Standard

Posted: 06/21/07


R State Standard         £ Institutionally Developed          College: NA

 

MAT  098 – Elementary Algebra

 

Course Description

This course provides instruction in basic algebra.  Topics include:  introduction to real numbers and algebraic expressions, solving equations and inequalities, graphs of linear equations, polynomial operations, and polynomial factoring.


 

Competency Areas

Hours

Introduction to Real Numbers and Algebraic Equations

Class

5

Solving Linear Equations

D. Lab*

0

Graphs of Linear Equations

P. Lab/O.B.I.*

0

Polynomial Operations

Credit

5 I.C.

Polynomial Factoring

 

 

 

 

 

*D. Lab may be substituted, as needed, for class hours on a 2 to 1 basis and P. Lab on a 3 to 1 basis.

 

Prerequisite:

MAT 097 or entrance arithmetic score in accordance with approved DTAE admission score levels

Corequisite:

None

 

Course Guide

 

Competency

After completing this section, the student will be able to:

Hours

Class

D.Lab

P.Lab/

O.B.I.


 

 

 

 

INTRODUCTION TO REAL NUMBERS AND ALGEBRAIC EXPRESSIONS

10

0

0

 

Add real numbers.

 

 

 

 

Subtract real numbers.

 

 

 

 

Multiply real numbers.

 

 

 

 

Divide of real numbers.

 

 

 

 

Know the properties of real numbers.

 

 

 

 

Simplify algebraic expressions using order of operations.

 

 

 

SOLVING LINEAR EQUATIONS

10

0

0

 

Solve linear equations using the addition principle.

 

 

 

 

Solve linear equations using the multiplication principle.

 

 

 

 

Solve linear equations using the addition and multiplication principles together.

 

 

 

 

Solve formulas for an indicated variable.

 

 

 

 

Solve applications involving percents.

 

 

 

 

Solve applications problems.

 

 

 

GRAPHS OF LINEAR EQUATIONS

10

0

0

 

Graph linear equations.

 

 

 

 

Graph linear equations using intercepts.

 

 

 

 

Find the slope of a line given two points, from an equation, and in an applied problem.

 

 

 

POLYNOMIAL OPERATIONS

10

0

0

 

Use the rules for exponents to simplify expressions.

 

 

 

 

Solve applied problems using scientific notation.

 

 

 

 

Add and subtract polynomials.

 

 

 

 

Multiply and divide polynomials

 

 

 

 

Will recognize polynomials that are special products.

 

 

 

 

Perform operations with polynomials in several variables.

 

 

 

POLYNOMIAL FACTORING

10

0

0

 

Factor monomials, binomials, and trinomials.

 

 

 

 

Factor trinomial squares and differences of squares.

 

 

 

 

Solve quadratic equations by factoring.

 

 

 

 

Solve applications involving quadratic equations.

 

 

 

 

 

Suggested Resources

 

Bittinger, M. and Beecher, J.  (2004).  Developmental Mathematics, 6th Edition.  New York: Addison Wesley Longman

 

Aufmann, R., Barker, V.,Lockwood, J. (2004), Algebra: Introductory and Intermediate, 3rd Edition.  Houghton Mifflin

 

Cleaves, C., Hobbs, M. (2004), College Mathematics for Technology, 6th Edition.  Pearson/Prentice Hall

 

Lial, M., Hornsby, J.,McGinnis, T. (2004), Beginning and Intermediate Algebra, 3rd Edition.  New York: Addison Wesley

 

 

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