Indiana CORE Middle School 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 Recognizing Patterns
• 48 Combining Like Terms
• 49 Distributive Property
• 50 Distributive Property and Combining Like Terms
• 51 One-Step Equations
• 52 Two-Step Equations
• 53 Equations with Fractions
• 54 Equations Involving Distributive
• 55 Equations with Variable on Both Sides
• 56 Equations with Variable on Both Sides and Fractions
• 57 Equations with Variable on Both Sides and Distributive
• 58 Equations with Decimals
• 59 Equations with Decimals and Decimal Solutions
• 60 Equations with Fraction Solutions
• 61 Literal Equations
• 62 Advanced Literal Equations

Ratio, proportion, & percent

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

Word problems

• 78 Number Word Problems
• 79 Consecutive Integer Word Problems
• 80 Geometry Word Problems
• 81 Interest Word Problems
• 82 Mixture Word Problems
• 83 Motion Word Problems
• 84 Advanced Motion 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 Dilations

Functions and graphing

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

Linear equations and functions

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

Systems of linear equations

• 118 Solving Systems by Graphing
• 119 Solving Systems by Addition
• 120 Solving Systems by Substitution
• 121 Systems of Equations with Fractions and Method of Choice
• 122 Number and Value Word Problems
• 123 Wind and Current Word Problems

Exponents and polynomials

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

Factoring

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

Rational expressions and equations

• 145 Simplifying Rational Expressions
• 146 Multiplying and Dividing Rational Expressions
• 147 Adding Rational Expressions
• 148 Subtracting Rational Expressions
• 149 Complex Fractions
• 150 Rational Equations
• 151 Advanced Rational Equations

Radical expresions and equations

• 152 Square Roots
• 153 Simplifying Radicals
• 154 Multiplying Radicals
• 155 Dividing Radicals
• 156 Adding Radicals and FOILing with Radicals
• 157 Dividing Radicals Using Conjugates
• 158 Radical Equations
• 159 Advanced Radical Equations

Quadratic equations

• 160 Graphs of Quadratic Functions and Beginning Transformations
• 161 Graphs of Quadratic Functions and Advanced Transformations
• 162 Taking the Square Root of Both Sides
• 163 Completing The Square
• 164 Advanced Completing The Square
• 165 Quadratic Formula
• 166 Advanced Quadratic Formula

Imaginary and complex numbers

• 167 Imaginary Numbers
• 168 Advanced Imaginary Numbers
• 169 Complex Numbers
• 170 Advanced Complex Numbers

Quadratic functions and graphing

• 171 Understanding y - k = a(x - h)² Form
• 172 Graphing Quadratic Equations in y - k = a(x - h)² Form
• 173 Writing Quadratic Equations in y - k = a(x - h)² Form
• 174 Graphing Quadratic Functions

Introduction to geometry

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

Angle pairs and perpendicular lines

• 185 Complementary and Supplementary Angles
• 186 Advanced Complementary and Supplementary Angles
• 187 Vertical Angles
• 188 Problems Involving Perpendicular Lines
• 189 Theorems Involving Perpendicular Lines

Parallel lines and polygons

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

Triangles and congruence

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

Quadrilaterals

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

Similarity

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

Right triangles

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

Circles

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

Measurement and area

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

Volume

• 243 Area and Volume of Prisms
• 244 Advanced Area and Volume of Prisms
• 245 Area and Volume of Pyramids
• 246 Advanced Area and Volume of Pyramids
• 247 Area and Volume of Cylinders and Cones
• 248 Area and Volume of Spheres

Data and statistics

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

Coordinate geometry

• 267 Distance Formula
• 268 Midpoint Formula
• 269 Equation of a Circle

Negative & rational exponents

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

Composite functions & inverses

• 279 Composite Functions: f(g(x)) and g(f(x))
• 280 Inverse Relations
• 281 Inverse Functions

Logarithms & exponential functions

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