Standard

Posted: 06/21/07

R State Standard         £ Institutionally Developed          College: NA

 

MAT  099 – Intermediate Algebra

 

Course Description

This course provides instruction in intermediate algebra.  Topics include:  factoring, inequalities, rational expressions and equations, linear graphs, slope, and applications, systems of equations, radical expressions and equations, and quadratic equations.

 

Competency Areas

Hours

Factoring

Class

5

Inequalities

D. Lab*

0

Rational Expressions and Equations

P. Lab/O.B.I.*

0

Linear Graphs, Slope, and Applications

Credit

5 I.C.

Systems of Equations

 

 

Radical Expressions and Equations

 

 

Quadratic Equations

 

 

 

 

 

*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 098 or 103 (grade of C or better in 103) or entrance 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.

 

 

 

 

FACTORING

7

0

0

 

Factor algebraic expressions completely.

 

 

 

INEQUALITIES

7

0

0

 

Solve linear inequalities.

 

 

 

 

Solve application problems with linear inequalities.

 

 

 

RATIONAL EXPRESSIONS AND EQUATIONS

8

0

0

 

Multiply and simplify rational expressions.

 

 

 

 

Divide rational expressions.

 

 

 

 

Find least common multiples and denominators.

 

 

 

 

Add rational expressions

.

 

 

 

Subtract rational expressions.

 

 

 

 

Solve rational equations.

 

 

 

 

Solve application problems using rational equations and proportions.

 

 

 

 

Simplify complex rational expressions.

 

 

 

LINEAR GRAPHS, SLOPE, AND APPLICATIONS

7

0

0

 

Find the slope-intercept equation.

 

 

 

 

Graph using the slope and the

y-intercept

 

 

 

 

Recognize parallel and perpendicular lines.

 

 

 

 

Graph inequalities in two variables.

 

 

 

 

Solve application problems involving direct and inverse variation.

 

 

 

SYSTEMS OF EQUATIONS

7

0

0

 

Solve systems of equations in two variables using the graphing, substitution, and elimination methods.

 

 

 

 

Solve applications problems using systems of equations.

 

 

 

 

Solve applications problem involving motion using systems of equations.

 

 

 

RADICAL EXPRESSIONS AND EQUATIONS

7

0

0

 

Multiply and simplify radical expressions.

 

 

 

 

Simplify quotients involving radical expressions.

 

 

 

 

Add and Subtract radical expressions.

 

 

 

 

Solve radical equations.

 

 

 

 

Solve applications with right triangles.

 

 

 

 

Simplify expressions involving higher roots, and rational numbers as exponents.

 

 

 

QUADRATIC EQUATIONS

7

0

0

 

Solve quadratic equations using the principle of zero products.

 

 

 

 

Solve quadratic equations using the principle of square roots.

 

 

 

 

Solve quadratic equations by completing the square.

 

 

 

 

Solve quadratic equations using the quadratic formula.

 

 

 

 

Solve application problems using quadratic equations.

 

 

 

 

Graph quadratic equations.

 

 

 

 

Evaluate and graph functions.

 

 

 

 

Determine whether a graph is that of a function.

 

 

 

 

Solve applied problems involving functions and their graphs.

 

 

 

 

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

 

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

 

 

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