NCDAP Math Test Prep Course

Integers, exponents, and order of operations

• 1 Exponents
• 2 Graphing and Writing Integers
• 3 Comparing Integers
• 4 Opposites and Absolute Value
• 5 Adding Integers
• 6 Subtracting Integers
• 7 Multiplying Integers
• 8 Dividing Integers
• 9 Integer Word Problems
• 10 Order of Operations
• 11 Absolute Value

Fractions

• 12 Multiples and Least Common Multiple
• 13 Greatest Common Factor
• 14 Introduction to Fractions
• 15 Equivalent Fractions (Part I)
• 16 Reducing Fractions to Lowest Terms
• 17 Equivalent Fractions (Part II)
• 18 Improper Fractions and Mixed Numbers
• 19 Comparing Proper Fractions
• 20 Comparing Mixed Numbers and Improper Fractions
• 21 Comparing Fractions Word Problems
• 22 Adding and Subtracting Like Fractions
• 23 Adding and Subtracting Unlike Fractions
• 24 Adding Mixed Numbers
• 25 Subtracting Mixed Numbers
• 26 Multiplying Fractions
• 27 Multiplying Mixed Numbers
• 28 Dividing Fractions
• 29 Dividing Mixed Numbers

Decimals

• 30 Understanding Decimals
• 31 Converting Decimals to Fractions
• 32 Converting Fractions to Decimals
• 33 Comparing Decimals
• 34 Rounding Decimals
• 35 Decimal Word Problems
• 36 Estimating Sums and Differences of Decimals
• 37 Adding Decimals
• 38 Subtracting Decimals
• 39 Adding and Subtracting Decimals Word Problems
• 40 Multiplying Decimals by Whole Numbers
• 41 Multiplying Decimals by Decimals
• 42 Dividing Decimals by Whole Numbers
• 43 Dividing Decimals by Decimals
• 44 Multiplying and Dividing Decimals Word Problems
• 45 Powers of 10
• 46 Converting from Scientific to Standard Notation
• 47 Converting from Standard to Scientific Notation
• 48 Terminating and Repeating Decimals
• 49 Determining if a Number is Rational or Irrational

Algebraic expressions

• 50 Variables
• 51 Evaluation
• 52 Combining Like Terms
• 53 Distributive Property
• 54 Distributive Property and Combining Like Terms

Linear equations in one variable

• 55 One-Step Equations
• 56 Two-Step Equations
• 57 Equations with Fractions
• 58 Equations Involving Distributive
• 59 Equations with Variable on Both Sides
• 60 Equations with Variable on Both Sides and Fractions
• 61 Equations with Variable on Both Sides and Distributive
• 62 Equations with Decimals
• 63 Equations with Decimals and Decimal Solutions
• 64 Equations with Fraction Solutions
• 65 Literal Equations
• 66 Advanced Literal Equations

Ratios, proportions, and percents

• 67 Introduction to Ratios
• 68 Unit Rate
• 69 Unit Price
• 70 Introduction to Proportion
• 71 Solving Proportions
• 72 Proportion Word Problems
• 73 Fractions and Percents
• 74 Decimals and Percents
• 75 Percent Increase or Decrease
• 76 Interest

Geometry

• 77 Points, Lines, Segments, and Rays
• 78 Classifying Lines
• 79 Angles
• 80 Measuring Angles
• 81 Complementary and Supplementary Angles
• 82 Angles of a Triangle
• 83 Sides of a Triangle
• 84 Polygons
• 85 Quadrilaterals
• 86 Circles
• 87 Classifying 3-Dimensional Figures
• 88 Congruent Figures
• 89 Similar Figures
• 90 Problem Solving with Similar Figures
• 91 Symmetry

Measurement

• 92 Customary Unit Conversions
• 93 Metric Unit Conversions
• 94 Units of Measurement
• 95 Perimeter
• 96 Circumference
• 97 Perimeter and Circumference Word Problems
• 98 Area of Squares and Rectangles
• 99 Area of Triangles
• 100 Area of Parallelograms and Trapezoids
• 101 Area of a Circle
• 102 Area Word Problems
• 103 Surface Area
• 104 Volume of Prisms and Pyramids
• 105 Volume of Cylinders, Spheres, and Cones
• 106 Surface Area and Volume Word Problems

Solving word problems

• 107 Translating English to Algebra
• 108 Number Word Problems
• 109 Consecutive Integer Word Problems
• 110 Geometry Word Problems
• 111 Percent Word Problems
• 112 Interest Word Problems
• 113 Motion Word Problems

Inequalities, absolute value, functions, graphing

• 114 Solving and Graphing Inequalities
• 115 Combined Inequalities
• 116 Advanced Inequalities
• 117 Absolute Value Equations
• 118 Absolute Value Inequalities
• 119 The Coordinate Grid
• 120 Domain and Range
• 121 Definition of a Function
• 122 Function and Arrow Notation
• 123 Graphing within a Given Domain
• 124 Graphing Lines
• 125 The Intercept Method
• 126 Graphing Inequalities in Two Variables

Transformations

• 127 Transformations
• 128 Reflections
• 129 Translations
• 130 Rotations
• 131 Dilations

Linear equations in two variables

• 132 Slope as a Rate of Change
• 133 Slope of a Line
• 134 Using Slope to Graph a Line
• 135 Slope Formula
• 136 Slope-Intercept Form
• 137 Converting to Slope-Intercept Form and Graphing
• 138 Linear Parent Graph and Transformations
• 139 Interpreting Graphs
• 140 Writing Equations of Lines
• 141 Writing Equations of Lines Using Tables
• 142 Writing Equations of Lines in Standard Form
• 143 Writing Equations of Lines Using the Point-Slope Formula
• 144 Writing Equations of Lines Given Two Points
• 145 Writing Equations of Parallel and Perpendicular Lines
• 146 Direct Variation
• 147 Applications of Direct Variation and Linear Functions

Systems of linear equations in two variables

• 148 Solving Systems by Graphing
• 149 Solving Systems by Addition
• 150 Solving Systems by Substitution
• 151 Systems of Equations with Fractions and Method of Choice
• 152 Number and Value Word Problems
• 153 Wind and Current Word Problems

Exponents and polynomials

• 154 The Product Rule
• 155 The Power Rule
• 156 The Quotient Rule
• 157 Numerical Bases and Exponents of Zero
• 158 Combining Exponent Rules
• 159 Multiplying Polynomials
• 160 F.O.I.L.
• 161 Advanced Multiplying Polynomials

Factoring polynomials

• 162 Greatest Common Factor
• 163 Factoring out the Greatest Common Factor
• 164 Factoring Trinomials with Positive Constants
• 165 Factoring Trinomials with Negative Constants
• 166 Difference of Two Squares
• 167 Factoring Trinomials with Lead Coefficients and Positive Constants
• 168 Factoring Trinomials with Lead Coefficients and Negative Constants
• 169 Factoring by Grouping
• 170 Factoring Completely
• 171 Beginning Polynomial Equations
• 172 Intermediate Polynomial Equations

Rational expressions and equations

• 173 Simplifying Rational Expressions
• 174 Multiplying and Dividing Rational Expressions
• 175 Adding Rational Expressions
• 176 Subtracting Rational Expressions
• 177 Complex Fractions
• 178 Rational Equations
• 179 Advanced Rational Equations
• 180 Inverse Variation

Radical expressions and equations

• 181 Simplifying Square Roots
• 182 Multiplying Square Roots
• 183 Dividing Square Roots
• 184 Adding and Subtracting Square Roots
• 185 Simplifying Radicals
• 186 Multiplying Radicals
• 187 Dividing Radicals
• 188 Adding Radicals and FOILing with Radicals
• 189 Dividing Radicals Using Conjugates
• 190 Radical Equations
• 191 Advanced Radical Equations

Beginning quadratics

• 192 Graphs of Quadratic Functions and Beginning Transformations
• 193 Graphs of Quadratic Functions and Advanced Transformations
• 194 Solving Quadratic Equations by Graphing
• 195 Taking the Square Root of Both Sides
• 196 Completing The Square
• 197 Quadratic Formula
• 198 Pythagorean Theorem
• 199 Pythagorean Triples

Imaginary and complex numbers

• 200 Imaginary Numbers
• 201 Advanced Imaginary Numbers
• 202 Complex Numbers
• 203 Advanced Complex Numbers

Quadratic equations and functions

• 204 Understanding y - k = a(x - h)² Form
• 205 Graphing Quadratic Equations in y - k = a(x - h)² Form
• 206 Writing Quadratic Equations in y - k = a(x - h)² Form
• 207 Graphing Quadratic Functions
• 208 Sum and Product of Roots Formula
• 209 Writing Quadratic Functions

Data and statistics

• 210 Pictographs and Line Plots
• 211 Bar Graphs
• 212 Line Graphs
• 213 Circle Graphs
• 214 Stem-and-Leaf Plots and Frequency Charts
• 215 Histograms
• 216 Scatterplots and Trends
• 217 Range, Median, and Mode
• 218 Box-and-Whisker Plots
• 219 Mean
• 220 Central Tendency Word Problems

Negative & rational exponents

• 221 Negative Exponents
• 222 Numerical Bases with Negative Exponents
• 223 Multiplying and Dividing with Negative Exponents
• 224 Multiplying and Dividing with Scientific Notation
• 225 Rational Exponents
• 226 Numerical Bases with Rational Exponents
• 227 Writing Radicals in Exponential Form
• 228 Solving Equations with Rational Exponents