Math SuperPage Algebra – School of the West

Mathematics: Algebra 1

Algebra brings together all the Math skills learned through elementary school and opens up a new world of abstract math. This Algebra One course is divided into three modules: Pre-Algebra, First Order Equations and Second Order Equations. A student is ready for Algebra when they are confident in the following skills:

Basic operations (Adding, Subtracting, Multiplying, Dividing)
Fractions (Adding, Subtracting, Multiplying and Comparing)
Knowing how to switch between Fractions, Decimals and Percents
Calculating area and perimeter of basic shapes (Geometry)
Ability to read graphs (line, bar, pie)

Pre-Algebra is included in this course (as Module One), so is not needed as a prerequisite.

Module One: Pre-Algebra

Introduction to Algebra

Working with Negative Numbers :

1) Introduction to Negative Numbers

2) Addition and Subtraction of Negative Numbers

3) Multiplication and Division of Negative Numbers

4) Working Through Negative Number Problems

Commutative Property :

5) Commutative Property Simplifies Calculations

6) Using the Commutative Property part 2

Associative Property :

7) Using the Associative Property to Simplify Calculations

8) Gauss example using Associative Property

Distributive Property :

9) Expanding and Factoring of Terms

10) Working through Distributive Property Problems

Identity Property :

11) Identity Property

Inverse Property :

12) Inverse Property

Exponents :

13) Adding and Subtracting Exponents

14) Multiplying Exponents

Order of Operations :

15) Order of Operations

Test yourself with the Module One Exam

Download Module One Exam Answers

Module Two: First Order Equations

1) Algebra Begins

2) Adding Like Terms

3) Multiplying Terms

Solving First Order Equations :

4)…by Eliminating Terms

5)…by Eliminating Factors

6)…by the General Method

7) Inequalities

8) Absolute Value

9) Systems of Equations

Module Three: Second Order Equations

1) Multiplying Sums (FOIL)

2) Multiplying Polynomials

3) Connection with Arithmetic

4) Factoring Polynomials

5) Algebraic Identities

6) Solving Second-Order Equations

7) Unsolvable Equations