### Course Introduction

In this course, you will study basic algebraic operations and concepts, as well as the structure and use of algebra. This includes solving algebraic equations, factoring algebraic expressions, working with rational expressions, and graphing linear equations. You will apply these skills to solve real-world problems (word problems). Each unit will have its own application problems, depending on the concepts you have been exposed to. This course is also intended to provide you with a strong foundation for intermediate algebra and beyond. It will begin with a review of some math concepts formed in pre-algebra, such as ordering operations and simplifying simple algebraic expressions, to get your feet wet. You will then build on these concepts by learning more about functions, graphing of functions, evaluation of functions, and factorization. You will spend time on the rules of exponents and their applications in distribution of multiplication over addition/subtraction.

### Unit 1: Review of Major Pre-Algebra Concepts

We begin by quickly reviewing the basics of pre-algebra concepts. Materials covered in this unit will be familiar to those who have had pre-algebra. With a little more practice of the suggested problems and homework, every student, regardless of previous background, should be able to grasp the main concepts.

**Completing this unit should take you approximately 26 hours.**### Unit 2: Solving Linear Inequalities and Graphing

In this unit, you will learn to apply the concept of solving equations to solve problems involving linear inequalities. You will also learn how to graph a straight line, use different methods to find the slope and intercept of a line, and interpret slope and intercept. You will learn more about types of straight lines.

**Completing this unit should take you approximately 20 hours.**### Unit 3: Exponents and Polynomials

This section introduces you to the concept of evaluating exponents, converting scientific notations to decimal notations, and vice versa. You will apply these concepts to evaluating polynomial expressions.

**Completing this unit should take you approximately 19 hours.**### Unit 4: Factoring Polynomials

This unit expands on what you learned in Unit 3. In Unit 4, you will learn to factor the greatest common factor by grouping and other factoring methods. Because factoring and distribution are opposite actions, you will be able to determine whether you have factored correctly by going in the opposite direction, which is distributing through multiplication.

**Completing this unit should take you approximately 19 hours.**### Unit 5: Rational Expression

In this unit, you will learn how to evaluate rational expressions and perform operations such as addition, multiplication, and division involving rational expressions. You will apply the concept of multiplying rational expressions to dimensional analysis, where you will convert units from single/dual unit of measurement to another.

**Completing this unit should take you approximately 17 hours.**