31 Equations with Fractions
• 32 Equations Involving Distributive
• 33 Equations with Variable on Both Sides
• 34 Equations with Variable on Both Sides and Fractions
• 35 Equations with Variable on Both Sides and Distributive
• 36 Number Word Problems
• 37 Geometry Word Problems
• 38 Percent Word Problems
• 39 Motion Word Problems

Inequalities, absolute value, & functions

• 40 Solving and Graphing Inequalities
• 41 Combined Inequalities
• 42 Absolute Value Equations
• 43 Absolute Value Inequalities
• 44 The Coordinate System
• 45 Domain and Range
• 46 Definition of a Function
• 47 Function and Arrow Notation
• 48 Graphing within a Given Domain
• 49 Graphing Lines
• 50 The Intercept Method
• 51 Graphing Inequalities in Two Variables

Linear equations & systems of equations

• 52 Slope of a Line
• 53 Using Slope to Graph a Line
• 54 Slope Formula
• 55 Slope-Intercept Form
• 56 Converting to Slope-Intercept Form and Graphing
• 57 Writing Equations of Lines in Standard Form
• 58 Writing Equations of Lines Using the Point-Slope Formula
• 59 Writing Equations of Lines Given Two Points
• 60 Writing Equations of Parallel and Perpendicular Lines
• 61 Solving Systems by Graphing
• 62 Solving Systems by Addition
• 63 Solving Systems by Substitution
• 64 Number and Value Word Problems

Exponents & polynomials

• 65 The Product Rule
• 66 The Power Rule
• 67 The Quotient Rule
• 68 Numerical Bases and Exponents of Zero
• 69 Combining Exponent Rules
• 70 Multiplying Polynomials
• 71 F.O.I.L.
• 72 Advanced Multiplying Polynomials

Factoring

• 73 Greatest Common Factor
• 74 Factoring out the Greatest Common Factor
• 75 Factoring Trinomials with Positive Constants
• 76 Factoring Trinomials with Negative Constants
• 77 Difference of Two Squares
• 78 Factoring Trinomials with Lead Coefficients and Positive Constants
• 79 Factoring Trinomials with Lead Coefficients and Negative Constants
• 80 Factoring by Grouping
• 81 Factoring Completely
• 82 Beginning Polynomial Equations
• 83 Intermediate Polynomial Equations

Rational expressions & equations

• 84 Simplifying Rational Expressions
• 85 Multiplying and Dividing Rational Expressions
• 86 Rational Equations
• 87 Advanced Rational Equations

Radical expressions & equations

• 88 Simplifying Radicals
• 89 Multiplying Radicals
• 90 Dividing Radicals
• 91 Adding Radicals and FOILing with Radicals
• 92 Dividing Radicals Using Conjugates
• 93 Radical Equations
• 94 Advanced Radical Equations

Quadratic equations

• 95 Taking the Square Root of Both Sides
• 96 Completing The Square
• 97 Advanced Completing The Square
• 98 Quadratic Formula
• 99 Graphs of Quadratic Functions and Beginning Transformations
• 100 Graphs of Quadratic Functions and Advanced Transformations

Imaginary & complex numbers

• 101 Imaginary Numbers
• 102 Advanced Imaginary Numbers
• 103 Complex Numbers
• 104 Advanced Complex Numbers

Advanced quadratic functions

• 105 Understanding y - k = a(x - h)² Form
• 106 Graphing Quadratic Equations in y - k = a(x - h)² Form
• 107 Writing Quadratic Equations in y - k = a(x - h)² Form
• 108 Graphing Quadratic Functions

Ratio, proportion, & measurement

• 109 Introduction to Ratios
• 110 Introduction to Proportion
• 111 Solving Proportions
• 112 Proportion
• 113 Perimeter
• 114 Circumference
• 115 Area of Squares and Rectangles
• 116 Area of Triangles
• 117 Area of Parallelograms and Trapezoids
• 118 Area of a Circle
• 119 Surface Area
• 120 Volume of Prisms and Pyramids
• 121 Volume of Cylinders, Spheres, and Cones

Probability & statistics

• 122 Range, Median, and Mode
• 123 Mean
• 124 Central Tendency Word Problems
• 125 Simple Probability
• 126 Probability of Independent Events
• 127 Probability of Dependent Events
• 128 Tree Diagrams and the Counting Principle
• 129 Permutations
• 130 Combinations

Coordinate geometry

• 131 Distance Formula
• 132 Midpoint Formula
• 133 Equation of a Circle

Negative & rational exponents

• 134 Negative Exponents
• 135 Numerical Bases with Negative Exponents
• 136 Multiplying and Dividing with Negative Exponents
• 137 Multiplying and Dividing with Scientific Notation
• 138 Rational Exponents
• 139 Numerical Bases with Rational Exponents
• 140 Writing Radicals in Exponential Form
• 141 Solving Equations with Rational Exponents
• 142 Radical Exponents

Composite functions & inverses

• 143 Composite Functions: f(g(x)) and g(f(x))
• 144 Inverse Relations
• 145 Inverse Functions

Logarithms & exponential functions

• 146 Evaluating Logarithms and Logarithmic vs. Exponential Form
• 147 Solving Logarithmic Equations
• 148 Logarithm Rules and Properties
• 149 Evaluating Logarithms by Condensing or Expanding
• 150 Solving Advanced Logarithmic Equations
• 151 Logarithm Calculator Problems
• 152 Exponential Equations and Change of Base Formula
• 153 Exponential Growth and Decay
• 154 Half Life and Doubling Time Formulas
• 155 Natural Logarithms
• 156 Solving Natural Logarithm Equations with ln and e