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 Value Word Problems
• 77 Interest Word Problems
• 78 Mixture Word Problems
• 79 Motion Word Problems

Inequalities and absolute value

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

Graphing and transforamtions

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

Functions and graphing

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

Linear equations and functions

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

Systems of linear equations

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

Exponents and polynomials

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

Factoring

• 129 Greatest Common Factor
• 130 Factoring out the Greatest Common Factor
• 131 Factoring Trinomials with Positive Constants
• 132 Factoring Trinomials with Negative Constants
• 133 Difference of Two Squares
• 134 Factoring Trinomials with Lead Coefficients and Positive Constants
• 135 Factoring Trinomials with Lead Coefficients and Negative Constants
• 136 Factoring Completely
• 137 Factoring by Grouping
• 138 Advanced 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 Complex Fractions
• 146 Rational Equations
• 147 Advanced Rational Equations
• 148 Inverse Variation

Radical expresions and equations

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

Quadratic equations

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

Imaginary and complex numbers

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

Quadratic functions and graphing

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

Introduction to geometry

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

Angle pairs and perpendicular lines

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

Parallel lines and polygons

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

Triangles and congruence

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

Quadrilaterals

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

Similarity

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

Right triangles

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

Circles

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

Measurement and area

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

Volume

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

Data and statistics

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