20232024 College Catalog [ARCHIVED CATALOG]

MAT 097  Intermediate Algebra 3 Credits, 3 Contact Hours 3 lecture periods 0 lab periods
Definition of function and function notation, compound inequalities in one variable, graphs of linear inequalities in two variables, and absolute value equations and inequalities. Also includes rational and radical functions and equations, quadratic functions and their graphs, exponential functions and their graphs, and logarithms.
Prerequisite(s): Within the last three years: MAT 092 with a grade of C or better, or completion of module 25 in MAT 089A or MAT 089B , or satisfactory score on the Mathematics assessment test. Information: The online sections for the course require students to have the ability to share (electronically) handwritten work within the course.
Course Learning Outcomes
 Solve absolute value inequalities involving linear equations.
 Solve rational equations with at least one factorable seconddegree polynomial in the denominator.
 Solve radical equations that result in a quadratic equation solvable by factoring.
 Use the quadratic formula to solve quadratic equations that comes from an application problem.
Performance Objectives:
 Define and identify a function, and use function notation.
 Solve compound inequalities in one variable and graph linear inequalities in two variables.
 Solve absolute value equations and inequalities.
 Simplify and perform operations on rational expressions, and solve rational equations.
 Simplify radical expressions, convert between radical notation and rational exponents, and solve radical equations.
 Solve quadratic equations by factoring, completing the square, and using the quadratic formula.
 Graph quadratic functions.
 Solve applications including literal equations.
 Convert between exponential and logarithmic equations, and evaluate exponential and logarithmic expressions.
 Graph elementary exponential functions.
Optional Objectives
11. Factor polynomials using a variety of techniques.
12. Solve equations and applications involving variation. Outline:
 Functions
 Definition
 Identification
 Notation
 Inequalities
 Interval notation
 Compound
 Linear with two variables
 Applications
 Absolute Value
 Equations
 Inequalities
 Rational Expressions and Equations
 Domain of rational functions
 Addition, subtraction, multiplication, and division of rational expressions
 Complex rational expressions
 Rational equations including those that result in quadratic equations
 Applications including literal equations
 Radical Expressions and Equations
 Domain of radical functions
 Addition, subtraction, multiplication, and division of radical expressions
 Rationalization of denominators or numerators
 Conversion between radical notation and rational exponents
 Radical equations
 Distance formula
 Applications including literal equations
 Quadratic Equations and Functions
 Solve equations by factoring
 Complete the square
 Quadratic formula and interpretation of the discriminant
 Graph quadratic functions
 Applications including literal equations
 Exponential Functions and Logarithms
 Convert between exponential and logarithmic equations
 Evaluate exponential and logarithmic expressions
 Graph elementary exponential functions
 Optional Topics
 Factoring polynomials
 Greatest common factor
 Factor by grouping
 Trinomials
 Difference of squares
 Difference/sum of cubes
 Variation
 Direct
 Inverse
 Joint
Effective Term: Spring 2020
