MTLE Middle Level Math Test Prep Course

Exponents and properties of real numbers

• 1 Exponents
• 2 Addition Properties
• 3 Multiplication Properties

Integers and evaluating expressions

• 4 Graphing and Writing Integers
• 5 Comparing Integers
• 6 Adding and Subtracting Integers
• 7 Multiplying and Dividing Integers
• 8 Order of Operations
• 9 Evaluation
• 10 Absolute Value

Understanding fractions

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

Decimals

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

Simplifying expressions & solving equations

• 47 Combining Like Terms
• 48 Distributive Property
• 49 Distributive Property and Combining Like Terms
• 50 One-Step Equations
• 51 Two-Step Equations
• 52 Equations with Fractions
• 53 Equations Involving Distributive
• 54 Equations with Variable on Both Sides
• 55 Equations with Variable on Both Sides and Distributive
• 56 Literal Equations
• 57 Advanced Literal Equations

Ratio, proportion, & percent

• 58 Introduction to Ratios
• 59 Equal Ratios
• 60 Unit Rate
• 61 Unit Price
• 62 Introduction to Proportion
• 63 Solving Proportions
• 64 Proportion Word Problems
• 65 Understanding Percents
• 66 Fractions and Percents
• 67 Decimals and Percents
• 68 Percent Word Problems
• 69 Percent Increase or Decrease
• 70 Discount
• 71 Sales Tax
• 72 Interest

Word problems

• 73 Number Word Problems
• 74 Consecutive Integer Word Problems
• 75 Geometry Word Problems
• 76 Interest Word Problems
• 77 Mixture Word Problems
• 78 Motion Word Problems

Inequalities and absolute value

• 79 Solving and Graphing Inequalities
• 80 Combined Inequalities
• 81 Advanced Inequalities
• 82 Absolute Value Equations
• 83 Absolute Value Inequalities

Graphing and transforamtions

• 84 The Coordinate Grid
• 85 Transformations
• 86 Reflections
• 87 Translations
• 88 Rotations
• 89 Dilations

Functions and graphing

• 90 Domain and Range
• 91 Definition of a Function
• 92 Function and Arrow Notation
• 93 Graphing within a Given Domain
• 94 Graphing Lines
• 95 The Intercept Method
• 96 Graphing Inequalities in Two Variables

Linear equations and functions

• 97 Patterns and Table Building
• 98 Word Problems and Table Building
• 99 Slope as a Rate of Change
• 100 Slope of a Line
• 101 Using Slope to Graph a Line
• 102 Slope Formula
• 103 Slope-Intercept Form
• 104 Converting to Slope-Intercept Form and Graphing
• 105 Linear Parent Graph and Transformations
• 106 Writing Equations of Lines
• 107 Writing Equations of Lines Using Tables
• 108 Direct Variation
• 109 Applications of Direct Variation and Linear Functions
• 110 Writing Equations of Lines in Standard Form
• 111 Writing Equations of Lines Using the Point-Slope Formula
• 112 Writing Equations of Lines Given Two Points
• 113 Writing Equations of Parallel and Perpendicular Lines

Systems of linear equations

• 114 Solving Systems by Graphing
• 115 Solving Systems by Addition
• 116 Solving Systems by Substitution
• 117 Systems of Equations with Fractions and Method of Choice
• 118 Number and Value Word Problems
• 119 Wind and Current Word Problems

Exponents and polynomials

• 120 The Product Rule
• 121 The Power Rule
• 122 The Quotient Rule
• 123 Numerical Bases and Exponents of Zero
• 124 Combining Exponent Rules
• 125 Multiplying Polynomials
• 126 F.O.I.L.
• 127 Advanced Multiplying Polynomials

Factoring

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

Rational expressions and equations

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

Radical expresions and equations

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

Quadratic equations

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

Imaginary and complex numbers

• 162 Imaginary Numbers
• 163 Advanced Imaginary Numbers
• 164 Complex Numbers
• 165 Advanced Complex Numbers

Quadratic functions and graphing

• 166 Understanding y - k = a(x - h)² Form
• 167 Graphing Quadratic Equations in y - k = a(x - h)² Form
• 168 Writing Quadratic Equations in y - k = a(x - h)² Form
• 169 Graphing Quadratic Functions
• 170 Sum and Product of Roots Formula
• 171 Writing Quadratic Functions

Introduction to geometry

• 172 Points, Lines, Planes, and Space
• 173 Segments, Rays, and Length
• 174 Segment Addition Postulate and Midpoint
• 175 Angles and Measure
• 176 Angle Addition Postulate and Angle Bisector
• 177 Inductive vs. Deductive Reasoning
• 178 Conditional Statements
• 179 Properties
• 180 Algebra Proofs with Properties
• 181 Geometry Proofs with Midpoints and Angle Bisectors

Angle pairs and perpendicular lines

• 182 Complementary and Supplementary Angles
• 183 Vertical Angles
• 184 Problems Involving Perpendicular Lines
• 185 Theorems Involving Perpendicular Lines

Parallel lines and polygons

• 186 Parallel Lines Vocabulary
• 187 Given Lines are Parallel
• 188 Proving Lines are Parallel
• 189 Triangle Vocabulary and Triangle Sum Theorem
• 190 Triangle Word Problems and Exterior Angle Theorem
• 191 Polygon Vocabulary
• 192 Sum of Interior and Exterior Angles of a Polygon
• 193 Regular Polygons

Triangles and congruence

• 194 Congruent Figures
• 195 Proving Triangles are Congruent by SSS, SAS, and ASA
• 196 Isosceles Triangle Theorems
• 197 Proving Triangles are Congruent by AAS and HL
• 198 Medians, Altitudes, and Perpendicular Bisectors

Quadrilaterals

• 199 Properties of Parallelograms
• 200 Proving a Quadrilateral is a Parallelogram
• 201 More Parallel Line Theorems
• 202 Rectangles, Rhombuses, and Squares
• 203 Trapezoids

Similarity

• 204 Ratio
• 205 Proportion
• 206 Properties of Similar Polygons
• 207 Angle-Angle Similarity Postulate
• 208 Similarity Word Problems
• 209 SSS and SAS Similarity Theorems
• 210 Triangle Proportionality and Triangle Angle-Bisector Theorems

Right triangles

• 211 Pythagorean Theorem
• 212 Pythagorean Theorem Word Problems
• 213 Converse of the Pythagorean Theorem
• 214 30-60-90 and 45-45-90 Degree Triangles
• 215 Sine, Cosine, and Tangent
• 216 Sine, Cosine, and Tangent with a Calculator
• 217 Trigonometry Word Problems

Circles

• 218 Circle Vocabulary
• 219 Tangents
• 220 Arcs and Central Angles
• 221 Arcs and Chords
• 222 Advanced Arcs and Chords
• 223 Inscribed Angles
• 224 Angles Formed by Chords, Secants, and Tangents
• 225 Circle Segment Lengths
• 226 Advanced Circle Segment Lengths

Measurement and area

• 227 Customary Unit Conversions
• 228 Metric Unit Conversions
• 229 Units of Measurement
• 230 Area of Rectangles and Squares
• 231 Advanced Area of Rectangles and Squares
• 232 Area of Parallelograms
• 233 Area of Triangles
• 234 Area of Rhombuses
• 235 Area of Trapezoids
• 236 Area of Regular Polygons
• 237 Area and Circumference of Circles
• 238 Changing Dimensions
• 239 Area Word Problems

Volume

• 240 Area and Volume of Prisms
• 241 Advanced Area and Volume of Prisms
• 242 Area and Volume of Pyramids
• 243 Advanced Area and Volume of Pyramids
• 244 Area and Volume of Cylinders and Cones
• 245 Area and Volume of Spheres

Data and statistics

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