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Jump Start Your College Career With Our Custom COMPASS Math Test Prep Courses

MathHelp.com offers 5 custom COMPASS math test prep courses with a personal math teacher. Don’t get stuck in expensive remedial courses. Place out instead!

 

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“Your COMPASS math course was incredible! I had taken my college’s COMPASS placement test and placed into Math 95 (Intermediate Algebra). Then I got a subscription to your site and completed your COMPASS placement course. When I retested I scored into Math 251 (Calculus). Thank you for offering an incredible service! I will definitely be recommending you guys.” – Josh

Key Features of our COMPASS Math Test Prep Courses

COMPASS MATH LESSONS WITH A TEACHER

COMPASS math help for your test

Our COMPASS math lessons cover all the math on the test.  Every lesson includes videos, guided practice, self-tests, worksheets and more.

PRE-TESTS BEFORE EVERY COMPASS MATH LESSON

COMPASS math test prep

Every lesson in our COMPASS math prep course features a quick diagnostic pre-test so you don’t have to waste time on material you already know!

AUTO-GENERATED BACKGROUND LESSONS

find weaknesses while taking your COMPASS test

If you are struggling on a particular topic, MathHelp.com automatically generates relevant background lessons to rebuild your math background!

GRADE REPORTING AND PROGRESS TRACKING

COMPASS math help

We offer detailed grade reporting and progress tracking to keep on task while completing your COMPASS math prep course!

“I was using the COMPASS math course. The program was SO helpful for me. I was applying for the nursing program, and I needed to score a 35 in college algebra to be eligible for admission. I signed up for math help and used it for a month and then retook the COMPASS. I placed into college algebra with a score of 56, which made me eligible for any 100-level math course and the nursing program.”

COMPASS Math Test Prep Reviews

“I recently took my entry COMPASS math test and I had scored a very low score of 35 on my pre algebra..I was told I have the math smarts of about an 8th grader and it will take me a year to get to where I need to be to pass. I subscribed to this site and studied hard for 2 weeks on my own..I then retested today and scored a 50!!! Today I got accepted into the criminal justice program where I needed to get a score of 47. Whoever made this site, I thank you so much and truly don’t have words to describe how happy I am!!! I am forever grateful.”

Tilmer

“I just wanted to say how much I appreciate what your COMPASS math prep website has done for me. I’m a returning college student and I haven’t taken a math class in 10 years. In high school, I was barely able to pass Algebra 1, so I’m pretty terrified of all things math related. When I took the COMPASS exam, I placed in Elementary Algebra. Knowing I could retest, I purchased a subscription and studied my way though your COMPASS prep lessons. I owe you guys so so so so much!! Not only did I do better on the test, but I placed directly into my college transfer class! Nothing short of a miracle could have taught me Algebra so quickly. You’ve saved me semesters, money, and headaches. Now I only wish you offered more advanced courses. THANK YOU!”

Megan

“Amazing!!! I graduated high school 15 years ago and had to take the COMPASS math test to go back to college. Used this program and passed out of College Algebra. It explains everything on the COMPASS test so clearly and thoroughly.”

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“This is really helping me learn and refresh for the COMPASS math. Can’t wait to take the test and see my score.” Alan “The school I want to attend requires a 43 for the math section of the COMPASS test. I tried just winging it the first time and blew it scoring a measly 27. I’ve used this product for 3 months and re-took the COMPASS test today… My 27 is now a 74!!!!! Thank you so much for all the review!!! This wouldn’t be possible without this wonderful COMPASS math test prep program!!!!”

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“I needed help preparing for the COMPASS math test. Finding your web site was a lifesaver! I didn’t even know where to start to figure out what math I needed to learn for the COMPASS. Your web site had it already laid out for me. I loved the individual video lessons. You explained everything so clearly. I was able to watch the videos and recall what I had learned over 30 years ago. Since I never went to college, the college algebra and trig videos were brand new information for me and I understood it totally! Because of your web site, I was able to pass the COMPASS math test with flying colors! Thank you again for wonderful tutoring at a reasonable price.”

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“I have to score Algebra level or higher on the COMPASS math test. It’s been over 10 years since I was in high school. It is true that if don’t use something you lose it. MathHelp.com was an amazing help to get my rusty math gears turning in the right direction. At the end of the month I’m taking the COMPASS math test and I feel comfortable with how far I’ve came using your lessons. I’ve recommended the class to everyone I know that may take the COMPASS math test. MathHelp.com is a lifesaver. Keep up the good work.”

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“I had to sit the COMPASS Test so I used the lessons you have as practice. I am happy to say that I did really well in my COMPASS Test and have gone from hating math to loving it and am even considering changing my major to middle or high school math. This is a wonderful website and the lessons are very clear and easy to follow. I just wish it was around when I was at school as you all make the math fun and interesting. I will definitely be recommending your site to others. Many thanks once again for the COMPASS math test prep.”

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COMPASS Math Test Prep Courses

CHAPTER 1: INTEGERS

Unit 1: Positives and Negatives

Addition and Subtraction

Multiplication and Division

Word Problems

Unit 2: Order of Operations / Evaluation

Order of Operations

Evaluation

Unit 3: Absolute Value

Absolute Value

CHAPTER 2: 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: Operations with Fractions

Least Common Multiple

Addition and Subtraction

Multiplication and Division

Order of Operations

Unit 4: Operations with Mixed Numbers

Adding Mixed Numbers

Subtracting Mixed Numbers

Multiplying Mixed Numbers

Dividing Mixed Numbers

CHAPTER 3: DECIMALS

Unit 1: Decimal Concept

Understanding Decimals

Converting Decimals to Fractions

Converting Fractions to Decimals

Unit 2: Addition and Subtraction

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

CHAPTER 4: EXPRESSIONS & EQUATIONS

Unit 1: Variables and Expressions

Combining Like Terms

Distributive Property

Distributive / Like Terms

Unit 2: Beginning Equations

One-Step Equations

Two-Step Equations

Unit 3: Intermediate Equations

Equations with Fractions

Equations Involving Distributive

Unit 4: Advanced Equations

Variable on Both Sides

Variable on Both Sides / Fractions

Variable on Both Sides / Distributive

Fractional Solutions

Unit 5: Word Problems

Number Problems

Value Problems

Introductory Motion Problems

CHAPTER 5: INEQUALITIES & FUNCTIONS

Unit 1: Inequalities

Solving and Graphing Inequalities

Unit 2: Functions

The Coordinate System

Domain and Range

Definition of a Function

Function and Arrow Notation

CHAPTER 6: LINEAR EQUATIONS & SYSTEMS OF EQUATIONS

Unit 1: Slope

Using the Graph of a Line to Find Slope

Using Slope to Graph a Line

Using Coordinates to Find Slope

Unit 2: Slope-Intercept Form

Using Slope-Intercept Form to Graph a Line

Converting to Slope-Intercept Form and Graphing

Unit 3: Writing Equations of Lines

Standard Form

The Point-Slope Formula

Given Two Points

Unit 4: Systems of Equations

By Addition

By Substitution

CHAPTER 7: EXPONENTS & POLYNOMIALS

Unit 1: Exponent Rules

The Product Rule

The Power Rule

The Quotient Rule

Unit 2: Multiplying Polynomials

The Distributive Property

F.O.I.L.

Advanced Problems

CHAPTER 8: FACTORING & RATIONAL EXPRESSIONS

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: Polynomial Equations

Beginning Equations

Unit 5: Rational Expressions

Simplifying Rational Expressions

Multiplying and Dividing Rational Expressions

CHAPTER 9: RADICALS

Unit 1: Beginning Radicals

Simplifying Radicals

Multiplying Radicals

Dividing Radicals

Unit 2: Advanced Radicals

Addition and FOILing

Advanced Division

Unit 3: Radical Equations

Radical Equations

Unit 4: Imaginary and Complex Numbers

Beginning Imaginary Numbers

Beginning Complex Numbers

CHAPTER 10: RATIO, PROPORTION, & 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 Problems

Percent Increase or Decrease

Discount

Sales Tax

Interest

CHAPTER 11: ANGLES & TRIANGLES

Unit 1: Angles

Angles and Measure

Angle Addition Postulate and Angle Bisector

Unit 2: Angle Pairs

Complementary and Supplementary Angles (Part 1)

Complementary and Supplementary Angles (Part 2)

Vertical Angles

Unit 3: Parallel Lines

Vocabulary

Given Lines are Parallel

Unit 4: Angles of a Triangle

Vocabulary and Triangle Sum Theorem

Isosceles Triangle Theorems

CHAPTER 12: SIMILARITY

Unit 1: Ratio and Proportion

Ratio

Proportion

Unit 2: Similar Polygons

Properties of Similar Polygons

Angle-Angle Similarity Postulate

Word Problems

CHAPTER 13: RIGHT TRIANGLES & CIRCLES

Unit 1: The Pythagorean Theorem

The Pythagorean Theorem

Word Problems

Converse of the Pythagorean Theorem

Unit 2: Special Right Triangles

30-60-90 and 45-45-90 degree Triangles (Part I)

Unit 3: Trigonometry

Sine, Cosine, and Tangent (Part I)

Sine, Cosine, and Tangent (Part II)

Word Problems

Unit 4: Circles

Vocabulary

Arcs and Central Angles

Inscribed Angles

CHAPTER 14: MEASUREMENT

Unit 1: Perimeter and Circumference

Perimeter

Circumference

Unit 2: Beginning Area

Area of Squares and Rectangles

Area of Triangles

Area of Parallelograms and Trapezoids

Area of a Circle

Unit 3: Advanced Area

Area of Rectangles and Squares (Part I)

Area of Parallelograms

Area of Triangles

Area of Trapezoids

Area and Circumference of Circles

Unit 4: Surface Area and Volume

Surface Area

Volume of Prisms and Pyramids

CHAPTER 15: STATISTICS

Unit 1: Central Tendency

Range, Median, and Mode

Mean

Word Problems

CHAPTER 16: COORDINATE GEOMETRY

Unit 1: Segments in the Coordinate Plane

Distance Formula

Midpoint Formula

Unit 2: Circles in the Coordinate Plane

Equation of a Circle

CHAPTER 17: NEGATIVE & RATIONAL EXPONENTS

Unit 1: Simplifying Expressions with Negative Exponents

Negative Exponents

Negative Exponent Rules

Multiplying and Dividing with Negative Exponents

Unit 2: Operations with Scientific Notation

Multiplying and Dividing Scientific Notation

Unit 3: Rational Exponents and Radical Expressions

Rational Exponents

Fractional Exponents

Writing Radicals in Exponential Form

Unit 4: Equations with Rational Exponents and Simplifying with Radical Exponents

Solving Equations with Rational Exponents

Radical Exponents

CHAPTER 18: COMPOSITE FUNCTIONS & INVERSES

Unit 1: Composite Functions

Composite Functions: f(g(x)) and g(f(x))

Unit 2: Inverses

Inverse Relations

Inverse Functions

CHAPTER 19: LOGARITHMS & EXPONENTIAL FUNCTIONS

Unit 1: Introduction to Logarithms

Logarithms and Logarithmic Functions

Solving Logarithmic Equations

Unit 2: Properties of Logarithms

Logarithm Rules and Properties

Evaluating Logarithms by Condensing or Expanding

Solving Advanced Log Equations

Unit 3: Evaluating Logarithms with a Calculator

Log Calculator Problems

Unit 4: Exponential Equations and Logarithms

Exponential Equations and Change of Base Formula

Exponential Growth and Decay

Half Life Formula and Doubling Time Formula

Unit 5: The Natural Logarithm

Natural Logarithms

Solving Natural Logarithm Equations with ln and e

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: Properties and Rules

Order of Operations

Grouping Symbols

Variables

Addition Properties

Multiplication Properties

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

Order of Operations

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

Unit 6: Operations with Real Numbers

Addition and Subtraction

Multiplication and Division

Order of Operations

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 EXPRESSIONS & EQUATIONS

Unit 1: Algebraic Expressions

Evaluating Expressions

Modeling Expressions

Unit 2: Solving One-Step Equations

Introduction to Equations

Addition Equations

Subtraction Equations

Multiplication Equations

Division Equations

Unit 3: Writing and Solving Equations

Writing and Solving Equations

CHAPTER 6: RATIO, PROPORTION, & 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

Discount

Sales Tax

Interest

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

Nets

Unit 4: Congruent and Similar Figures

Congruent Figures

Similar Figures

Problem Solving with Similar Figures

Unit 5: Symmetry

Symmetry

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

Unit 4: Square Roots and the Pythagorean Theorem

Square Roots

Using Square Roots to Solve Equations

Pythagorean Theorem

Pythagorean Triples

CHAPTER 9: PROBABILITY & STATISTICS

Unit 1: Common Graphs and Charts

Bar Graphs

Line Graphs

Circle Graphs

Unit 2: Central Tendency

Range, Median, and Mode

Mean

Word Problems

Unit 3: Probability

Simple Probability

CHAPTER 1: WHOLE NUMBERS & PROPERTIES

Unit 1: Exponents and Order of Operations

Exponents

Order of Operations

Grouping Symbols

Unit 2: Introduction to Variables

Variables

Unit 3: Properties of Real Numbers

Addition Properties

Multiplication Properties

CHAPTER 2: INTEGERS

Unit 1: Introduction to Integers

Graphing and Writing Integers

Comparing Integers

Opposites and Absolute Value

Unit 2: Operations with Integers

Addition and Subtraction

Multiplication and Division

Unit 3: Order of Operations and Evaluating Expressions

Order of Operations

Evaluation

Integers

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)

Unit 3: Comparing Fractions

Improper Fractions and Mixed Numbers

Comparing Proper Fractions

Comparing Mixed Numbers and Improper Fractions

Unit 4: Operations with Fractions

Adding and Subtracting Like Fractions

Adding and Subtracting Unlike Fractions

Multiplying Fractions

Dividing Fractions

Unit 5: Operations with Rational Numbers

Addition and Subtraction

Multiplication and Division

Order of Operations

Evaluation

CHAPTER 4: DECIMALS

Unit 1: Decimal Concepts

Understanding Decimals

Converting Decimals to Fractions

Converting Fractions to Decimals

Comparing Decimals

Rounding Decimals

Unit 2: Scientific Notation

Powers of Ten

Converting from Scientific to Standard Notation

Converting from Standard to Scientific Notation

Unit 3: Rational and Irrational Numbers

Terminating and Repeating Decimals

Determining if a Number is Rational or Irrational

CHAPTER 5: ALGEBRAIC EXPRESSIONS & EQUATIONS

Unit 1: Simplifying Algebraic Expressions

Combining Like Terms

Distributive Property

Distributive / Like Terms

Unit 2: Solving One- and Two-Step Equations

One-Step Equations

Two-Step Equations

Equations with Fractions

Unit 3: Multi-Step Equations

Equations Involving Distributive

Variable on Both Sides

Variable on Both Sides / Fractions

Variable on Both Sides / Distributive

Unit 4: Formulas

Beginning Formulas

Advanced Formulas

CHAPTER 6: WORD PROBLEMS

Unit 1: Modeling Expressions and Equations

Translating English to Algebra

Modeling Two-Step Equations

Unit 2: Solving Word Problems

Number Problems

Geometry Problems

Value Problems

Introductory Motion Problems

CHAPTER 7: INEQUALITIES, FUNCTIONS, & GRAPHING

Unit 1: Solving Linear Inequalities in One Variable

Solving and Graphing Inequalities

Combined Inequalities

Unit 2: Graphing and Functions

The Coordinate System

Domain and Range

Definition of a Function

Function and Arrow Notation

Unit 3: Graphing Linear Equations

Graphing Lines

The Intercept Method

Unit 4: Linear Inequalities in Two Variables

Graphing Inequalities in Two Variables

CHAPTER 8: LINEAR EQUATIONS & GRAPHING

Unit 1: Slope of a Line

Using the Graph of a Line to Find Slope

Using Slope to Graph a Line

Using Coordinates to Find Slope

Unit 2: Slope-Intercept Form

Using Slope-Intercept Form to Graph a Line

Converting to Slope-Intercept Form and Graphing

Unit 3: Writing Equations in Slope-Intercept Form

Using Graphs and Slope-Intercept Form

Using Tables and Slope-Intercept Form

Unit 4: Equations in Standard and Point-Slope Form

Standard Form

The Point-Slope Formula

Given Two Points

Parallel and Perpendicular

CHAPTER 9: SYSTEMS OF EQUATIONS IN TWO VARIABLES

Unit 1: Solving Systems of Equations

By Graphing

By Addition

By Substitution

Unit 2: Word Problems with Systems of Equations

Number and Value Problems

CHAPTER 10: EXPONENTS & 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

Unit 3: Multiplying Polynomials

The Distributive Property

F.O.I.L.

Advanced Problems

CHAPTER 11: 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: Factoring Trinomials

Coefficient on x2 Term, Positive Constant

Coefficient on x2 Term, Negative Constant

Unit 4: Factoring Completely

Factoring Out G.C.F. as First Step

Unit 5: Solving Polynomial Equations by Factoring

Beginning Equations

Intermediate Equations

CHAPTER 12: RATIONAL EXPRESSIONS & 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: Solving Rational Equations

Beginning Rational Equations

CHAPTER 13: RADICAL EXPRESSIONS & EQUATIONS

Unit 1: Beginning Radical Expressions

Simplifying Radicals

Multiplying Radicals

Dividing Radicals

Unit 2: Advanced Radical Expressions

Addition and FOILing

Advanced Division

Unit 3: Solving Radical Equations

Beginning Equations

CHAPTER 14: QUADRATIC EQUATIONS

Unit 1: Quadratic Equations and Graphing

Graphs of Quadratic Functions and Beginning Transformations

Graphs of Quadratic Functions and Advanced Transformations

Unit 2: Completing the Square

Square Rooting Both Sides

Beginning Completing The Square

Unit 3: The Quadratic Formula

Beginning Quadratic Formula

Unit 4: The Pythagorean Theorem

Pythagorean Theorem

Pythagorean Triples

CHAPTER 15: RATIO & PROPORTION

Unit 1: Ratio

Introduction to Ratios

Equal Ratios

Unit 2: Proportion

Introduction to Proportion

Solving Proportions

Proportion

CHAPTER 16: PERCENTS

Unit 1: Percent Concepts

Understanding Percents

Fractions and Percents

Decimals and Percents

Unit 2: Percent Problems and Applications

Percent Problems

Percent Increase or Decrease

Discount

Sales Tax

Unit 3: Interest

Interest

Interest Problems

CHAPTER 17: DATA & STATISTICS

Unit 1: Common Graphs and Charts

Bar Graphs

Line Graphs

Circle Graphs

Unit 2: Representing Data

Stem-and-Leaf Plots and Frequency Tables

Scatterplots and Trends

Unit 3: Central Tendency

Range, Median, and Mode

Mean

Word Problems

CHAPTER 18: COORDINATE GEOMETRY

Unit 1: Segments in the Coordinate Plane

Distance Formula

Midpoint Formula

Unit 2: Circles in the Coordinate Plane

Equation of a Circle

CHAPTER 19: NEGATIVE & RATIONAL EXPONENTS

Unit 1: Simplifying Expressions with Negative Exponents

Negative Exponents

Negative Exponent Rules

Multiplying and Dividing with Negative Exponents

Unit 2: Operations with Scientific Notation

Multiplying and Dividing Scientific Notation

Unit 3: Rational Exponents and Radical Expressions

Rational Exponents

Fractional Exponents

Writing Radicals in Exponential Form

CHAPTER 1: EVALUATING EXPRESSIONS

Unit 1: Introduction to Variables, Exponents, and Properties

Exponents

Variables

Field Properties

Unit 2: Integers

Graphing and Writing Integers

Comparing Integers

Opposites and Absolute Value

Addition and Subtraction

Multiplication and Division

Unit 3: Order of Operations and Evaluating Algebraic Expressions

Order of Operations

Evaluation

Unit 4: Operations with Rational Numbers

Least Common Multiple

Addition and Subtraction

Multiplication and Division

Unit 5: Expressions with Absolute Value

Integers

CHAPTER 2: DECIMALS & SCIENTIFIC NOTATION

Unit 1: Scientific Notation

Powers of Ten

Converting from Scientific to Standard Notation

Converting from Standard to Scientific Notation

Unit 2: Rational and Irrational Numbers

Terminating and Repeating Decimals

Determining if a Number is Rational or Irrational

CHAPTER 3: SOLVING LINEAR EQUATIONS IN ONE VARIABLE

Unit 1: Patterns

Patterns with Whole Numbers

Patterns with Fractions, Decimals, and Integers

Advanced Patterns

Unit 2: Simplifying Algebraic Expressions

Combining Like Terms

Distributive Property

Distributive / Like Terms

Unit 3: Beginning Equations

One-Step Equations

Two-Step Equations

Equations with Fractions

Unit 4: Multi-Step Equations

Equations Involving Distributive

Variable on Both Sides

Variable on Both Sides / Fractions

Variable on Both Sides / Distributive

Unit 5: Formulas

Beginning Formulas

Advanced Formulas

CHAPTER 4: WORD PROBLEMS

Unit 1: Modeling Expressions and Equations

Translating English to Algebra

Modeling Two-Step Equations

Unit 2: Solving Word Problems

Number Problems

Geometry Problems

Value Problems

Unit 3: Mixture and Motion Problems

Introductory Motion Problems

Mixture Problems

CHAPTER 5: INEQUALITIES, ABSOLUTE VALUE, FUNCTIONS, & GRAPHING

Unit 1: Linear Inequalities in One Variable

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 6: LINEAR EQUATIONS IN TWO VARIABLES

Unit 1: Slope

Using the Graph of a Line to Find Slope

Using Slope to Graph a Line

Using Coordinates to Find Slope

Unit 2: Slope-Intercept Form

Using Slope-Intercept Form to Graph a Line

Converting to Slope-Intercept Form and Graphing

Unit 3: Writing Equations in Slope-Intercept Form

Using Tables and Slope-Intercept Form

Unit 4: Point-Slope and Standard Forms

Standard Form

The Point-Slope Formula

Given Two Points

Parallel and Perpendicular

Unit 5: Direct Variation and Applications of Linear Functions

Direct Variation

Applications of Direct Variation and Linear Functions

CHAPTER 7: SYSTEMS OF EQUATIONS

Unit 1: Solving Systems of Equations

By Graphing

By Addition

By Substitution

Advanced Systems

Unit 2: Word Problems

Number and Value Problems

CHAPTER 8: EXPONENTS & POLYNOMIALS

Unit 1: Exponent Rules

The Product Rule

The Power Rule

The Quotient Rule

Unit 2: Advanced Exponents

Numerical Bases and Exponents of Zero

Combining Exponent Rules

Unit 3: Multiplying Polynomials

The Distributive Property

F.O.I.L.

Advanced Problems

CHAPTER 9: FACTORING

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: Factoring Trinomials

Coefficient on x2 Term, Positive Constant

Coefficient on x2 Term, Negative Constant

Unit 4: Factoring by Grouping

Basic Technique

Advanced Strategies

Unit 5: Factoring Completely

Factoring Out G.C.F. as First Step

Factoring Difference of Two Squares as Last Step

Unit 6: Polynomial Equations

Beginning Equations

Intermediate Equations

CHAPTER 10: RATIONAL EXPRESSIONS & 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

Complex Fractions

Unit 3: Rational Equations

Beginning Rational Equations

Advanced Rational Equations

Unit 4: Inverse Variation

Inverse Variation

CHAPTER 11: RADICAL EXPRESSIONS & EQUATIONS

Unit 1: Beginning Radical Expressions

Simplifying Radicals

Multiplying Radicals

Dividing Radicals

Unit 2: Advanced Radical Expressions

Addition and FOILing

Advanced Division

Unit 3: Radical Equations

Beginning Equations

Advanced Equations

CHAPTER 12: QUADRATIC EQUATIONS

Unit 1: Completing the Square

Square Rooting Both Sides

Beginning Completing The Square

Advanced Completing The Square

Unit 2: The Quadratic Formula

Beginning Quadratic Formula

CHAPTER 13: IMAGINARY & COMPLEX NUMBERS

Unit 1: Imaginary Numbers

Beginning Imaginary Numbers

Advanced Imaginary Numbers

Unit 2: Complex Numbers

Beginning Complex Numbers

Advanced Complex Numbers

CHAPTER 14: QUADRATIC FUNCTIONS

Unit 1: Quadratic Equations in Vertex Form

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 and Graphing

Graphing Quadratic Functions

The Sum and Product of Roots Formula

Writing Quadratic Functions

CHAPTER 15: RATIO & PROPORTION

Unit 1: Ratio and Proportion

Ratio

Proportion

Unit 2: Similar Figures

Properties of Similar Polygons

Angle-Angle Similarity Postulate

Word Problems

CHAPTER 16: RIGHT TRIANGLES

Unit 1: The Pythagorean Theorem

The Pythagorean Theorem

Word Problems

Unit 2: Special Right Triangles

30-60-90 and 45-45-90 degree Triangles (Part I)

Unit 3: Right Triangle Trigonometry

Sine, Cosine, and Tangent (Part I)

Sine, Cosine, and Tangent (Part II)

Word Problems

CHAPTER 17: PROBABILITY AND COUNTING

Unit 1: Probability

Simple Probability

Probability of Independent Events

Probability of Dependent Events

Unit 2: Counting Methods

Tree Diagrams and the Counting Principle

Permutations

Combinations

CHAPTER 18: COORDINATE GEOMETRY

Unit 1: Segments in the Coordinate Plane

Distance Formula

Midpoint Formula

Unit 2: Circles in the Coordinate Plane

Equation of a Circle

CHAPTER 19: NEGATIVE & RATIONAL EXPONENTS

Unit 1: Simplifying Expressions with Negative Exponents

Negative Exponents

Negative Exponent Rules

Multiplying and Dividing with Negative Exponents

Unit 2: Operations with Scientific Notation

Multiplying and Dividing Scientific Notation

Unit 3: Rational Exponents and Radical Expressions

Rational Exponents

Fractional Exponents

Writing Radicals in Exponential Form

Unit 4: Equations with Rational Exponents and Simplifying with Radical Exponents

Solving Equations with Rational Exponents

Radical Exponents

CHAPTER 20: COMPOSITE FUNCTIONS & INVERSES

Unit 1: Composite Functions

Composite Functions: f(g(x)) and g(f(x))

Unit 2: Inverses

Inverse Relations

Inverse Functions

CHAPTER 21: LOGARITHMS & EXPONENTIAL FUNCTIONS

Unit 1: Introduction to Logarithms

Logarithms and Logarithmic Functions

Solving Logarithmic Equations

Unit 2: Properties of Logarithms

Logarithm Rules and Properties

Evaluating Logarithms by Condensing or Expanding

Solving Advanced Log Equations

Unit 3: Evaluating Logarithms with a Calculator

Log Calculator Problems

Unit 4: Exponential Equations and Logarithms

Exponential Equations and Change of Base Formula

Exponential Growth and Decay

Half Life Formula and Doubling Time Formula

Unit 5: The Natural Logarithm

Natural Logarithms

Solving Natural Logarithm Equations with ln and e

CHAPTER 1: ALGEBRA REVIEW

Unit 1: Solving Linear Equations

Equations Involving the Distributive Property

Equations with the Variable on Both Sides

Unit 2: Slope

Using the Graph of a Line to Find Slope

Using Coordinates to Find Slope

Unit 3: Equations of Lines in Slope-Intercept Form

Using Slope-Intercept Form to Graph a Line

Converting to Slope-Intercept Form and Graphing

Using Graphs and Slope-Intercept Form

Using Tables and Slope-Intercept Form

Unit 4: Equations of Lines in Standard Form

Standard Form

The Point-Slope Formula

Given Two Points

Parallel and Perpendicular

Unit 5: Solving Systems in Two Variables

Solving Systems by Addition

Solving Systems by Substitution and Method of Choice

Unit 6: Factoring and Polynomial Equations

Factoring Trinomials

Factoring Trinomials and Difference of Two Squares

Polynomial Equations

Square Rooting Both Sides

CHAPTER 2: SYMMETRY & TRANSFORMATIONS

Unit 1: Symmetry and Transformations

Symmetry

Transformations

Unit 2: Types of Transformations

Reflections

Translations

Rotations

Dilations

CHAPTER 3: INTRODUCTION TO GEOMETRY

Unit 1: Basic Figures

Points, Lines, Planes, and Space

Segments, Rays, and Length

Segment Addition Postulate and Midpoint

Angles and Measure

Angle Addition Postulate and Angle Bisector

Unit 2: Reasoning

Inductive vs. Deductive Reasoning

Conditional Statements

Unit 3: Beginning Proofs

Properties

Algebra Proofs with Properties

Geometry Proofs with Midpoints and Angle Bisectors

CHAPTER 4: ANGLE PAIRS & PERPENDICULAR LINES

Unit 1: Angle Pairs

Complementary and Supplementary Angles (Part 1)

Complementary and Supplementary Angles (Part 2)

Vertical Angles

Unit 2: Perpendicular Lines

Problems Involving Perpendicular Lines

Theorems Involving Perpendicular Lines

CHAPTER 5: PARALLEL LINES & POLYGONS

Unit 1: Parallel Lines

Vocabulary

Given Lines are Parallel

Proving Lines are Parallel

Unit 2: Angles of a Triangle

Vocabulary and Triangle Sum Theorem

Algebra Problems

Word Problems and Exterior Angle Theorem

Unit 3: Polygons

Vocabulary

Sum of Interior and Exterior Angles

Regular Polygons

CHAPTER 6: TRIANGLES

Unit 1: Congruency and Triangle Concepts

Congruent Figures

Proving Triangles are Congruent by SSS, SAS, and ASA

Unit 2: Advanced Triangle Concepts

Isosceles Triangle Theorems

Proving Triangles are Congruent by AAS and HL

Medians, Altitudes, and Perpendicular Bisectors

CHAPTER 7: QUADRILATERALS

Unit 1: Parallelograms

Properties of Parallelograms

Proving a Quadrilateral is a Parallelogram

More Parallel Line Theorems

Unit 2: More Quadrilaterals

Rectangles, Rhombuses, and Squares

Trapezoids

CHAPTER 8: SIMILARITY

Unit 1: Ratio and Proportion

Ratio

Proportion

Unit 2: Similar Polygons

Properties of Similar Polygons

Angle-Angle Similarity Postulate

Word Problems

Unit 3: Similarity Theorems

SSS and SAS Similarity Theorems

Triangle Proportionality and Triangle Angle-Bisector Theorems

CHAPTER 9: RIGHT TRIANGLES

Unit 1: Review of Radical Expressions

Simplifying Square Roots

Multiplying Square Roots

Dividing Square Roots

Adding and Subtracting Square Roots

Unit 2: The Pythagorean Theorem

The Pythagorean Theorem

Word Problems

Converse of the Pythagorean Theorem

Unit 3: Special Right Triangles

30-60-90 and 45-45-90 degree Triangles (Part I)

30-60-90 and 45-45-90 degree Triangles (Part II)

Unit 4: Right Triangle Trigonometry

Sine, Cosine, and Tangent (Part I)

Sine, Cosine, and Tangent (Part II)

Word Problems

CHAPTER 10: CIRCLES

Unit 1: Circle Vocabulary and Tangents

Vocabulary

Tangents

Unit 2: Arcs, Central Angles, and Chords

Arcs and Central Angles

Beginning Arcs and Chords

Advanced Arcs and Chords

Unit 3: Angles and Segments

Inscribed Angles

Angles Formed by Chords, Secants, and Tangents

Unit 4: Segment Lengths

Theorems and Beginning Problems

Advanced Problems

CHAPTER 11: REVIEW OF BASIC PERIMETER & AREA CONCEPTS

Unit 1: Perimeter and Circumference

Perimeter

Circumference

Word Problems

Unit 2: Area

Area of Squares and Rectangles

Area of Triangles

Area of Parallelograms and Trapezoids

Area of a Circle

Unit 3: Changing Dimensions and Word Problems

Changing Dimensions

Word Problems

CHAPTER 12: AREA

Unit 1: Areas of Rectangles, Squares, and Parallelograms

Area of Rectangles and Squares (Part I)

Area of Rectangles and Squares (Part II)

Area of Parallelograms

Unit 2: Areas of Triangles, Rhombuses, and Trapezoids

Area of Triangles

Area of Rhombuses

Area of Trapezoids

Unit 3: Areas of Regular Polygons and Circles

Area of Regular Polygons

Area and Circumference of Circles

CHAPTER 13: REVIEW OF BASIC VOLUME & SURFACE AREA CONCEPTS

Unit 1: Properties of Three-Dimensional Figures

Classifying 3-Dimensional Figures

Nets

Perspective Drawings

Unit 2: Surface Area

Surface Area

Unit 3: Volume

Volume of Prisms and Pyramids

Volume of Cylinders, Spheres, and Cones

Word Problems

CHAPTER 14: VOLUME & SURFACE AREA

Unit 1: Prisms

Vocabulary, Formulas, and Right Rectangular Prisms

Advanced Right Prisms

Unit 2: Pyramids

Vocabulary, Formulas, and Regular Square Pyramids

Advanced Regular Pyramids

Unit 3: Cylinders, Cones, and Spheres

Cylinders and Cones

Spheres

CHAPTER 15: COORDINATE GEOMETRY

Unit 1: Segments in the Coordinate Plane

Distance Formula

Midpoint Formula

Unit 2: Circles in the Coordinate Plane

Equation of a Circle