1 The Set Of Real Numbers 2 Linear Equations And Inequalities 3 Graphing Linear Equations In Two Variables 4 Systems Of Linear Equations In Two Variables 5 Polynomials And Properties Of Exponents 6 Factoring Polynomials 7 Rational Expressions And Equations 8 Relations And Functions 9 More Equations And Inequalities 10 Radicals And Complex Numbers 11 Quadratic Equations And Functions 12 Exponential And Logarithmic Functions And Applications 13 Conic Sections 14 Binomial Expansions, Sequences, And Series A Additional Topics Appendix expand_more
7.1 Introduction To Rational Expressions 7.2 Multiplication And Division Of Rational Expressions 7.3 Least Common Denominator 7.4 Addition And Subtraction Of Rational Expressions 7.5 Complex Fractions 7.6 Rational Equations 7.7 Applications Of Rational Equations And Proportions Chapter Questions expand_more
Problem 1SP: Simplify the expression. 6 x y 9 2 y Problem 2SP: Simplify the expression. 3 4 − 1 6 + 2 1 3 + 1 2 Problem 3SP: Simplify the expression. 1 − 1 p p w + w p Problem 4SP: Simplify the expression. 1 − 3 5 1 4 − 7 10 + 1 Problem 5SP: Simplify the expression. z 3 − 3 z 1 + 3 z Problem 6SP: Simplify the expression. 4 p − 3 + 1 1 + 2 p − 3 Problem 1PE: 1. A _____________ fraction is an expression containing one or more fractions in the numerator,... Problem 2PE: For Exercises 2–3, simplify the expression.
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Problem 3PE: For Exercises 2–3, simplify the expression. a + 5 2 a 2 + 7 a − 15 Problem 4PE: For Exercises 4–6, perform the indicated operations. 2 w − 2 + 3 w Problem 5PE: For Exercises 4–6, perform the indicated operations.
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Problem 6PE: For Exercises 4–6, perform the indicated operations. x 2 − 2 x y + y 2 x 4 − y 4 ÷ 3 x 2 y − 3 x y 2... Problem 7PE: For Exercises 7–34, simplify the complex fractions using either method. (See Examples 1–6.)
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Problem 8PE: For Exercises 7–34, simplify the complex fractions using either method. (See Examples 1–6.) a 2 2 a... Problem 9PE: For Exercises 7–34, simplify the complex fractions using either method. (See Examples 1–6.)
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Problem 10PE: For Exercises 7–34, simplify the complex fractions using either method. (See Examples 1–6.)
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Problem 11PE: For Exercises 7–34, simplify the complex fractions using either method. (See Examples 1–6.) 8 a 4 b... Problem 12PE: For Exercises 7–34, simplify the complex fractions using either method. (See Examples 1–6.) 12 x 2 5... Problem 13PE: For Exercises 7–34, simplify the complex fractions using either method. (See Examples 1–6.) 4 r 3 s... Problem 14PE: For Exercises 7–34, simplify the complex fractions using either method. (See Examples 1–6.)
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Problem 15PE: For Exercises 7–34, simplify the complex fractions using either method. (See Examples 1–6.) 1 8 + 4... Problem 16PE: For Exercises 7–34, simplify the complex fractions using either method. (See Examples 1–6.) 8 9 − 1... Problem 17PE: For Exercises 7–34, simplify the complex fractions using either method. (See Examples 1–6.)
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Problem 18PE: For Exercises 7–34, simplify the complex fractions using either method. (See Examples 1–6.) 1 b + 1... Problem 19PE: For Exercises 7–34, simplify the complex fractions using either method. (See Examples 1–6.) n + 1 n... Problem 20PE: For Exercises 7–34, simplify the complex fractions using either method. (See Examples 1–6.)
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Problem 21PE: For Exercises 7–34, simplify the complex fractions using either method. (See Examples 1–6.)
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Problem 22PE: For Exercises 7–34, simplify the complex fractions using either method. (See Examples 1–6.) 6 + 6 k... Problem 23PE: For Exercises 7–34, simplify the complex fractions using either method. (See Examples 1–6.) m 7 − 7... Problem 24PE: For Exercises 7–34, simplify the complex fractions using either method. (See Examples 1–6.) 2 p + p... Problem 25PE: For Exercises 7–34, simplify the complex fractions using either method. (See Examples 1–6.)
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Problem 26PE: For Exercises 7–34, simplify the complex fractions using either method. (See Examples 1–6.) 1 m 2 +... Problem 27PE: For Exercises 7–34, simplify the complex fractions using either method. (See Examples 1–6.) 8 a + 4... Problem 28PE: For Exercises 7–34, simplify the complex fractions using either method. (See Examples 1–6.) 2 w + 1... Problem 29PE: For Exercises 7–34, simplify the complex fractions using either method. (See Examples 1–6.)
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Problem 30PE: For Exercises 7–34, simplify the complex fractions using either method. (See Examples 1–6.) 1 − 9 p... Problem 31PE: For Exercises 7–34, simplify the complex fractions using either method. (See Examples 1–6.)
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Problem 32PE: For Exercises 7–34, simplify the complex fractions using either method. (See Examples 1–6.)
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Problem 33PE: For Exercises 7–34, simplify the complex fractions using either method. (See Examples 1–6.) 1 k − 6... Problem 34PE: For Exercises 7–34, simplify the complex fractions using either method. (See Examples 1–6.)
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Problem 35PE Problem 36PE Problem 37PE Problem 38PE Problem 39PE Problem 40PE Problem 41PE Problem 42PE Problem 43PE Problem 44PE: For Exercises 41–50, simplify the complex fractions using either method. 6 a − 1 + 4 b − 1 8 b − 1 Problem 45PE Problem 46PE Problem 47PE Problem 48PE Problem 49PE Problem 50PE Problem 51PE Problem 52PE format_list_bulleted