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Linear and Rational Equations

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... combine like terms, or simplify fractions on one or both ... An equation that contains rational expressions (x is in the denominator). Extra Examples ... – PowerPoint PPT presentation

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Title: Linear and Rational Equations


1
Linear and Rational Equations
  • Pg 2-14 in Prerequisite Chapter 1

2
Linear Equations
  • What is a linear equation?
  • A linear equation in one variable x is an
    equation that can be written in the standard
    form axb0, where a and b are real numbers with
    a not equal to zero.

3
Steps For Solving Linear Equations
  • Given Equation
  • Remove symbols of grouping, combine like terms,
    or simplify fractions on one or both sides of the
    equation.
  • Add/Subtract the same quantity to/from each side
    of the equation.
  • Multiply/Divide each side of the equation.

4
Linear Equations With Fractional Expressions
5
Extra Examples
6
Rational Equations
  • What is a rational equation?
  • An equation that contains rational expressions (x
    is in the denominator).

7
Extra Examples
8
Solving Rational Equations Using Cross
Multiplication
9
Solving Rational Equations Using A LCM
10
Rational Equations With Extraneous Solutions
11
Homework!!!
  • Pg. 11 1-25 every other odd, 27-47 odd

12
Rational Equations are F-U-N FUN!!
  • http//www.algebasics.com/index.html
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