Chapter 6.pdf - CHAPTER 6 Rational Expressions Source Elementary Intermediate Algebra Fourth Edition Prepared and Edited by Dr Mohamad Hammoudi Topics

Chapter 6.pdf - CHAPTER 6 Rational Expressions Source...

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CHAPTER 6 Rational Expressions Source: Elementary & Intermediate Algebra, Fourth Edition Prepared and Edited by: Dr. Mohamad Hammoudi
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Topics of Chapter 6 6.1: Simplifying Rational Expressions. 6.2: Multiplication and Division of Rational Expressions. 6.3: Addition and Subtraction of Rational Expressions. 6.4: Complex Fractions. 6.5: Solving Rational Equations. 2
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6.1: Simplifying Rational Expressions. Objectives: 6.1.1: Evaluate rational expressions 6.1.2: Simplify rational expressions 3
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6.1.1: Evaluate Rational Expressions A rational number is the ratio of two integers. Similarly, a rational expression can be written as the ratio of two polynomials, in which the denominator cannot have the value 0. 4
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6.1.1: Evaluate Rational Expressions Examples: For what values of x is the following expression undefined? 1. 2. 5
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6.1.1: Evaluate Rational Expressions Examples: Using a calculator, evaluate the following expressions for the given value of the variable. 1. 2. 6
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6.1.2: Simplify Rational Expressions We can always multiply or divide the numerator and denominator of a fraction by the same nonzero number. The same pattern is true in algebra. The above two example are on equivalent fractions 7
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6.1.2: Simplify Rational Expressions Examples: Simplify each rational expression. Assume the denominators are not 0. 1. 2. 8
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6.1.2: Simplify Rational Expressions Examples: Simplify each rational expression. 1. 2. 3. 9
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6.1.2: Simplify Rational Expressions Simplifying certain algebraic expressions involves recognizing a particular pattern. Verify for yourself that 3 9 = (9 3) In general, it is true that a b= ( a + b)= (b a)= 1(b a) or, by dividing both sides of the equation by b a , 10
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6.1.2: Simplify Rational Expressions Examples: Simplify each rational expression.
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