MTEL Middle School Math Test Prep Course

Whole numbers and properties

• 1 Place Value
• 2 Rounding Numbers
• 3 Estimating Sums and Differences
• 4 Exponents
• 5 Estimating Products and Quotients
• 6 Variables
• 7 Field Properties

Integers and evaluating expressions

• 8 Graphing and Writing Integers
• 9 Comparing Integers
• 10 Opposites and Absolute Value
• 11 Adding and Subtracting Integers
• 12 Multiplying and Dividing Integers
• 13 Integer Word Problems
• 14 Order of Operations
• 15 Evaluation
• 16 Absolute Value

Understanding fractions

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

Decimals

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

Simplifying expressions & solving equations

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

Ratio, proportion, and percent

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

Word problems

• 81 Translating English to Algebra
• 82 Writing and Solving Multi-Step Equations
• 83 Number Word Problems
• 84 Value Word Problems

Inequalities and absolute value

• 85 Solving and Graphing Inequalities
• 86 Combined Inequalities
• 87 Advanced Inequalities
• 88 Absolute Value Equations
• 89 Absolute Value Inequalities

Graphing and transformations

• 90 The Coordinate Grid
• 91 Transformations
• 92 Reflections
• 93 Translations
• 94 Rotations
• 95 Symmetry
• 96 Dilations

Functions and graphing

• 97 Domain and Range
• 98 Definition of a Function
• 99 Function and Arrow Notation
• 100 Graphing within a Given Domain
• 101 Graphing Lines
• 102 The Intercept Method
• 103 Graphing Inequalities in Two Variables

Linear equations and functions

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

Systems of linear equations and inequalities

• 121 Solving Systems by Graphing
• 122 Solving Systems by Addition
• 123 Solving Systems by Substitution
• 124 Number and Value Word Problems
• 125 Systems of Inequalities

Exponents and polynomials

• 126 The Product Rule
• 127 The Power Rule
• 128 The Quotient Rule
• 129 Numerical Bases and Exponents of Zero
• 130 F.O.I.L.

Factoring and polynomial equations

• 131 Greatest Common Factor
• 132 Factoring out the Greatest Common Factor
• 133 Factoring Trinomials with Positive Constants
• 134 Factoring Trinomials with Negative Constants
• 135 Difference of Two Squares
• 136 Factoring Trinomials with Lead Coefficients and Positive Constants
• 137 Factoring Trinomials with Lead Coefficients and Negative Constants
• 138 Factoring Completely
• 139 Beginning Polynomial Equations
• 140 Intermediate Polynomial Equations

Rational expressions and equations

• 141 Simplifying Rational Expressions
• 142 Multiplying and Dividing Rational Expressions
• 143 Adding Rational Expressions
• 144 Subtracting Rational Expressions
• 145 Rational Equations
• 146 Advanced Rational Equations
• 147 Inverse Variation

Radical expresions and equations

• 148 Simplifying Radicals
• 149 Multiplying Radicals
• 150 Dividing Radicals
• 151 Adding Radicals and FOILing with Radicals
• 152 Dividing Radicals Using Conjugates
• 153 Radical Equations
• 154 Advanced Radical Equations

Quadratic equations

• 155 Graphs of Quadratic Functions and Beginning Transformations
• 156 Graphs of Quadratic Functions and Advanced Transformations
• 157 Taking the Square Root of Both Sides
• 158 Completing The Square
• 159 Quadratic Formula

Imaginary and complex numbers

• 160 Imaginary Numbers
• 161 Advanced Imaginary Numbers
• 162 Complex Numbers

Quadratic functions and graphing

• 163 Understanding y - k = a(x - h)² Form
• 164 Graphing Quadratic Equations in y - k = a(x - h)² Form
• 165 Writing Quadratic Equations in y - k = a(x - h)² Form
• 166 Graphing Quadratic Functions

Integer and rational exponents

• 167 Negative Exponents
• 168 Numerical Bases with Negative Exponents
• 169 Multiplying and Dividing with Negative Exponents
• 170 Multiplying and Dividing with Scientific Notation
• 171 Rational Exponents
• 172 Numerical Bases with Rational Exponents
• 173 Writing Radicals in Exponential Form
• 174 Solving Equations with Rational Exponents

Composite functions and inverses

• 175 Composite Functions: f(g(x)) and g(f(x))
• 176 Inverse Relations
• 177 Inverse Functions

Logarithms and exponential functions

• 178 Evaluating Logarithms and Logarithmic vs. Exponential Form
• 179 Solving Logarithmic Equations
• 180 Logarithm Rules and Properties
• 181 Evaluating Logarithms by Condensing or Expanding
• 182 Solving Advanced Logarithmic Equations
• 183 Logarithm Calculator Problems
• 184 Exponential Equations and Change of Base Formula
• 185 Exponential Growth and Decay
• 186 Half Life and Doubling Time Formulas
• 187 Natural Logarithms
• 188 Solving Natural Logarithm Equations with ln and e

Introduction to geometry

• 189 Points, Lines, Planes, and Space
• 190 Segments, Rays, and Length
• 191 Segment Addition Postulate and Midpoint
• 192 Angles and Measure
• 193 Angle Addition Postulate and Angle Bisector
• 194 Inductive vs. Deductive Reasoning
• 195 Conditional Statements
• 196 Properties
• 197 Algebra Proofs with Properties
• 198 Geometry Proofs with Midpoints and Angle Bisectors

Angle pairs and perpendicular lines

• 199 Complementary and Supplementary Angles
• 200 Vertical Angles
• 201 Problems Involving Perpendicular Lines
• 202 Theorems Involving Perpendicular Lines

Parallel lines and polygons

• 203 Parallel Lines Vocabulary
• 204 Given Lines are Parallel
• 205 Proving Lines are Parallel
• 206 Triangle Vocabulary and Triangle Sum Theorem
• 207 Triangle Word Problems and Exterior Angle Theorem
• 208 Polygon Vocabulary
• 209 Sum of Interior and Exterior Angles of a Polygon
• 210 Regular Polygons

Triangles and congruence

• 211 Congruent Figures
• 212 Proving Triangles are Congruent by SSS, SAS, and ASA
• 213 Isosceles Triangle Theorems
• 214 Proving Triangles are Congruent by AAS and HL
• 215 Medians, Altitudes, and Perpendicular Bisectors

Quadrilaterals

• 216 Properties of Parallelograms
• 217 Proving a Quadrilateral is a Parallelogram
• 218 More Parallel Line Theorems
• 219 Rectangles, Rhombuses, and Squares
• 220 Trapezoids

Similarity

• 221 Proportion
• 222 Properties of Similar Polygons
• 223 Angle-Angle Similarity Postulate
• 224 Similarity Word Problems
• 225 SSS and SAS Similarity Theorems
• 226 Triangle Proportionality and Triangle Angle-Bisector Theorems

Right triangles

• 227 Pythagorean Theorem
• 228 Pythagorean Theorem Word Problems
• 229 Converse of the Pythagorean Theorem
• 230 30-60-90 and 45-45-90 Degree Triangles
• 231 Sine, Cosine, and Tangent
• 232 Sine, Cosine, and Tangent with a Calculator
• 233 Trigonometry Word Problems

Circles

• 234 Circle Vocabulary
• 235 Tangents
• 236 Arcs and Central Angles
• 237 Arcs and Chords
• 238 Inscribed Angles
• 239 Angles Formed by Chords, Secants, and Tangents
• 240 Circle Segment Lengths

Coordinate geometry

• 241 Distance Formula
• 242 Midpoint Formula
• 243 Equation of a Circle

Measurement and area

• 244 Customary Unit Conversions
• 245 Metric Unit Conversions
• 246 Units of Measurement
• 247 Area of Rectangles and Squares
• 248 Advanced Area of Rectangles and Squares
• 249 Area of Parallelograms
• 250 Area of Triangles
• 251 Area of Rhombuses
• 252 Area of Trapezoids
• 253 Area of Regular Polygons
• 254 Area and Circumference of Circles

Volume & surface area

• 255 Classifying 3-Dimensional Figures
• 256 Nets
• 257 Area and Volume of Prisms
• 258 Advanced Area and Volume of Prisms
• 259 Area and Volume of Pyramids
• 260 Advanced Area and Volume of Pyramids
• 261 Area and Volume of Cylinders and Cones
• 262 Area and Volume of Spheres

Data and statistics

• 263 Bar Graphs
• 264 Line Graphs
• 265 Circle Graphs
• 266 Stem-and-Leaf Plots and Frequency Charts
• 267 Histograms
• 268 Scatterplots and Trends
• 269 Range, Median, and Mode
• 270 Box-and-Whisker Plots
• 271 Mean
• 272 Central Tendency Word Problems
• 273 Simple Probability
• 274 Experimental Probability
• 275 Probability of Independent Events
• 276 Probability of Dependent Events
• 277 Tree Diagrams and the Counting Principle
• 278 Permutations
• 279 Combinations