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To multiply two rational expressions such as multiply the numerators and the denominators. A. 4. ... Answers (Anticipation Guide and Lesson 11-1) ...



Multiplying and Dividing Rational Expressions

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Homework Practice Workbook Answers For Workbooks The answers for Chapter 11 of these workbooks can be ... Multiplying and Dividing Rational Expressions.



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Chapter 11 Skills Practice. 11. LESSON 11.1 Skills Practice page 4. 9. y 5 x2 1 3 Answers will vary but should be of the form f(x) 5 ?.

There Must Be a Rational Explanation

© Carnegie Learning

Chapter 10 Skills Practice 613

10

Lesson 10.1 Skills Practice

Name Date

There Must Be a Rational Explanation

Adding and Subtracting Rational Expressions

Problem Set

Calculate the least common denominator (LCD) for each sum and difference. Describe any restriction(s)

for the value of x. 1. x __ 3 1 x 1 1 _____ 15

The LCD is 3(5), or 15.

No restrictions for x

x __ 3 1 x 1 1 ______ 3(5) 2. 7x ___ 12 1 x 2 2 _____ 6 2 x 2 __ 3

The LCD is 3(2

2 ), or 12.

No restrictions for x

7x _____ 3(2 2 1 x 2 2 _____ 2(3) 2 x 2 __ 3 3. x 1 1 _____ x 2 x 2 1 ______ x 2 1 x

The LCD is x(x 1 1), or x

2

1 x, and x 21, 0.

x 1 1 ______ x 2 x 2 1 ________ x(x 1 1) 4. 3 ___ 2x 1 x 2 1 1 _______ 4x 2 1 8

The LCD is (2

2 )(x)(x 2

1 2), or 4x

3

1 8x, and x 0.

3 ___ 2x 1 x 2 1 1 __________ (2 2 )(x 2 1 2) 5.

3x 1 4

_______ x 2 5 ___ 6x 1 9 ___ 2x

The LCD is 2(3)(x), or 6x, and x 0.

3x 1 4

_______ x 2 5 _____ 2(3)x 1 9 ___ 2x 6. x ______ x 2 2 1 2 x 2 3 _____ x 2 1

The LCD is (x 2 1)(x 1 1), or x

2

2 1, and x 61.

x _____________ (x 2 1)(x 1 1) 2 x 2 3 ______ x 2 1 7. 3x _____ x 2 2 1 x _______

2x 1 4

1 5 __ x

The LCD is 2x(x 2 2)(x 1 2), or 2x

3 2 8x, and x 22, 0, 2. 3x ______ x 2 2 1 x ________

2(x 1 2)

1 5 __ x 8. x 2 3 ____________ 2x 2

1 7x 1 6

2 x _______

2x 1 3

The LCD is (x 1 2)(2x 1 3), or 2x

2

1 7x 1 6,

and x 22, 2 3 __ 2 x 2 3 ______________ (x 1 2)(2x 1 3) 2 x _______

2x 1 3

451453_IM3_Skills_CH10_613-658.indd 61303/12/13 3:04 PM

© Carnegie Learning

614 Chapter 10 Skills Practice

10

Lesson 10.1 Skills Practice page 2

Calculate each sum and difference. Simplify the answer when possible. 9. x __ 2 1 7x ___ 6 x __ 2 1 7x ___ 6quotesdbs_dbs31.pdfusesText_37
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