MATH 99: Intermediate Algebra

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Class Program

Mathematics

Credits

Clinical Hours None

Weekly Contact Hours

Course ID

091731

Meets Degree Requirements For

Not Intended for Transfer, Typically Numbered Below 100.

Description

Topics include: Solving quadratic, rational, radical, exponential and logarithmic equations including applications; Evaluating and graphing common functions with and without shifts and reflections; Determining vertex of quadratic functions; Manipulating expressions using exponent and logarithmic properties. Successful completion of this course will prepare a student for a non-STEM college-level math course. (Math&107, Math& 146, Math& 200, Math& 171).

Grading Basis

Graded

Prerequisites

MATH 93 or higher with a "C" (2.0) or better, ABE 42 with a "B-" (2.7) or better, or appropriate placement recommendation.

Course Learning Outcomes

Solve equations of the following types: linear, quadratic, radical, rational, exponential and logarithmic.

Set up and solve word problems using the above equation types.

Graph basic functions of the following types: linear, quadratic, absolute value, exponential and logarithmic.

Graph shifted and/or reflected quadratic, absolute value, exponential and logarithmic functions.

Evaluate functions represented as equations, graphs and tables.

Use appropriate function vocabulary.

Identify the domain and range of a function given as an equation, graph, and table.

Add, subtract, multiply and divide functions.

Set up and solve word problems containing direct, indirect and joint variation.

Manipulate expressions containing radicals.

Find the vertex of a quadratic function.

Use exponent properties through radical exponents to simplify expressions.

Optional: Composite Functions

Optional: Modeling with: linear, quadratic, exponential and logarithmic functions.

Factor polynomials: GCF, factor by grouping, trinomials, difference of squares.

Program Learning Outcomes

Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.

Core Topics

Exponent properties through rational exponents.
Functions: Evaluate and identify domain and range for functions given as equations, graphs, and tables.
Set up and solve variation word problems including direct, indirect, and joint variation..
Solve quadratic equations by factoring, quadratic formula, and square root property.
Multiply, divide, and simplify radical expressions.
Solve radical equations.
Determine vertex of quadratic functions using vertex formula and graph shifted quadratic functions.
Solve exponential and logarithmic equations.
Graph quadratic, absolute value, exponential and logarithmic functions with and without shifts and reflections.
Solve exponential and logarithmic applications.
Use logarithm properties to manipulate expressions.
Solve application problems involving the following equation types:quadratic, radical, rational, exponential and logarithmic.
Factor polynomials: GCF, factor by grouping, trinomials, difference of squares.
Optional: Modeling with linear, quadratic, exponential and logarithmic functions.
Optional: Composite functions