Math 0950

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Math 0950

• McKeague PreAlg 4th Ed
• Chapter 4.4
• Linear Equations in One Variable

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Introduction

• The Rhind Papyrus is an ancient Egyptian document
  from 1650 BC that has mathematical riddles. One
  problem on the Papyrus asked the reader to find a
  quantity such that when it is added to one-fourth
  of itself the sum is 15. How would we solve this?

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Steps to Solve a Linear equation in One Variable

• Simplify each side of the equation as much as
  possible. This step is done using the
  commutative, associative, and distributive
  properties
• Use the addition property of equality to get all
  variable terms on one side of the equation and
  all constant terms on the other, then combine
  like terms. A variable term is any term that
  contains the variable. A constant term is any
  term that contains only a number
• Use the multiplication property of equality to
  get the variable by itself on one side of the
  equation
• Check your solution in the original equation if
  you think it is necessary.

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Examples

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Examples

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Equations Involving Fractions

• When dealing with equations involving fractions,
  its easier to convert them to numbers involving
  integers by multiplying the equation by the LCD
  for ALL fractions in the equation

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Examples

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Examples

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Practice

• 21, 27

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Practice

• 5, 11

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Practice

• 33, 39

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Practice

• 47

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Assignment

• Problem Set 4.4
• 2 56 evens