2.5: Rational Expressions and Equations College Algebra Week 2 - - PowerPoint PPT Presentation

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2 5 rational expressions and equations
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2.5: Rational Expressions and Equations College Algebra Week 2 - - PowerPoint PPT Presentation

Mar 15, 2024 166 likes •303 views

2.5: Rational Expressions and Equations College Algebra Week 2 Rational Expression Ratio of two expressions (polynomials) ; 0 Complex Rational Expression A fraction within a fraction Rational

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SLIDE 1

2.5: Rational Expressions and Equations

College Algebra – Week 2

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SLIDE 2

∗ Rational Expression –

∗ Ratio of two expressions (polynomials) →

  • ; ≠ 0

∗ Complex Rational Expression –

∗ A fraction within a fraction

∗ Rational Equation –

∗ An equation that contains at least one rational expression.

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SLIDE 3

a)

  • Ex. 1: Simplify and indicate the values

that must be excluded.

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SLIDE 4

b)

  • Ex. 1: Simplify and indicate the values

that must be excluded.

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SLIDE 5

a)

−

  • Ex. 2: Add or subtract the rational

expression as indicated.

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SLIDE 6

b)

  • +

−

  • Ex. 2: Add or subtract the rational

expressions as indicated.

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SLIDE 7

a)

  • ∙
  • Ex. 3: Multiply or divide the rational

expressions as indicated.

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SLIDE 8

b)

  • ÷
  • Ex. 3: Multiply or divide the rational

expressions as indicated.

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SLIDE 9

a)

  • Ex. 4: Simplify the complex rational

expressions.

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SLIDE 10

b)

  • Ex. 4: Simplify the complex rational

expressions.

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SLIDE 11

a)

=

  • Ex. 5: Solve the following rational

equations.

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SLIDE 12

b)

− =

  • Ex. 5: Solve the following rational

equations.