**What are you going to learn?**

**Content**

Algebra I introduces students to variables, algebraic expressions, equations, inequalities, functions, and all their multiple representations. In this class, students will develop the ability to explore and solve real-world application problems, demonstrate the appropriate use of graphing calculators, and communicate mathematical ideas clearly. This course lays the foundation for mathematical literacy that will help students be successful in every subsequent course in mathematics.

##### Chapter 1. An Introduction to Algebra

Whole and Integer Numbers. Operations

Fractions and Operations. Least CommonMultiple (LCM)

Prime Numbers and the Greatest Common Factor (GCF)

The Real Numbers, Operations and its Properties

Exponents and Order of Operations

Translating and Evaluating Algebraic Expressions

Introduction to Polynomials

Combining Like Terms

Addition and Subtraction of Polynomials

Exponent Rules. Multiplying Polynomials

Factoring Polynomials

Applications

##### Chapter 2. Expressions and Polynomials

##### Chapter 3. Identities, Equations, and Inequalities

Introduction

Linear Equations with one Variable and Their Solutions

The Addition Principle of Equalities

The Multiplication Principle of Equalities

Translating Word Problems Into Equations

Linear Inequalities and their Solutions

Applications

##### Chapter 4. Rational Expressions

Addition and Subtraction of Rational Expression. LCM

Multiplication and Division of Rational Expressions

Simplifying Complex Rational Expressions

Order of Operations

Solving Equations with Rational Expressions

Applications

##### Chapter 5. Exponential and Logarithmic Functions

Composite Functions and Inverse Functions

Exponential Functions

Logarithmic Functions

Common Logarithms and Natural Logarithms

Exponential and Logarithmic Equations

Applications

##### Chapter 6. Conic Sections and More Graphing

Conic Sections: Parabola, Circles, and Ellipses

Conic Sections: Hyperbolas

The focus, Directrix properties of Conics

The Conics in Polar Coordinates

Rotation of Axis

##### Chapter 7. Systems of Equations and Inequalities with Three Variables

Data Collection

Probability Distributions

Statistical Decision Making

Variables Relationships

Statistical Process Control (SPC)

Process and Performance Capability

Design and Analysis of Experiments

##### Chapter 8. Sequences and Series.The Binomial Theorem

Sequences and Series

Arithmetic Sequences and Series

Geometric Sequences and Series

The Binomial Theorem

### Bibliography

Tussy, A., and R. David Gustafson(2009).

. 4th Ed. Engage Learning. Belmont, USA.*Elementary & Intermediate Algebra*Lial, M. et al (2012).

*Beginning Algebra**.*9th Ed. Pearson Education, Inc. Boston, USA.Lial, Hornsby, Schneider, Daniels.

.1st ed.; Pearson*Beginning and Intermediate Algebra and College Algebra: a Corequisite Solution*

### Webgraphy

https://openstax.org/subjects/math College Algebra (2nd edition) by Jay Abramson (OpenStax.org).