# Course Syllabus for Elementary Algebra I

**COURSE DESCRIPTION:
**

This course is the first half of a standard one year course in elementary algebra. Topics

to be covered include the concept of a variable ; signed numbers ; evaluation of (algebraic)

expressions; solution of equations and inequalities (in one variable); graphing; and systems

of (linear) equations and inequalities.

Prerequisites: “C” or better in Math 22 or placement in Math 24X

**COURSE OBJECTIVES:**

To become familiar with various Real number sets , including the Integers

and Rational numbers.

To acquire skill in solving first degree equations (and inequalities) in one

variable.

To acquire a basic understanding of linear equations (and inequalities) in

two variables , including their graphs.

To solve a system of linear equations by various methods .

To develop a basic ability to solve applications using the algebraic techniques

covered throughout the course.

**In addition, as in most mathematical courses, students will be presented**

with the challenge of utilizing critical thinking along with development of

communicating analyses in an ordered and neat fashion.

with the challenge of utilizing critical thinking along with development of

communicating analyses in an ordered and neat fashion.

**INSTRUCTIONAL MATERIALS:**

Textbook: **Beginning Algebra - Ten ^{th} Ed. th by Lial,
Hornsby & McGinnis
**

Calculators:

A basic (inexpensive) calculator, although a scientific

calculator will be noticeably more advantageous.

Recommended:

Student Solutions Manual

Graph paper or engineering pad;

A loose-leaf notebook for storing HomeWork, exams,

and notes.

**MATHEMATICS 24X / ELEMENTARY ALGEBRA I
Course Outline**

**Unit I. The Real Number System**

Fractions; Exponents, Order of Operations & Inequality; Variables,

Expressions & Equations; Real Numbers and the Number Line; Adding

& Subtracting Real Numbers; Multiplying & Dividing Real Numbers;

Properties of Real Numbers; Simplifying Expressions .

**Unit II. Linear Equations & Inequalities in One Variable**

Addition Property of Equality; Multiplication Property of Equality; More

on Solving Linear Equations; Intro to Applications of Linear Equations;

Formulas & Applications from Geometry; Ratios & Proportions; Further

Applications of Linear Equations; Solving Linear Inequalities.

**Unit III. Linear Equations & Inequalities in Two Variables; Functions**

Reading Graphs; Linear Equations in Two Variables; Graphing Linear

Equations in Two Variables; The Slope of a Line ; Equations of a Line;

Graphing Linear Inequalities in Two Variables; Intro to Functions.

**UNIT IV. Systems of Linear Equations & Inequalities**

Solving Systems of Linear Equations by Graphing; Solving Systems of

Linear Equations by Substitution; Solving Systems of Linear Equations

by Elimination ; Applications of Linear Systems; Solving Systems of

Linear Inequalities.

**UNIT V. Exponents, Roots & Radicals**

Product Rule & Power Rule for Exponents; Integer Exponents and the

Quotient Rule; Evaluating Roots; Simplifying Radicals.

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