"/>
2.1 - Linear Equations and Modeling

# 2.1 - Linear Equations and Modeling -

This preview shows pages 1–2. Sign up to view the full content.

<?xml version="1.0" encoding="utf-8"?> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> <html xmlns="http://www.w3.org/1999/xhtml"> <head> <title>2.1 - Linear Equations and Modeling</title> <link href=". ./m116.css" rel="stylesheet" type="text/css" /> <meta http-equiv="Content-Type" content="text/html; charset=utf-8" /> </head> <body> <h1>2.1 - Linear Equations and Modeling</h1> <h2>Definitions</h2> <dl> <dt>Equation</dt> <dd>A statement that two expressions are equal</dd> <dt>Solutions</dt> <dd>Values which make the equation true</dd> <dt>Identity</dt> <dd>An equation which is true for every real number in the domain</dd> <dt>Contradiction</dt> <dd>An equation which is false for every real number in the domain</dd> <dt>Conditional equation</dt> <dd>An equation which may be true or false depending on the values of the variables.</dd> <dt>Equivalent equations</dt> <dd>Equations having the same solution set.</dd> <dt>Linear equation in one variable</dt> <dd>Equation that can be written as ax+b=0, where a and b are reals and a doesn't equal zero. If a did equal zero, it would be a constant equation and an identity if b=0 or a contradiction if b≠0.</dd> <dt>Extraneous solutions</dt> <dd>Solutions which satisfy an &quot;equivalent&quot; equation, but not the original equation. They can be introduced by multiplying or dividing by an expression containing a variable. They can also be introduced by applying a non-one-to-one function to both sides (like squaring both sides). You should always check your answer when there is a possibility that you have introduced an extraneous solution.</dd>

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 10/18/2011 for the course MAT 1033 taught by Professor Brown during the Spring '10 term at Valencia.

### Page1 / 3

2.1 - Linear Equations and Modeling -

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online