MTEL Elementary Math Test Prep Course

Whole numbers and properties

• 1 Place Value
• 2 Comparing Numbers
• 3 Rounding Numbers
• 4 Estimating Sums and Differences
• 5 Addition and Subtraction Word Problems
• 6 Exponents
• 7 Estimating Products and Quotients
• 8 Multiplication and Division Word Problems
• 9 Variables
• 10 Addition Properties
• 11 Multiplication Properties

Integers and evaluating expressions

• 12 Graphing and Writing Integers
• 13 Comparing Integers
• 14 Adding and Subtracting Integers
• 15 Multiplying and Dividing Integers
• 16 Integer Word Problems
• 17 Order of Operations
• 18 Evaluation
• 19 Absolute Value

Understanding fractions

• 20 Divisibility Rules
• 21 Factors and Primes
• 22 Prime Factorization
• 23 Multiples and Least Common Multiple
• 24 Greatest Common Factor
• 25 Introduction to Fractions
• 26 Equivalent Fractions (Part I)
• 27 Reducing Fractions to Lowest Terms
• 28 Equivalent Fractions (Part II)
• 29 Improper Fractions and Mixed Numbers
• 30 Comparing Proper Fractions
• 31 Comparing Mixed Numbers and Improper Fractions
• 32 Comparing Fractions Word Problems
• 33 Adding and Subtracting Like Fractions
• 34 Adding and Subtracting Unlike Fractions
• 35 Adding Mixed Numbers
• 36 Subtracting Mixed Numbers
• 37 Multiplying Fractions
• 38 Multiplying Mixed Numbers
• 39 Dividing Fractions
• 40 Dividing Mixed Numbers
• 41 Adding and Subtracting Fractions
• 42 Multiplying and Dividing Fractions

Decimals

• 43 Understanding Decimals
• 44 Converting Decimals to Fractions
• 45 Converting Fractions to Decimals
• 46 Comparing Decimals
• 47 Rounding Decimals
• 48 Estimating Sums and Differences of Decimals
• 49 Adding and Subtracting Decimals Word Problems
• 50 Multiplying and Dividing Decimals Word Problems
• 51 Powers of 10
• 52 Converting from Scientific to Standard Notation
• 53 Converting from Standard to Scientific Notation
• 54 Terminating and Repeating Decimals
• 55 Determining if a Number is Rational or Irrational

Simplifying expressions & solving equations

• 56 Recognizing Patterns
• 57 Combining Like Terms
• 58 Distributive Property
• 59 Distributive Property and Combining Like Terms
• 60 One-Step Equations
• 61 Two-Step Equations
• 62 Equations with Fractions
• 63 Equations Involving Distributive
• 64 Equations with Variable on Both Sides
• 65 Equations with Variable on Both Sides and Distributive
• 66 Literal Equations

Ratio, proportion, & percent

• 67 Introduction to Ratios
• 68 Equal Ratios
• 69 Unit Rate
• 70 Unit Price
• 71 Introduction to Proportion
• 72 Solving Proportions
• 73 Proportion Word Problems
• 74 Understanding Percents
• 75 Fractions and Percents
• 76 Decimals and Percents
• 77 Percent Word Problems
• 78 Percent Increase or Decrease
• 79 Discount
• 80 Sales Tax
• 81 Interest

Word problems

• 82 Translating English to Algebra
• 83 Number Word Problems
• 84 Consecutive Integer Word Problems
• 85 Geometry Word Problems
• 86 Value Word Problems
• 87 Interest Word Problems
• 88 Mixture Word Problems
• 89 Motion Word Problems

Inequalities and absolute value

• 90 Solving and Graphing Inequalities
• 91 Combined Inequalities
• 92 Advanced Inequalities
• 93 Absolute Value Equations
• 94 Absolute Value Inequalities

Graphing, symmetry, and transformations

• 95 The Coordinate Grid
• 96 Symmetry
• 97 Transformations
• 98 Reflections
• 99 Translations
• 100 Rotations
• 101 Dilations

Functions and graphing

• 102 Domain and Range
• 103 Definition of a Function
• 104 Function and Arrow Notation
• 105 Graphing within a Given Domain
• 106 Graphing Lines
• 107 The Intercept Method
• 108 Graphing Inequalities in Two Variables

Linear equations and functions

• 109 Patterns and Table Building
• 110 Word Problems and Table Building
• 111 Slope as a Rate of Change
• 112 Slope of a Line
• 113 Slope Formula
• 114 Slope-Intercept Form
• 115 Converting to Slope-Intercept Form and Graphing
• 116 Linear Parent Graph and Transformations
• 117 Writing Equations of Lines
• 118 Writing Equations of Lines Using Tables
• 119 Direct Variation
• 120 Writing Equations of Lines in Standard Form
• 121 Writing Equations of Lines Using the Point-Slope Formula
• 122 Writing Equations of Lines Given Two Points
• 123 Writing Equations of Parallel and Perpendicular Lines

Systems of linear equations

• 124 Solving Systems by Graphing
• 125 Solving Systems by Addition
• 126 Solving Systems by Substitution
• 127 Number and Value Word Problems
• 128 Wind and Current Word Problems

Exponents and polynomials

• 129 The Product Rule
• 130 The Power Rule
• 131 The Quotient Rule
• 132 Numerical Bases and Exponents of Zero
• 133 Combining Exponent Rules
• 134 Multiplying Polynomials
• 135 F.O.I.L.
• 136 Advanced Multiplying Polynomials

Factoring

• 137 Greatest Common Factor
• 138 Factoring out the Greatest Common Factor
• 139 Factoring Trinomials with Positive Constants
• 140 Factoring Trinomials with Negative Constants
• 141 Difference of Two Squares
• 142 Factoring Trinomials with Lead Coefficients and Positive Constants
• 143 Factoring Trinomials with Lead Coefficients and Negative Constants
• 144 Factoring Completely
• 145 Factoring by Grouping
• 146 Beginning Polynomial Equations
• 147 Intermediate Polynomial Equations

Rational expressions and equations

• 148 Simplifying Rational Expressions
• 149 Multiplying and Dividing Rational Expressions
• 150 Adding Rational Expressions
• 151 Subtracting Rational Expressions
• 152 Complex Fractions
• 153 Rational Equations
• 154 Advanced Rational Equations
• 155 Inverse Variation

Radical expressions and equations

• 156 Square Roots
• 157 Simplifying Radicals
• 158 Multiplying Radicals
• 159 Dividing Radicals
• 160 Adding Radicals and FOILing with Radicals
• 161 Dividing Radicals Using Conjugates
• 162 Radical Equations
• 163 Advanced Radical Equations

Quadratic equations

• 164 Linear or Quadratic Functions
• 165 Graphs of Quadratic Functions and Beginning Transformations
• 166 Graphs of Quadratic Functions and Advanced Transformations
• 167 Taking the Square Root of Both Sides
• 168 Completing The Square
• 169 Advanced Completing The Square
• 170 Quadratic Formula

Imaginary and complex numbers

• 171 Imaginary Numbers
• 172 Advanced Imaginary Numbers
• 173 Complex Numbers

Quadratic functions and graphing

• 174 Understanding y - k = a(x - h)² Form
• 175 Graphing Quadratic Equations in y - k = a(x - h)² Form
• 176 Writing Quadratic Equations in y - k = a(x - h)² Form
• 177 Graphing Quadratic Functions

Introduction to geometry

• 178 Points, Lines, Planes, and Space
• 179 Segments, Rays, and Length
• 180 Segment Addition Postulate and Midpoint
• 181 Angles and Measure
• 182 Angle Addition Postulate and Angle Bisector
• 183 Inductive vs. Deductive Reasoning
• 184 Conditional Statements
• 185 Properties
• 186 Algebra Proofs with Properties
• 187 Geometry Proofs with Midpoints and Angle Bisectors

Angle pairs and perpendicular lines

• 188 Complementary and Supplementary Angles
• 189 Vertical Angles
• 190 Problems Involving Perpendicular Lines
• 191 Theorems Involving Perpendicular Lines

Parallel lines and polygons

• 192 Parallel Lines Vocabulary
• 193 Given Lines are Parallel
• 194 Proving Lines are Parallel
• 195 Triangle Vocabulary and Triangle Sum Theorem
• 196 Triangle Word Problems and Exterior Angle Theorem
• 197 Polygon Vocabulary
• 198 Sum of Interior and Exterior Angles of a Polygon
• 199 Regular Polygons

Triangles and congruence

• 200 Congruent Figures
• 201 Proving Triangles are Congruent by SSS, SAS, and ASA
• 202 Isosceles Triangle Theorems
• 203 Proving Triangles are Congruent by AAS and HL
• 204 Medians, Altitudes, and Perpendicular Bisectors

Quadrilaterals

• 205 Properties of Parallelograms
• 206 Proving a Quadrilateral is a Parallelogram
• 207 More Parallel Line Theorems
• 208 Rectangles, Rhombuses, and Squares
• 209 Trapezoids

Similarity

• 210 Ratio
• 211 Proportion
• 212 Properties of Similar Polygons
• 213 Angle-Angle Similarity Postulate
• 214 Similarity Word Problems
• 215 SSS and SAS Similarity Theorems
• 216 Triangle Proportionality and Triangle Angle-Bisector Theorems

Right triangles

• 217 Pythagorean Theorem
• 218 Pythagorean Theorem Word Problems
• 219 Converse of the Pythagorean Theorem
• 220 30-60-90 and 45-45-90 Degree Triangles
• 221 Sine, Cosine, and Tangent
• 222 Sine, Cosine, and Tangent with a Calculator
• 223 Trigonometry Word Problems

Circles

• 224 Circle Vocabulary
• 225 Tangents
• 226 Arcs and Central Angles
• 227 Arcs and Chords
• 228 Inscribed Angles
• 229 Angles Formed by Chords, Secants, and Tangents
• 230 Circle Segment Lengths

Measurement and area

• 231 Customary Unit Conversions
• 232 Metric Unit Conversions
• 233 Units of Measurement
• 234 Area of Rectangles and Squares
• 235 Advanced Area of Rectangles and Squares
• 236 Area of Parallelograms
• 237 Area of Triangles
• 238 Area of Rhombuses
• 239 Area of Trapezoids
• 240 Area of Regular Polygons
• 241 Area and Circumference of Circles

Volume

• 242 Classifying 3-Dimensional Figures
• 243 Nets
• 244 Area and Volume of Prisms
• 245 Advanced Area and Volume of Prisms
• 246 Area and Volume of Pyramids
• 247 Advanced Area and Volume of Pyramids
• 248 Area and Volume of Cylinders and Cones
• 249 Area and Volume of Spheres

Data and statistics

• 250 Pictographs and Line Plots
• 251 Bar Graphs
• 252 Line Graphs
• 253 Circle Graphs
• 254 Stem-and-Leaf Plots and Frequency Charts
• 255 Histograms
• 256 Scatterplots and Trends
• 257 Range, Median, and Mode
• 258 Box-and-Whisker Plots
• 259 Mean
• 260 Central Tendency Word Problems
• 261 Simple Probability
• 262 Experimental Probability
• 263 Probability of Independent Events
• 264 Probability of Dependent Events
• 265 Simulations
• 266 Tree Diagrams and the Counting Principle
• 267 Permutations
• 268 Combinations

Coordinate geometry

• 269 Distance Formula
• 270 Midpoint Formula
• 271 Equation of a Circle

Negative & rational exponents

• 272 Negative Exponents
• 273 Numerical Bases with Negative Exponents
• 274 Multiplying and Dividing with Negative Exponents
• 275 Multiplying and Dividing with Scientific Notation
• 276 Rational Exponents
• 277 Numerical Bases with Rational Exponents
• 278 Writing Radicals in Exponential Form
• 279 Solving Equations with Rational Exponents
• 280 Radical Exponents

Composite functions & inverses

• 281 Composite Functions: f(g(x)) and g(f(x))
• 282 Inverse Relations
• 283 Inverse Functions

Logarithms & exponential functions

• 284 Evaluating Logarithms and Logarithmic vs. Exponential Form
• 285 Solving Logarithmic Equations
• 286 Logarithm Rules and Properties
• 287 Evaluating Logarithms by Condensing or Expanding
• 288 Solving Advanced Logarithmic Equations
• 289 Logarithm Calculator Problems
• 290 Exponential Equations and Change of Base Formula
• 291 Exponential Growth and Decay
• 292 Half Life and Doubling Time Formulas
• 293 Natural Logarithms
• 294 Solving Natural Logarithm Equations with ln and e

Additional concepts

• 295 Systems of Inequalities
• 296 Quadratic Word Problems
• 297 Adding and Subtracting Polynomials
• 298 Polynomial Long Division