Pre-Algebra Topics

The topics here are organized according to the order in which we cover them. Generally they are grouped by chapter, but there are some exceptions. If you are having trouble locating a particular concept, try searching the site. Most topics include the objective for the lesson, a PDF of the notes and homework assignment in case you are absent or forgot it, and links to sites that can help you better understand the skill.

Algebra - What is it and why do we study it?


Chapter 1

Expressions and Variables

Powers

Order of Operations

Substitute for a Variable

Introduction to Integers

Adding Integers

Subtracting Integers

Sequences

Multiplying and Dividing Integers

Order of Operations with Integers

Coordinate System

Chapter 1 Review

Chapters 2 & 3

Properties

Distributive Property

Simplifying Variable Expressions

Variables and Equations

Addition and Subtraction Equations

Multiplication and Division Equations

Equations with Decimals

Two-Step Equations

Writing Equations

Multi-Step Equations

Solving Equations with Variables on Both Sides

Introduction to Inequalities

Addition and Subtraction Inequalities

Multiplication and Division Inequalities

Multi-Step Inequalities

Inequalities with Variables on Both Sides

Compound Inequalities

Chapters 2 & 3 Review

Chapter 4

Divisibility Rules

Prime Factorization

Greatest Common Factors

Simplifying Fractions

Least Common Multiples

Venn Diagrams

Exponent Rules

Negative Exponents

Scientific Notation

Chapter 4 Review

Chapter 5

Rational Numbers

Repeating Decimals to Fractions

Adding and Subtracting Like Fractions

Adding and Subtracting Unlike Fractions

Multiplying Fractions

Dividing Fractions

Word Problems with Fractions

Multiplicative Inverses to Solve Equations

Clearing Fractions and Decimals

Chapter 5 Review

Chapters 6 & 7

Measures of Central Tendency

Box and Whisker Plots

Ratios and Rates

Proportions

Fraction/Decimal/Percent Conversions

Percent Proportion

Percent Equation

Chapters 6 & 7 Review

Chapter 8

Relations and Functions

Equations with Two Variables

Function Notation

Using Graphs to Predict

Slope

X and Y Intercepts

Slope Intercept Form

Systems of Equations

Linear Inequalities

Systems of Linear Inequalities

Chapter 8 Review