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, absolute value, rational, radical, exponential and logarithmic equations; graphing shifted quadratic functions; simplifying radical expressions, solving systems of linear inequalities; evaluating logarithms; finding the vertex of a quadratic function.

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, absolute value, radical, rational, exponential and logarithmic, and systems of 2 linear equations.

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 stretched/ compressed, and/or reflected quadratic functions.

Solve linear and absolute value inequalities.

Correctly use interval notation for describing sets of real numbers.

Evaluate functions represented as equations and as graphs.

Use appropriate function vocabulary.

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

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 simplify expressions.

Add, subtract, multiply and divide complex numbers.

Identify the Union and Intersection of two sets.

Optional: Graph shifted and/or reflected absolute value functions.

Core Topics

Review: Exponent properties through negative exponents
Review solving equations: linear, quadratic by factoring, systems of linear equations.
Functions: Evaluate, identify domain and range for functions given as equations and graphs.
Perform arithmetic operations on functions.
Graph systems of linear inequalities
Set up and Solve variation word problems including direct, indirect, and joint variation.
Intersection, Unions and compound inequalities.
Absolute value equations and inequalities.
Solve quadratic equations by factoring, quadratic formula, and square root property.
Multiply and divide radical expressions.
Solve radical equations.
Use complex numbers in arithmetic combinations and as solutions to quadratic equations.
Complete the square to write quadratic function in vertex form.
Graph shifted quadratic functions.
Find inverse functions.
Composite functions.
Solve exponential and logarithmic equations.
Graph exponential and logarithmic functions.
Solving exponential and logarithmic applications.
Optional: Use logarithm properties to manipulate expressions.
Optional: Solve quadratic-like equations using substitution.
Optional: Solve linear programming applications.
Optional: Graphing shifted absolute value functions.
Optional: Modeling with linear, quadratic, exponential and logarithmic functions.
Optional: rational exponents