Dual Credit College Algebra (Math 143)

Course Description

This course includes fundamental concepts of Algebra; equations and inequalities; functions and graphs; polynomial, rational, exponential and logarithmic functions; systems of equations and inequalities; the Binomial Theorem.

Topic 1: Linear Equations and Inequalities

Solving and graphing linear equations and inequalities

Using formulas to solve problems and isolating a specified variable in formulas

Solving and graphing systems of equations and inequalities (including nonlinear).

Solving systems of linear equations in three variables.

Topic 2: RElations and Functions

Domain and range of a function

Function notation

Transformations of graphs

Direct, Inverse, Joint, and Combined Variation

Topic 3: Operations with Polynomials and Functions

Add, subtract, and multiply polynomials

Long division and synthetic division of polynomials

Composition of functions

Topic 4: Factoring Algebraic Expressions

Factor a monomial from a polynomial

Factor quadratics

Factor sum and difference of cubes

Topic 5: Quadratic and Higher-Degree Polynomial Functions

Solve quadratics by factoring, completing the square, and the quadratic formula

Complex numbers

Graphing quadratics (including inequalities)

Finding zeros of polynomial functions

Topic 6: Rational Functions

Simplify rational expressions

Mutliply, divide, add and subtract rational expressions

Solve rational equations

Graph rational functions

Topic 7: Roots and Radical Functions

nth roots, rational exponents, exponent properties

Solving radical equations

Graphing square root and cube root functions

Topic 8: Exponential and Logarithmic Functions

Graphing exponential and logarithmic functions

Properties of logarithms, expanding and simplifying logarithmic expressions

Solving logarithmic and exponential equations

Compound interest

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