**Prerequisites**

MAT 055 with a grade of "C" or higher or placement test score as established by
District policy

Educational Value

This course is designed for first time algebra students , or anyone who needs a
refresher algebra course

in preparation for Intermediate Algebra.

**Description**

An introduction to Algebra via linear expressions , equations and inequalities.
Topics covered include real

numbers, expressions, equations and inequalities with one and two variables,
exponents, and

polynomials.

**Textbooks**

Elementary and Intermediate Algebra, Concepts and Applications, A Combined
Approach . Bittinger,

Ellenbogen, Johnson. Edition: 5^{th}. ISBN-13: 9780321559449. Publisher: Addison
Wesley. Required

**Supplies**

Scientific calculator; TI-83 or TI-84 recommended.

**Competencies and Performance Standards**

1. Perform basic operations with real numbers

Learning objectives

What you will learn as you master the competency:

a. Apply the order of operations

b. Add integers, rational numbers, and decimals

c. Subtract integers , rational numbers, and decimals

d. Multiply integers , rational numbers, and decimals

e. Divide integers, rational numbers, and decimals

f. Evaluate algebraic expressions

**Performance Standards**

You will demonstrate your competence:

o On assigned activities

o On written exams

o On a two hour cumulative final exam

Your performance will be successful when:

o You can demonstrate the ability to use the order of operations

o You can demonstrate the ability to use the basic operations with integers,
rational

numbers, and decimal numbers

o You can demonstrate the ability to evaluate an algebraic expression

2. Solve linear equations and inequalities

Learning objectives

What you will learn as you master the competency:

a. Use the addition property to solve equations.

b. Use the multiplication property to solve equations.

c. Solve equations that require two or more steps.

d. Solve problems using formulas .

e. Solve linear inequalities

**Performance Standards**

You will demonstrate your competence:

o On assigned activities

o On written exams

o On a two hour cumulative final exam

Your performance will be successful when:

o You can demonstrate the ability to solve equations and inequalities in one
variable

**3. Use a rectangular coordinate system to graph points, lines, and inequalities**

Learning objectives

What you will learn as you master the competency:

a. Identify the parts of a rectangular coordinate system.

b. Sketch the graph of a relation from a table of ordered pairs.

c. Solve for x and y-intercepts given a linear equation in
two variables.

d. Sketch the graph of a linear equation using the intercepts.

e. Calculate slope given two points, a graph, or an equation.

f. Use the slope-intercept form of a line.

g. Use the point-slope form of a line.

**Performance Standards**

You will demonstrate your competence:

o On assigned activities

o On written exams

o On a two hour cumulative final exam

Your performance will be successful when:

o You can find and plot points on a rectangular system

o You can graph linear equations by plotting points, intercepts, or
slope-intercept.

o You can find and intercept slopes

**4. Simplify polynomial expressions **

Learning objectives

What you will learn as you master the competency:

a. Identify expressions that are polynomials

b. Add polynomials.

c. Subtract polynomials.

d. Multiply polynomials.

e. Divide polynomials by monomial or binomial .

**Performance Standards**

You will demonstrate your competence:

o On assigned activities

o On written exams

o On a two hour cumulative final exam.

Your performance will be successful when:

o You can demonstrate the ability to add, subtract, multiply and divide
polynomials

**5. Factor polynomial expressions**

Learning objectives

What you will learn as you master the competency:

a. Factor out the Greatest Common Factor (GCF)

b. Factor by grouping .

c. Factor the difference of two squares.

d. Factor trinomials.

e. Use a general strategy for factoring polynomials.

f. Use factoring to solve equations.

**Performance Standards**

You will demonstrate your competence:

o On assigned activities

o On written exams

o On a two hour cumulative final exam

Your performance will be successful when:

o You can demonstrate the ability to factor the GCF

o You can demonstrate the ability to factor by grouping

o You can demonstrate the ability to factor trinomials with a lead coefficient
of 1

o You can demonstrate the ability to factor trinomials with a lead coefficient
other than 1

o You can demonstrate the ability to solve equations by factoring

**Types of Instruction**

Classroom Presentation

**Grading Information**

Grading Rationale

Each instructor has the flexibility to develop evaluative procedures within the
following parameters.

1. Written exams must represent at least 60% of the final course grade

2. Final exam must represent at least 20 % of the final course grade.

3. The Post Test is to be embedded in the final exam and must represent at least
10% of the final course

grade.

4. Other activities may represent at most 10 % of the final course grade.

**Grading Scale**

A 90%-100%

B 80%-89%

C 70%-79%

D 60%-69%

F Below 60%