MTEL Elementary Math Test Prep Course

Evaluating expressions

• 1 Exponents
• 2 Graphing and Writing Integers
• 3 Opposites and Absolute Value
• 4 Adding and Subtracting Integers
• 5 Multiplying and Dividing Integers
• 6 Order of Operations
• 7 Evaluation
• 8 Adding and Subtracting Fractions
• 9 Multiplying and Dividing Fractions
• 10 Absolute Value

Expressions, equations & formulas

• 11 Combining Like Terms
• 12 Distributive Property
• 13 Distributive Property and Combining Like Terms
• 14 One-Step Equations
• 15 Two-Step Equations
• 16 Equations with Fractions
• 17 Equations Involving Distributive
• 18 Equations with Variable on Both Sides
• 19 Equations with Variable on Both Sides and Fractions
• 20 Equations with Variable on Both Sides and Distributive
• 21 Literal Equations
• 22 Advanced Literal Equations

Proportions & percents

• 23 Solving Proportions
• 24 Proportion Word Problems
• 25 Fractions and Percents
• 26 Decimals and Percents
• 27 Percent Word Problems
• 28 Percent Increase or Decrease
• 29 Interest

Geometry

• 30 Points, Lines, Segments, and Rays
• 31 Classifying Lines
• 32 Angles
• 33 Measuring Angles
• 34 Complementary and Supplementary Angles
• 35 Angles of a Triangle
• 36 Sides of a Triangle
• 37 Polygons
• 38 Quadrilaterals
• 39 Circles
• 40 Classifying 3-Dimensional Figures
• 41 Nets
• 42 Congruent Figures
• 43 Similar Figures
• 44 Problem Solving with Similar Figures
• 45 Symmetry

Measurement

• 46 Customary Unit Conversions
• 47 Metric Unit Conversions
• 48 Units of Measurement
• 49 Perimeter
• 50 Circumference
• 51 Perimeter and Circumference Word Problems
• 52 Area of Squares and Rectangles
• 53 Area of Triangles
• 54 Area of Parallelograms and Trapezoids
• 55 Area of a Circle
• 56 Area Word Problems
• 57 Surface Area
• 58 Volume of Prisms and Pyramids
• 59 Volume of Cylinders, Spheres, and Cones
• 60 Surface Area and Volume Word Problems

Equations and word problems

• 61 Translating English to Algebra
• 62 Writing and Solving Multi-Step Equations
• 63 Number Word Problems
• 64 Geometry Word Problems
• 65 Motion Word Problems

Inequalities, absolute value, functions, and graphing

• 66 Solving and Graphing Inequalities
• 67 Combined Inequalities
• 68 Advanced Inequalities
• 69 Absolute Value Equations
• 70 Absolute Value Inequalities
• 71 The Coordinate Grid
• 72 Domain and Range
• 73 Definition of a Function
• 74 Function and Arrow Notation
• 75 Graphing within a Given Domain
• 76 Graphing Lines
• 77 The Intercept Method
• 78 Graphing Inequalities in Two Variables

Transformations

• 79 Transformations
• 80 Reflections
• 81 Translations
• 82 Rotations
• 83 Dilations

Linear equations in two variables

• 84 Slope as a Rate of Change
• 85 Slope of a Line
• 86 Using Slope to Graph a Line
• 87 Slope Formula
• 88 Using Slope Formula to Find Missing Coordinates
• 89 Slope-Intercept Form
• 90 Converting to Slope-Intercept Form and Graphing
• 91 Linear Parent Graph and Transformations
• 92 Writing Equations of Lines
• 93 Writing Equations of Lines Using Tables
• 94 Writing Equations of Lines in Standard Form
• 95 Writing Equations of Lines Using the Point-Slope Formula
• 96 Writing Equations of Lines Given Two Points
• 97 Writing Equations of Parallel and Perpendicular Lines
• 98 Direct Variation
• 99 Applications of Direct Variation and Linear Functions

Systems of linear equations

• 100 Solving Systems by Graphing
• 101 Solving Systems by Addition
• 102 Solving Systems by Substitution
• 103 Systems of Equations with Fractions and Method of Choice
• 104 Number and Value Word Problems
• 105 Wind and Current Word Problems

Exponents and polynomials

• 106 The Product Rule
• 107 The Power Rule
• 108 The Quotient Rule
• 109 Numerical Bases and Exponents of Zero
• 110 Combining Exponent Rules
• 111 Converting from Scientific to Standard Notation
• 112 Converting from Standard to Scientific Notation
• 113 Multiplying Polynomials
• 114 F.O.I.L.
• 115 Advanced Multiplying Polynomials

Factoring and polynomial equations

• 116 Greatest Common Factor
• 117 Factoring out the Greatest Common Factor
• 118 Factoring Trinomials with Positive Constants
• 119 Factoring Trinomials with Negative Constants
• 120 Difference of Two Squares
• 121 Factoring Trinomials with Lead Coefficients and Positive Constants
• 122 Factoring Trinomials with Lead Coefficients and Negative Constants
• 123 Factoring by Grouping
• 124 Factoring Completely
• 125 Advanced Factoring Completely
• 126 Beginning Polynomial Equations
• 127 Intermediate Polynomial Equations

Rational expressions and equations

• 128 Simplifying Rational Expressions
• 129 Multiplying and Dividing Rational Expressions
• 130 Adding Rational Expressions
• 131 Subtracting Rational Expressions
• 132 Complex Fractions
• 133 Rational Equations
• 134 Advanced Rational Equations
• 135 Inverse Variation

Radical expressions and equations

• 136 Simplifying Radicals
• 137 Multiplying Radicals
• 138 Dividing Radicals
• 139 Adding and Subtracting Square Roots
• 140 Adding Radicals and FOILing with Radicals
• 141 Dividing Radicals Using Conjugates
• 142 Radical Equations
• 143 Advanced Radical Equations

Quadratic equations

• 144 Graphs of Quadratic Functions and Beginning Transformations
• 145 Graphs of Quadratic Functions and Advanced Transformations
• 146 Taking the Square Root of Both Sides
• 147 Completing The Square
• 148 Quadratic Formula
• 149 Pythagorean Theorem
• 150 Pythagorean Triples

Imaginary and complex numbers

• 151 Imaginary Numbers
• 152 Advanced Imaginary Numbers
• 153 Complex Numbers
• 154 Advanced Complex Numbers

Quadratic functions

• 155 Understanding y - k = a(x - h)² Form
• 156 Graphing Quadratic Equations in y - k = a(x - h)² Form
• 157 Writing Quadratic Equations in y - k = a(x - h)² Form
• 158 Graphing Quadratic Functions

Statistics and probability

• 159 Pictographs and Line Plots
• 160 Bar Graphs
• 161 Line Graphs
• 162 Circle Graphs
• 163 Stem-and-Leaf Plots and Frequency Charts
• 164 Histograms
• 165 Scatterplots and Trends
• 166 Range, Median, and Mode
• 167 Box-and-Whisker Plots
• 168 Mean
• 169 Central Tendency Word Problems
• 170 Simple Probability
• 171 Probability of Independent Events
• 172 Probability of Dependent Events
• 173 Tree Diagrams and the Counting Principle
• 174 Permutations
• 175 Combinations

Coordinate geometry

• 176 Distance Formula
• 177 Midpoint Formula
• 178 Equation of a Circle

Negative & rational exponents

• 179 Negative Exponents
• 180 Numerical Bases with Negative Exponents
• 181 Multiplying and Dividing with Negative Exponents
• 182 Multiplying and Dividing with Scientific Notation
• 183 Rational Exponents
• 184 Numerical Bases with Rational Exponents
• 185 Writing Radicals in Exponential Form
• 186 Solving Equations with Rational Exponents
• 187 Radical Exponents