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RESEARCH GUIDES

Business Calculus MATH 1425: Algebra Review

Free resources for background material and support for Business Calculus MATH 1425

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Order of Operations

Videos:	Written materials:
Intro to order of operations	How to do order of operations

Difference Quotient

Videos:	Written materials:
Difference quotient	Basic review Difference quotient

Factoring

Videos:	Written materials:
Removing common factors Difference of Two Squares Factoring x2 + bx + c (trinomial with leading coefficient one) Factoring by grouping Factoring ax2 + bx + c (ac method) Sum of two cubes (a³ + b³) Difference of two cubes (a³ – b³)	Review of all factoring Common factors Factoring trinomials (ax²+ bx = c) Difference of Two Squares Slightly more complex factoring

Solving Equations

Videos:	Written materials:
Solving linear equations Solving quadratic equation by factoring Solving quadratic equation by using quadratic formula Solving rational equations 1 Solving rational equations 2 Solving radical equations	Solving quadratic equations - text 1

Algebra Review - Content

This content is covered in boxes below:

Order of Operations
Functions Used in Business Calculus I
Difference Quotient
Factoring
Solving Equations
Solving Inequalities – Sign Charts

Functions Used in Business Calculus I

A one page handout that reviews the basic information about all the classes of functions that we study in Business Calculus.

SCAN and put link

Overview:

Video: Linear, quadratic, and exponential functions

Written materials: Graphs to know & Basic functions

Function:	Videos:	Written materials:
Linear Functions	Linear function Slope-intercept from y=mx+b Example of linear function Determining if relationship is linear	Finding slopes of lines Finding equations of lines Equations of Lines
Quadratic Functions	Identifying quadratic functions Example 1 of quadratic functions Example 2 of quadratic functions Business application of quadratic function	Quadratic Equation
Polynomials		Basic Review
Rational Functions	Asymptotes of rational functions Example 1 of graphing rational functions Example 1 of graphing rational functions	Introductory Intercepts Vertical Asymptotes Horizontal Asymptotes Graph of rational functions Overall
Radical functions	Graphs of square root function	Rational exponents
Exponential and Logarithmic Functions	Exponential growth function (y = a^x , with a >1) Exponential decay function (y = a^x , with 0 < a <1) General exponential function Basic information on logarithms Rules of logarithms part 1 Rules of logarithms part 2	Exponentials and Logarithms Basic information on logarithms Exponential and Logarithmic functions
Piecewise Functions		Basic review

Solving Inequalities

Videos:

Written materials:

Solving quadratic inequalities using graphs (Idea behind Sign Charts)

Sign charts for rational functions

Last Updated: Aug 31, 2023 2:32 PM
URL: https://researchguides.austincc.edu/businesscalculus
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Subjects: Business Studies, Science, Engineering, and Math

Tags: math, mathematics

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