**I. Course Description**

Covers the topics of Algebra I including real numbers,
equations and inequalities,

exponents, polynomials, factoring, Cartesian coordinate system, rational
expressions, and

applications. Develops the mathematical proficiency necessary for selected
curriculum

entrance. Credits not applicable toward graduation. Prerequisites: a placement

recommendation for MTH 03 and Arithmetic or equivalent. Contact 5 hours per
week.

**II. Introduction**

In addition to developing a strong base of algebra skills,
this course is intended to help

you learn "how to learn" mathematics. It is intended to help relieve your
anxiety and

build your confidence in your mathematics skills. With the mathematics and study
skills

you will develop in MTH 03, you should be able to move to the next mathematics
course

with a higher expectation of success.

**III. Course Content**

**Chapter 1 Real Numbers
**1.1 The Real Number Line and Absolute Value

1.2 Addition with Integers

1.3 Subtraction with Integers

1.4 Multiplication and Division with Integers

1.5 Exponents, Prime Numbers, and Order of Operations

1.6 Multiplying and Dividing Fractions

1.7 Adding and Subtracting Fractions

1.8 Decimal Numbers and Change in Value

1.9 Properties of Real Numbers

**Chapter 2 Algebraic Expressions, Linear Equations, and
Applications
**2.1 Simplifying and Evaluating Algebraic Expressions

2.2 Translating English Phrases and Algebraic Expressions

2.3 Solving Linear Equations: x + b = c and ax = c

2.4 Solving Linear Equations: ax + b = c

2.5 Applications: Number Problems and Consecutive Integers

2.6 Applications: Percent Problems

**Chapter 3 Formulas, Applications, and Linear
Inequalities
**3.1 Working with Formulas

3.2 Formulas in Geometry

3.3 Applications

3.4 Ratios and Proportions

3.5 Linear Inequalities

**Appendix A.1 Absolute Value Inequalities
Chapter 4 Straight Lines and Functions
**4.1 The Cartesian Coordinate System

4.2 Graphing Linear Equations in Two Variables

4.3 The Slope-Intercept Form: y = mx + b

4.4 The Point-Slope Form: y - y

4.5 Introduction to Functions and Function Notation

4.6 Graphing Linear Inequalities in Two Variables

**Chapter 5 Exponents and Polynomials
**5.1 Exponents

5.2 More on Exponents and Scientific Notation

5.3 Identifying and Evaluating Polynomials

5.4 Adding and Subtracting Polynomials

5.5 Multiplying Polynomials

5.6 Special Products of Polynomials

5.7 Dividing Polynomials

**Appendix A.2 Synthetic Division**

**Chapter 6 Factoring Polynomials and Solving Quadratic
Equations
**6.1 Greatest Common Factor and Factoring by Grouping

6.2 Special Factoring Techniques I

6.3 Special Factoring Techniques II

6.4 Solving Quadratic Equations by Factoring