MEGA Middle School Mathematics 012 Test Prep Course

Whole numbers, estimation, and properties

• 1 Place Value
• 2 Estimating Sums and Differences
• 3 Exponents
• 4 Estimating Products and Quotients
• 5 Field Properties

Integers and evaluating expressions

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

Understanding fractions

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

Decimals

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

Simplifying expressions and solving equations

• 42 Combining Like Terms
• 43 Distributive Property
• 44 Distributive Property and Combining Like Terms
• 45 One-Step Equations
• 46 Two-Step Equations
• 47 Equations with Fractions
• 48 Equations Involving Distributive
• 49 Equations with Variable on Both Sides
• 50 Equations with Variable on Both Sides and Fractions
• 51 Equations with Variable on Both Sides and Distributive
• 52 Literal Equations

Ratio, proportion, and percent

• 53 Introduction to Ratios
• 54 Equal Ratios
• 55 Unit Rate
• 56 Unit Price
• 57 Introduction to Proportion
• 58 Solving Proportions
• 59 Understanding Percents
• 60 Fractions and Percents
• 61 Decimals and Percents
• 62 Percent Word Problems
• 63 Percent Increase or Decrease
• 64 Discount
• 65 Sales Tax
• 66 Interest

Word problems

• 67 Translating English to Algebra
• 68 Number Word Problems
• 69 Value Word Problems
• 70 Mixture Word Problems
• 71 Motion Word Problems

Inequalities and absolute value

• 72 Solving and Graphing Inequalities
• 73 Combined Inequalities
• 74 Advanced Inequalities
• 75 Absolute Value Equations
• 76 Absolute Value Inequalities

Graphing and transforamtions

• 77 The Coordinate Grid
• 78 Transformations
• 79 Reflections
• 80 Translations
• 81 Rotations
• 82 Dilations

Functions and graphing

• 83 Domain and Range
• 84 Definition of a Function
• 85 Function and Arrow Notation
• 86 Graphing within a Given Domain
• 87 Graphing Lines
• 88 The Intercept Method
• 89 Graphing Inequalities in Two Variables

Linear equations and functions

• 90 Recognizing Patterns
• 91 Patterns and Table Building
• 92 Word Problems and Table Building
• 93 Slope of a Line
• 94 Slope Formula
• 95 Slope-Intercept Form
• 96 Converting to Slope-Intercept Form and Graphing
• 97 Linear Parent Graph and Transformations
• 98 Interpreting Graphs
• 99 Writing Equations of Lines
• 100 Writing Equations of Lines Using Tables
• 101 Direct Variation
• 102 Writing Equations of Lines in Standard Form
• 103 Writing Equations of Lines Using the Point-Slope Formula
• 104 Writing Equations of Lines Given Two Points
• 105 Writing Equations of Parallel and Perpendicular Lines

Systems of linear equations and inequalities

• 106 Solving Systems by Graphing
• 107 Solving Systems by Addition
• 108 Solving Systems by Substitution
• 109 Number and Value Word Problems
• 110 Systems of Inequalities

Exponents and polynomials

• 111 The Product Rule
• 112 The Power Rule
• 113 The Quotient Rule
• 114 Numerical Bases and Exponents of Zero
• 115 Multiplying Polynomials
• 116 F.O.I.L.
• 117 Advanced Multiplying Polynomials
• 118 Adding and Subtracting Polynomials
• 119 Polynomial Long Division

Factoring and polynomial equations

• 120 Greatest Common Factor
• 121 Factoring out the Greatest Common Factor
• 122 Factoring Trinomials with Positive Constants
• 123 Factoring Trinomials with Negative Constants
• 124 Difference of Two Squares
• 125 Factoring Trinomials with Lead Coefficients and Positive Constants
• 126 Factoring Trinomials with Lead Coefficients and Negative Constants
• 127 Factoring Completely
• 128 Factoring by Grouping
• 129 Beginning Polynomial Equations
• 130 Intermediate Polynomial Equations
• 131 Quadratic Word Problems
• 132 Polynomial Inequalities

Rational expressions and equations

• 133 Simplifying Rational Expressions
• 134 Multiplying and Dividing Rational Expressions
• 135 Adding Rational Expressions
• 136 Subtracting Rational Expressions
• 137 Rational Equations
• 138 Advanced Rational Equations
• 139 Work Word Problems
• 140 Inverse Variation

Radical expresions and equations

• 141 Simplifying Radicals
• 142 Multiplying Radicals
• 143 Dividing Radicals
• 144 Adding Radicals and FOILing with Radicals
• 145 Dividing Radicals Using Conjugates
• 146 Radical Equations

Quadratic equations

• 147 Graphs of Quadratic Functions and Beginning Transformations
• 148 Graphs of Quadratic Functions and Advanced Transformations
• 149 Taking the Square Root of Both Sides
• 150 Completing The Square
• 151 Quadratic Formula

Imaginary and complex numbers

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

Quadratic functions and graphing

• 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
• 159 Sum and Product of Roots Formula
• 160 Writing Quadratic Functions

Integer and rational exponents

• 161 Negative Exponents
• 162 Numerical Bases with Negative Exponents
• 163 Multiplying and Dividing with Negative Exponents
• 164 Rational Exponents
• 165 Numerical Bases with Rational Exponents
• 166 Writing Radicals in Exponential Form
• 167 Solving Equations with Rational Exponents

Exponential and logarithmic equations

• 168 Evaluating Logarithms and Logarithmic vs. Exponential Form
• 169 Solving Logarithmic Equations
• 170 Logarithm Rules and Properties
• 171 Evaluating Logarithms by Condensing or Expanding
• 172 Solving Advanced Logarithmic Equations
• 173 Logarithm Calculator Problems
• 174 Exponential Equations and Change of Base Formula
• 175 Exponential Growth and Decay

Introduction to geometry

• 176 Points, Lines, Planes, and Space
• 177 Segments, Rays, and Length
• 178 Segment Addition Postulate and Midpoint
• 179 Angles and Measure
• 180 Angle Addition Postulate and Angle Bisector

Angle pairs and perpendicular lines

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

Parallel lines and polygons

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

Triangles and congruence

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

Quadrilaterals

• 197 Properties of Parallelograms
• 198 More Parallel Line Theorems
• 199 Rectangles, Rhombuses, and Squares
• 200 Trapezoids

Similarity

• 201 Proportion
• 202 Properties of Similar Polygons
• 203 Angle-Angle Similarity Postulate
• 204 Similarity Word Problems

Right triangles

• 205 Pythagorean Theorem
• 206 Pythagorean Theorem Word Problems
• 207 Converse of the Pythagorean Theorem
• 208 30-60-90 and 45-45-90 Degree Triangles
• 209 Sine, Cosine, and Tangent
• 210 Sine, Cosine, and Tangent with a Calculator

Circles

• 211 Circle Vocabulary
• 212 Tangents
• 213 Arcs and Central Angles
• 214 Arcs and Chords
• 215 Inscribed Angles
• 216 Angles Formed by Chords, Secants, and Tangents
• 217 Circle Segment Lengths

Measurement

• 218 Customary Unit Conversions
• 219 Metric Unit Conversions
• 220 Units of Measurement
• 221 Perimeter
• 222 Circumference
• 223 Perimeter and Circumference Word Problems
• 224 Area of Squares and Rectangles
• 225 Area of Triangles
• 226 Area of Parallelograms and Trapezoids
• 227 Area of a Circle
• 228 Area Word Problems
• 229 Surface Area
• 230 Volume of Prisms and Pyramids
• 231 Volume of Cylinders, Spheres, and Cones
• 232 Surface Area and Volume Word Problems

Coordinate geometry

• 233 Distance Formula
• 234 Midpoint Formula
• 235 Equation of a Circle

Data and statistics

• 236 Bar Graphs
• 237 Line Graphs
• 238 Circle Graphs
• 239 Stem-and-Leaf Plots and Frequency Charts
• 240 Histograms
• 241 Scatterplots and Trends
• 242 Range, Median, and Mode
• 243 Box-and-Whisker Plots
• 244 Mean
• 245 Central Tendency Word Problems
• 246 Simple Probability
• 247 Experimental Probability
• 248 Probability of Independent Events
• 249 Probability of Dependent Events
• 250 Simulations
• 251 Tree Diagrams and the Counting Principle
• 252 Permutations
• 253 Combinations