Montgomery College 2017-2018 Catalog
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Sep 29, 2020
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MATH 096 - Intermediate Algebra

An examination of algebraic skills and concepts intended to prepare students for MATH 130 , MATH 150 , and MATH 165 . Algebraic, graphical, numerical, and verbal approaches are used in working with a variety of functions and their applications, including linear, polynomial, exponential, logarithmic, rational, and radical functions. Solve systems of equations. PREREQUISITE(S): A grade of C or better in MATH 080 , appropriate score on the mathematics assessment test; or consent of department. Assessment Level(s): AELW 940 / ELAI 990  , READ 120  , or AELR 930 / ELAR 980   . Four hours each week. Formerly MA 099.

4 semester hours

FOUR EQUIVALENT CREDIT HOURS. NOT APPLICABLE TO A DEGREE OR CERTIFICATE. MAY NOT BE USED TO SATISFY DEGREE REQUIREMENTS. NOT INCLUDED IN GPA CALCULATION.

Course Outcomes:
Upon course completion, a student will be able to:

• Use the numerical or graphical representation of a relation to determine whether the relation is a function.
• Identify and state the domain and range of a given function in both interval notation and set-builder notation.
• Apply knowledge of one-to-one functions to find inverse of a function and recognize the relationship between a function and its inverse in terms of domains, ranges, and graphs.
• Find an inverse of linear, exponential, and logarithmic functions.
• Identify linear, quadratic, exponential, and logarithmic functions, and systems of equations from their graphs.
• Solve linear, quadratic, rational, exponential, and simple radical equations, as well as systems of equations using appropriate algebraic techniques.
• Simplify rational, radical, exponential, and simple logarithmic expressions using appropriate properties.
• Graph linear, quadratic, exponential, and logarithmic functions, and systems of equations.
• Find and identify the vertex, axis of symmetry, minimum or maximum, x-intercepts, and y-intercept of a quadratic function from its symbolic representation or its graph.
• Construct solutions for real world applications using linear, quadratic, rational, logarithmic, exponential functions, and systems of linear equations.
• Use a graphing calculator to enter and graph linear, quadratic, radical, exponential, and logarithmic functions, and systems of equations and interpret and analyze the graph.