# COMPASS Math Study Guide

Hello! And welcome to the mathematics page of the COMPASS preparation and review. Here you will find free helpful videos over the various basic mathematical application and analysis skills you will need to succeed on your COMPASS exam. The COMPASS exam is not timed, but it is very important to have a firm grasp on these skills in order to do well on the exam. New free video tutorials are added weekly, so be sure to like, share, and regularly stop by for more helpful content. Also, Mometrix offers valuable study guides and flashcards for the COMPASS exam. Links to these products are available under the products and services tab at the bottom of the page. Thank you, and good luck on your COMPASS exam.

## Math Basics

### Lesson 1: Positives and Negatives

- Addition and Subtraction
- Multiplication and Division
- Word Problems with Subtraction
- Word Problems with Multiplication

### Lesson 2: Order of Operations/Evaluation

### Lesson 3: Absolute Value

### Lesson 4: Factors and Multiples

- Prime Numbers, Factoring, and Prime Factorization
- Prime Numbers Explained
- Overview of Multiples
- Least Common Multiples
- Greatest Common Factor

## Fractions

### Lesson 1: Fractions and Mixed Numbers

### Lesson 2: Operations with Fractions

### Lesson 3: Operations with Mixed Numbers

- Adding and Subtracting Mixed Numbers with the Same Denominator
- Adding and Subtracting Mixed Numbers with Different Denominators
- Multiplying Mixed Numbers
- Dividing Mixed Numbers

## Decimals

### Lesson 1: Decimal Concept

- Introduction to Decimals
- Converting Decimals to Fractions and Percentages
- Converting Decimals to Improper Fractions and Mixed Numbers
- Converting Fractions to Percentages and Decimals
- Converting Improper Fractions to Mixed Numbers and Decimals

### Lesson 2: Addition and Subtraction

### Lesson 3: Multiplication and Division

### Lesson 4: Scientific Notation

## Expressions and Equations

### Lesson 1: Variables and Expressions

### Lesson 2: Beginning Equations

- Solving Equations Using Addition and Subtraction
- Solving Equations Using Multiplication and Division

### Lesson 3: Intermediate Equations

### Lesson 4: Word Problems

- Number Problems Explained
- Word Problems with Addition
- Word Problems with Subtraction
- Word Problems with Multiplication
- Word Problems with Division

## Inequalities and Functions

### Lesson 1: Inequalities

- Solving and Graphing Inequalities
- Solving Inequalities Using All 4 Basic Operations
- Solving Inequalities Using Addition and Subtraction
- Solving Inequalities Using Multiplication and Division
- Graphing Solutions to Linear Inequalities

### Lesson 2: Functions

## Linear Equations and Systems of Equations

### Lesson 1: Slope

### Lesson 2: Slope-Intercept Form

### Lesson 3: Writing Equations of Lines

### Lesson 4: Systems of Equations

## Exponents and Polynomials

### Lesson 1: Exponent Rules

- Introduction to Exponents
- Laws of Exponents
- Multiplication and Division of Exponents
- Addition and Subtraction of Exponents

### Lesson 2: Multiplying Polynomials

## Factoring and Rational Expressions

### Lesson 1: Factoring

### Lesson 2: Polynomial Equations

### Lesson 3: Rational Expressions

## Radicals

### Lesson 1: Beginning Radicals

### Lesson 2: Advanced Radicals

## Ratio, Proportion, and Percent

### Lesson 1: Ratios

### Lesson 2: Proportion

### Lesson 3: Percent Concept

- Understanding Percents
- Converting Fractions to Percents
- Converting Percents to Fractions
- Converting Decimals to Percents
- Converting Percents to Decimals
- Proportions and Percents
- Computation with Percentages
- Percent Change Explained
- Finding a Number Given the Percentage of the Whole

## Angles and Triangles

### Lesson 1: Angles

## Similarity

### Lesson 1: Similar Polygons

## Right Triangles and Circles

### Lesson 1: The Pythagorean Theroem

### Lesson 2: Trigonometry

- Commonly Encountered Angles
- Identifying Sign of a Trigonometric Function
- Cosine
- Defined and Reciprocal Functions

### Lesson 3: Circles

## Measurements

### Lesson 1: Perimeter, Area and Circumference

- Perimeter and Area of a Triangle
- Perimeter and Area of a Trapezoid
- Perimeter and Area of a Square
- Perimeter and Area of a Rectangle
- Perimeter and Area of a Parallelogram
- Algebraic Reasoning with Area and Perimeter
- Area of an Octagon
- Area of a Rectangle with a Semi-Circle

### Lesson 2: Surface Area and Volume

- Surface Area and Volume of a Sphere
- Surface Area and Volume of a Right Circular Cylinder
- Surface Area and Volume of a Right Circular Cone
- Surface Area and Volume of a Rectangluar Solid
- Surface Area and Volume of a Pyramid
- Surface Area and Volume of a Cube
- Surface Area and Volume of a Cylinder

## Statistics

### Lesson 1: Central Tendency

COMPASS Test – Home

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Last updated: 12/12/2018