# A Complete MDTP Math Test Prep Course with a Personal Math Teacher

MathHelp.com offers a complete MDTP math test prep course with a personal math teacher. Our course features 550 lessons covering all of the topics on the MDTP test.

READ REVIEWS#### MDTP Math Test Prep Reviews

**Mark**

**Sean**

**Adrielle**

**Alina**

**Brittany**

**Amy**

**Darnell**

#### MDTP Math Scope & Sequence

#### Part 1 – Algebra Readiness

##### CHAPTER 1: WHOLE NUMBERS

##### Unit 1: Number Concepts

Place Value Comparing Numbers Rounding

##### Unit 2: Addition and Subtraction

Addition Subtraction Estimating Sums and Differences Addition and Subtraction Word Problems

##### Unit 3: Multiplication and Division

Multiplication Exponents Division Estimating Products and Quotients Multiplication and Division Word Problems

##### Unit 4: Order of Operations

Order of Operations Grouping Symbols Variables

##### Unit 5: Properties of Real Numbers

##### CHAPTER 2: INTEGERS

##### Unit 1: Integers and the Number Line

Graphing and Writing Integers Comparing Integers Opposites and Absolute Value

##### Unit 2: Integer Operations

Addition Subtraction Multiplication Division

##### Unit 3: Order of Operations and Word Problems

##### CHAPTER 3: FRACTIONS

##### Unit 1: Factors and Multiples

Divisibility Rules Factors and Primes Prime Factorization Multiples and Least Common Multiples Greatest Common Factor

##### Unit 2: Fractions and Mixed Numbers

Introduction to Fractions Equivalent Fractions (Part I) Lowest Terms Equivalent Fractions (Part II) Improper Fractions and Mixed Numbers

##### Unit 3: Comparing Fractions

Comparing Proper Fractions Comparing Mixed Numbers and Improper Fractions Word Problems

##### Unit 4: Addition and Subtraction

Adding and Subtracting Like Fractions Adding and Subtracting Unlike Fractions Adding Mixed Numbers Subtracting Mixed Numbers

##### Unit 5: Multiplication and Division

Multiplying Fractions Multiplying Mixed Numbers Dividing Fractions Dividing Mixed Numbers

##### CHAPTER 4: DECIMALS

##### Unit 1: Decimal Concept

Understanding Decimals Converting Decimals to Fractions Converting Fractions to Decimals Comparing Decimals Rounding Decimals Word Problems

##### Unit 2: Addition and Subtraction

Estimating Sums and Differences Adding Decimals Subtracting Decimals Word Problems

##### Unit 3: Multiplication and Division

Multiplying Decimals by Whole Numbers Multiplying Decimals by Decimals Dividing Decimals by Whole Numbers Dividing Decimals by Decimals Word Problems

##### Unit 4: Scientific Notation

Powers of Ten Converting from Scientific to Standard Notation Converting from Standard to Scientific Notation

##### Unit 5: Rational and Irrational Numbers

Terminating and Repeating Decimals Determining if a Number is Rational or Irrational

##### CHAPTER 5: ALGEBRAIC THINKING

##### Unit 1: Patterns

Patterns with Whole Numbers Patterns with Fractions, Decimals, and Integers

##### Unit 2: Variables and Expressions

Evaluating Expressions Combining Like Terms The Distributive Property Modeling Expressions

##### Unit 3: One-Step Equations

Introduction to Equations Addition Equations Subtraction Equations Multiplication Equations Division Equations Writing and Solving Equations

##### Unit 4: Multi-Step Equations

Two-Step Equations Equations with the Variable on Both Sides Equations with the Distributive Property Modeling Two-Step Equations

##### Unit 5: Equations with Fractions and Formulas

Equations with Fractions Beginning Formulas

##### Unit 6: Inequalities

##### CHAPTER 6: RATIO, PROPORTION, AND PERCENT

##### Unit 1: Ratio

Introduction to Ratios Equal Ratios Unit Rate Unit Price

##### Unit 2: Proportion

Introduction to Proportion Solving Proportions Word Problems

##### Unit 3: Percent Concept

Understanding Percents Fractions and Percents Decimals and Percents

##### Unit 4: Percent Problems

Percent of a Number Percent One Number is of Another Using Percent to Find a Number Percent Increase or Decrease

##### Unit 5: Percent Applications

##### CHAPTER 7: GEOMETRY

##### Unit 1: Lines and Angles

Points, Lines, Segments, and Rays Classifying Lines Angles Measuring Angles Complementary and Supplementary Angles

##### Unit 2: Two-Dimensional Figures

Angles of a Triangle Sides of a Triangle Polygons Quadrilaterals Circles

##### Unit 3: Three-Dimensional Figures

Classifying 3-Dimensional Figures

##### Unit 4: Congruent and Similar Figures

Congruent Figures Similar Figures Problem Solving with Similar Figures Symmetry

##### Unit 5: Graphing and Functions

The Coordinate Grid Relations and Functions Evaluating and Graphing Functions

##### Unit 6: Transformations

Transformations Reflections Translations Rotations Dilations

##### CHAPTER 8: MEASUREMENT

##### Unit 1: Units of Measurement

Customary Unit Conversions Metric Unit Conversions Units of Measurement

##### Unit 2: Perimeter and Circumference

Perimeter Circumference Word Problems

##### Unit 3: Area

Area of Squares and Rectangles Area of Triangles Area of Parallelograms and Trapezoids Area of a Circle Word Problems

##### Unit 4: Surface Area and Volume

Surface Area Volume of Prisms and Pyramids Volume of Cylinders, Spheres, and Cones Word Problems

##### Unit 5: Right Triangles

Square Roots Using Square Roots to Solve Equations Pythagorean Theorem Pythagorean Triples

##### CHAPTER 9: PROBABILITY AND STATISTICS

##### Unit 1: Common Graphs and Charts

Pictographs and Line Plots Bar Graphs Line Graphs Circle Graphs

##### Unit 2: Representing Data

Stem-and-Leaf Plots and Frequency Tables Histograms Scatterplots and Trends

##### Unit 3: Central Tendency

Range, Median, and Mode Box-and-Whisker Plots Mean Word Problems

##### Unit 4: Probability and Counting Methods

Simple Probability Experimental Probability Probability of Independent Events Probability of Dependent Events Tree Diagrams and the Counting Principle

##### CHAPTER 10: EXPONENTS AND POLYNOMIALS

##### Unit 1: Exponent Rules

The Product Rule The Power Rule The Quotient Rule Numerical Bases and Exponents of Zero

##### Unit 2: Polynomials

#### Part 2 – Elementary Algebra

##### CHAPTER 11: EXPONENTS, INTEGERS, AND OPERATIONS

##### Unit 1: Exponents and Variables

##### Unit 2: Properties of Real Numbers

Addition Properties Multiplication Properties

##### Unit 3: Introduction to Integers

Graphing and Writing Integers Comparing Integers Opposites and Absolute Value

##### Unit 4: Integer Operations

##### CHAPTER 12: FRACTIONS

##### Unit 1: Factors and Multiples

Divisibility Rules Factors and Primes Prime Factorization Multiples and Least Common Multiples Greatest Common Factor

##### Unit 2: Fractions and Mixed Numbers

Introduction to Fractions Equivalent Fractions (Part I) Lowest Terms Equivalent Fractions (Part II) Improper Fractions and Mixed Numbers

##### Unit 3: Comparing Fractions

Comparing Proper Fractions Comparing Mixed Numbers and Improper Fractions

##### Unit 4: Addition and Subtraction

Adding and Subtracting Like Fractions Adding and Subtracting Unlike Fractions Adding Mixed Numbers Subtracting Mixed Numbers

##### Unit 5: Multiplication and Division

Multiplying Fractions Multiplying Mixed Numbers Dividing Fractions Dividing Mixed Numbers

##### CHAPTER 13: DECIMALS

##### Unit 1: Decimal Concepts

Understanding Decimals Converting Decimals to Fractions Converting Fractions to Decimals Comparing Decimals Rounding Decimals

##### Unit 2: Addition and Subtraction

Estimating Sums and Differences Adding Decimals Subtracting Decimals

##### Unit 3: Multiplication and Division

Multiplying Decimals by Whole Numbers Multiplying Decimals by Decimals Dividing Decimals by Whole Numbers Dividing Decimals by Decimals

##### Unit 4: Scientific Notation

Powers of Ten Converting from Scientific to Standard Notation Converting from Standard to Scientific Notation

##### Unit 5: Rational and Irrational Numbers

Terminating and Repeating Decimals Determining if a Number is Rational or Irrational

##### CHAPTER 14: ALGEBRAIC EXPRESSIONS

##### Unit 1: Order of Operations and Evaluation

Order of Operations Evaluation Integers

##### Unit 2: Simplifying Variable Expressions

Combining Like Terms Distributive Property Distributive / Like Terms

##### CHAPTER 15: EQUATIONS

##### Unit 1: Beginning Equations

One-Step Equations Two-Step Equations

##### Unit 2: Intermediate Equations

Equations with Fractions Equations Involving Distributive

##### Unit 3: Advanced Equations

Variable on Both Sides Variable on Both Sides / Fractions Variable on Both Sides / Distributive

##### Unit 4: Equations with Fractions and Decimals

Integer Solutions Decimal Solutions Fractional Solutions

##### Unit 5: Formulas

##### CHAPTER 16: RATIO, PROPORTION, AND PERCENT

##### Unit 1: Ratios and Rates

Introduction to Ratios Equal Ratios Unit Rate Unit Price

##### Unit 2: Proportions

Introduction to Proportion Solving Proportions Word Problems

##### Unit 3: Percent Concept

Understanding Percents Fractions and Percents Decimals and Percents

##### Unit 4: Percent Problems and Applications

##### CHAPTER 17: GEOMETRY

##### Unit 1: Lines and Angles

Points, Lines, Segments, and Rays Classifying Lines Angles Measuring Angles Complementary and Supplementary Angles

##### Unit 2: Two-Dimensional Figures

Angles of a Triangle Sides of a Triangle Polygons Quadrilaterals Circles

##### Unit 3: Three-Dimensional Figures

Classifying 3-Dimensional Figures

##### Unit 4: Congruence and Similarity

Congruent Figures Similar Figures Problem Solving with Similar Figures Symmetry

##### CHAPTER 18: MEASUREMENT

##### Unit 1: Units of Measurement

Customary Unit Conversions Metric Unit Conversions Units of Measurement

##### Unit 2: Perimeter and Circumference

Perimeter Circumference Word Problems

##### Unit 3: Area

Area of Squares and Rectangles Area of Triangles Area of Parallelograms and Trapezoids Area of a Circle Word Problems

##### Unit 4: Surface Area and Volume

Surface Area Volume of Prisms and Pyramids Volume of Cylinders, Spheres, and Cones Word Problems

##### CHAPTER 19: SOLVING WORD PROBLEMS

##### Unit 1: Modeling Expressions and Equations

Translating English to Algebra

##### Unit 2: Introductory Word Problems

Number Problems Consecutive Integer Problems Geometry Problems Age Problems

##### Unit 3: Advanced Word Problems

Value Problems Interest Problems Introductory Motion Problems

##### CHAPTER 20: INEQUALITIES, FUNCTIONS, GRAPHING

##### Unit 1: Inequalities

Solving and Graphing Inequalities

##### Unit 2: Functions

The Coordinate Grid Relations and Functions Evaluating and Graphing Functions

##### Unit 3: Graphing

Graphing within a Given Domain Graphing Lines The Intercept Method Graphing Inequalities in Two Variables

##### CHAPTER 21: LINEAR EQUATIONS IN TWO VARIABLES

##### Unit 1: Lines and Slope

Slope as a Rate of Change Using the Graph of a Line to Find Slope Using Slope to Graph a Line

##### Unit 2: Coordinates and Slope

Using Coordinates to Find Slope (Graphs and Tables) Using Coordinates to Find Slope

##### Unit 3: Slope-Intercept Form

Using Slope-Intercept Form to Graph a Line Converting to Slope-Intercept Form and Graphing

##### Unit 4: Writing Equations of Lines

Using Graphs and Slope-Intercept Form Using Tables and Slope-Intercept Form

##### CHAPTER 22: TRANSFORMATIONS

##### Unit 1: Introduction to Transformations

##### Unit 2: Congruence Transformations

Reflections Translations Rotations

##### Unit 3: Dilations

##### CHAPTER 23: SYSTEMS OF EQUATIONS

##### Unit 1: Solving Systems of Equations

By Graphing By Addition By Substitution

##### Unit 2: Advanced Systems and Applications

##### CHAPTER 24: EXPONENTS AND POLYNOMIALS

##### Unit 1: Exponent Rules

The Product Rule The Power Rule The Quotient Rule

##### Unit 2: Advanced Exponent Problems

Numerical Bases and Exponents of Zero Combining Exponent Rules

##### Unit 3: Multiplying Polynomials

##### CHAPTER 25: FACTORING POLYNOMIALS

##### Unit 1: Greatest Common Factor

Rules for Finding the G.C.F. Factoring Out the G.C.F.

##### Unit 2: Factoring Special Polynomials

Special Trinomials with Positive Constant Special Trinomials with Negative Constant Difference of Two Squares

##### Unit 3: Advanced Trinomial Factoring

Coefficient on x^{2} Term, Positive Constant Coefficient on x^{2} Term, Negative Constant

##### Unit 4: Factoring by Grouping & Factoring Completely

Basic Technique Factoring Out G.C.F. as First Step

##### Unit 5: Solving Polynomial Equations

##### CHAPTER 26: RATIONAL EXPRESSIONS

##### Unit 1: Beginning Rational Expressions

Simplifying Rational Expressions Multiplying and Dividing Rational Expressions

##### Unit 2: Advanced Rational Expressions

Adding Rational Expressions Subtracting Rational Expressions

##### CHAPTER 27: RADICAL EXPRESSIONS

##### Unit 1: Beginning Radical Expressions

Simplifying Square Roots Multiplying Square Roots Dividing Square Roots Adding and Subtracting Square Roots

##### Unit 2: Advanced Radical Expressions

Simplifying Radicals Multiplying Radicals Dividing Radicals Addition and FOILing

##### CHAPTER 28: QUADRATIC EQUATIONS

##### Unit 1: Graphing Quadratic Equations

Graphs of Quadratic Functions and Beginning Transformations Graphs of Quadratic Functions and Advanced Transformations Solving Quadratic Equations by Graphing

##### Unit 2: Quadratic Equations & The Pythagorean Theorem

Square Rooting Both Sides Pythagorean Theorem Pythagorean Triples

##### CHAPTER 29: STATISTICS AND PROBABILITY

##### Unit 1: Common Graphs and Charts

Pictographs and Line Plots Bar Graphs Line Graphs Circle Graphs

##### Unit 2: Representing Data

Stem-and-Leaf Plots and Frequency Tables Histograms Scatterplots and Trends

##### Unit 3: Central Tendency

Range, Median, and Mode Box-and-Whisker Plots Mean Word Problems

##### Unit 4: Probability and Counting Methods

Simple Probability Experimental Probability Probability of Independent Events Probability of Dependent Events Tree Diagrams and the Counting Principle

#### Part 3 – Intermediate Algebra

##### CHAPTER 30: INTEGERS, OPERATIONS, AND EXPONENTS

##### Unit 1: Exponents and Variables

##### Unit 2: Properties of Real Numbers

Addition Properties Multiplication Properties

##### Unit 3: Introduction to Integers

Graphing and Writing Integers Comparing Integers Opposites and Absolute Value

##### Unit 4: Integer Operations

##### CHAPTER 31: ALGEBRAIC EXPRESSIONS

##### Unit 1: Order of Operations and Evaluation

Order of Operations Evaluation Integers

##### Unit 2: Simplifying Variable Expressions

Combining Like Terms Distributive Property Distributive / Like Terms

##### CHAPTER 32: EQUATIONS

##### Unit 1: Beginning Equations

One-Step Equations Two-Step Equations

##### Unit 2: Intermediate Equations

Equations with Fractions Equations Involving Distributive

##### Unit 3: Advanced Equations

Variable on Both Sides Variable on Both Sides / Fractions Variable on Both Sides / Distributive

##### Unit 4: Equations with Fractions and Decimals

Integer Solutions Decimal Solutions Fractional Solutions

##### Unit 5: Formulas

##### CHAPTER 33: PROPORTIONS AND PERCENTS

##### CHAPTER 34: BEGINNING GEOMETRY

##### Unit 1: Lines and Angles

Points, Lines, Segments, and Rays Classifying Lines Angles Measuring Angles Complementary and Supplementary Angles

##### Unit 2: Two-Dimensional Figures

Angles of a Triangle Sides of a Triangle Polygons Quadrilaterals Circles

##### Unit 3: Three-Dimensional Figures

Classifying 3-Dimensional Figures

##### Unit 4: Congruence and Similarity

Congruent Figures Similar Figures Problem Solving with Similar Figures Symmetry

##### CHAPTER 35: UNITS AND MEASUREMENT

##### Unit 1: Units of Measurement

Customary Unit Conversions Metric Unit Conversions Units of Measurement

##### Unit 2: Perimeter and Circumference

Perimeter Circumference Word Problems

##### Unit 3: Area

Area of Squares and Rectangles Area of Triangles Area of Parallelograms and Trapezoids Area of a Circle Word Problems

##### Unit 4: Surface Area and Volume

Surface Area Volume of Prisms and Pyramids Volume of Cylinders, Spheres, and Cones Word Problems

##### CHAPTER 36: EQUATIONS AND PROBLEM SOLVING

##### Unit 1: Modeling Expressions and Equations

Translating English to Algebra

##### Unit 2: Introductory Word Problems

Number Problems Consecutive Integer Problems Geometry Problems Age Problems

##### Unit 3: Advanced Word Problems

Value Problems Interest Problems Introductory Motion Problems

##### CHAPTER 37: INEQUALITIES, ABSOLUTE VALUE, FUNCTIONS, GRAPHING

##### Unit 1: Inequalities

Solving and Graphing Inequalities Combined Inequalities Advanced Inequality Problems

##### Unit 2: Absolute Value

Absolute Value Equations Absolute Value Inequalities

##### Unit 3: Functions

The Coordinate System Domain and Range Definition of a Function Function and Arrow Notation

##### Unit 4: Graphing

Graphing within a Given Domain Graphing Lines The Intercept Method Graphing Inequalities in Two Variables

##### CHAPTER 38: TRANSFORMATIONS

##### Unit 1: Introduction to Transformations

##### Unit 2: Congruence Transformations

Reflections Translations Rotations

##### Unit 3: Dilations

##### CHAPTER 39: LINEAR EQUATIONS IN TWO VARIABLES

##### Unit 1: Lines and Slope

Slope as a Rate of Change Using the Graph of a Line to Find Slope Using Slope to Graph a Line

##### Unit 2: Coordinates and Slope

Using Coordinates to Find Slope (Graphs and Tables) Using Coordinates to Find Slope Using Slope to Find Missing Coordinates

##### Unit 3: Slope-Intercept Form

Using Slope-Intercept Form to Graph a Line Converting to Slope-Intercept Form and Graphing Linear Parent Graph and Transformations

##### Unit 4: Writing Equations of Lines in Slope-Intercept Form

Using Graphs and Slope-Intercept Form Using Tables and Slope-Intercept Form

##### Unit 5: Equations of Lines: Point-Slope & Standard Form

Standard Form The Point-Slope Formula Given Two Points Parallel and Perpendicular

##### Unit 6: Applications and Direct Variation

Direct Variation Applications of Direct Variation and Linear Functions

##### CHAPTER 40: SYSTEMS OF EQUATIONS

##### Unit 1: Solving Systems of Equations

By Graphing By Addition By Substitution Advanced Systems

##### Unit 2: Applications of Systems

##### CHAPTER 41: EXPONENTS AND MULTIPLYING POLYNOMIALS

##### Unit 1: Exponent Rules

The Product Rule The Power Rule The Quotient Rule

##### Unit 2: Advanced Exponent Problems

Numerical Bases and Exponents of Zero Combining Exponent Rules

##### Unit 3: Multiplying Polynomials

##### CHAPTER 42: FACTORING POLYNOMIALS

##### Unit 1: Greatest Common Factor

Rules for Finding the G.C.F. Factoring Out the G.C.F.

##### Unit 2: Factoring Special Polynomials

Special Trinomials with Positive Constant Special Trinomials with Negative Constant Difference of Two Squares

##### Unit 3: Advanced Trinomial Factoring

Coefficient on x^{2} Term, Positive Constant Coefficient on x^{2} Term, Negative Constant

##### Unit 4: Factoring by Grouping & Factoring Completely

Basic Technique Factoring Out G.C.F. as First Step

##### Unit 5: Solving Polynomial Equations

##### CHAPTER 43: RATIONAL EXPRESSIONS AND EQUATIONS

##### Unit 1: Beginning Rational Expressions

Simplifying Rational Expressions Multiplying and Dividing Rational Expressions

##### Unit 2: Advanced Rational Expressions

Adding Rational Expressions Subtracting Rational Expressions

##### Unit 3: Complex Fractions

##### Unit 4: Rational Equations

Beginning Rational Equations Advanced Rational Equations

##### Unit 5: Inverse Variation

##### CHAPTER 44: EXPRESSIONS AND EQUATIONS WITH RADICALS

##### Unit 1: Beginning Radical Expressions

Simplifying Square Roots Multiplying Square Roots Dividing Square Roots Adding and Subtracting Square Roots

##### Unit 2: Advanced Radical Expressions

Simplifying Radicals Multiplying Radicals Dividing Radicals Advanced Division Addition and FOILing

##### Unit 3: Radical Equations

##### CHAPTER 45: BEGINNING QUADRATICS

##### Unit 1: Graphing Quadratic Functions

Graphs of Quadratic Functions and Beginning Transformations Graphs of Quadratic Functions and Advanced Transformations Solving Quadratic Equations by Graphing

##### Unit 2: Completing the Square

Square Rooting Both Sides Beginning Completing The Square Advanced Completing The Square

##### Unit 3: The Quadratic Formula

Beginning Quadratic Formula Advanced Quadratic Formula Using The Method of Your Choice

##### Unit 4: Applications: The Pythagorean Theorem

##### CHAPTER 46: IMAGINARY AND COMPLEX NUMBERS

##### Unit 1: Imaginary Numbers

Beginning Imaginary Numbers Advanced Imaginary Numbers

##### Unit 2: Complex Numbers

##### CHAPTER 47: QUADRATIC EQUATIONS AND FUNCTIONS

##### Unit 1: Quadratic Equations

Understanding y – k = a(x – h)^{2} Form Graphing Quadratic Equations in y – k = a(x – h)^{2} Form Writing Quadratic Equations in y – k = a(x – h)^{2} Form

##### Unit 2: Quadratic Functions

Graphing Quadratic Functions The Sum and Product of Roots Formula Writing Quadratic Functions

##### CHAPTER 48: DATA AND STATISTICS

##### Unit 1: Common Graphs and Charts

Pictographs and Line Plots Bar Graphs Line Graphs Circle Graphs

##### Unit 2: Representing Data

Stem-and-Leaf Plots and Frequency Tables Histograms Scatterplots and Trends

##### Unit 3: Central Tendency

Range, Median, and Mode Box-and-Whisker Plots Mean Word Problems

##### Unit 4: Probability

Simple Probability Experimental Probability Probability of Independent Events Probability of Dependent Events

##### Unit 5: Counting Methods

Tree Diagrams and the Counting Principle Permutations Combinations