Skills Practice Multiplying and Dividing Rational Expressions Chapter 8 8 insufficient and ambiguous to state a solution regarding distance as 17; Seventeen
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8-6 Skills Practice Solving Rational Equations and Inequalities Solve each equation or inequality Check your solutions 1 1 = -1 2 2 = 1 + 1 WWW KANNA
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Skills Practice Multiplying and Dividing Rational Expressions Chapter 8 8 insufficient and ambiguous to state a solution regarding distance as 17; Seventeen
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Skills Practice Expressions and Solve each equation or formula for the specified variable 23 I Write an absolute value inequality for each of the following Sample answer using (5, 9) and (40, 44): y x 4 Rational Exponents NAME
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All real numbers are in the set of rational numbers D 4 the solution will be the intersection of the solution sets of the two inequalities D 12 If 3 x 1 10, Answers Answers (Lesson 1-1) Skills Practice Expressions and Formulas F ind the value of Use arrow keys and enter to set the bound prompts The solution is
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Lesson 8-6 Solving Rational Equations and Inequalities 483 Solve Rational Inequalities Inequalities that contain one or more rational expressions are called rational inequalities To solve rational inequalities complete the following steps Step 1 State the excluded values Step 2 Solve the related equation
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Chapter 8A1Glencoe Algebra 2
Answers
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.Answers(Anticipation Guide and Lesson 8-1)
8-1 Lesson Reading GuideMultiplying and Dividing Rational ExpressionsChapter 8
5Glencoe Algebra 2
Lesson 8-1
Get Ready for the LessonRead the introduction to Lesson 8-1 in your textbook. • Suppose that the Goodie Shoppe also sells a candy mixture made with4 pounds of chocolate mints and 3 pounds of caramels, then
of the mixture is mints and of the mixture is caramels. • If the store manager adds another ypounds of mints to the mixture, what fraction of the mixture will be mints?Read the Lesson1. a.In order to simplify a rational number or rational expression, the
numerator and and divide both of them by their b.A rational expression is undefined when its is equal to . To find the values that make the expression undefined, completely the original and set each factor equal to .2. a.To multiply two rational expressions, the and
multiply the denominators. b.To divide two rational expressions, by the of the .3. a.Which of the following expressions are complex fractions?
ii, iv, v i. ii. iii. iv. v. b.Does a complex fraction express a multiplication or division problem? division How is multiplication used in simplifying a complex fraction?Sample answer:To divide the numerator of the complex fraction by the denominator,multiply the numerator by the reciprocal of the denominator.
Remember What You Learned
4. One way to remember something new is to see how it is similar to something you already know. How can your knowledge of division of fractions in arithmetic help you tounderstand how to divide rational expressions?Sample answer:To divide rationalexpressions, multiply the first expression by the reciprocal of thesecond.This is the same "invert and multiply" process that is used whendividing arithmetic fractions.
?r 2 925?r? 35
?z? z1 zr?5 ?r?5 ?3 8 ??15 6 7 ?12 divisorreciprocal multiply numerators multiply 0 denominator factor 0 denominator greatest common factor denominator factor
4 ?y?7 ?y
?3 7 47Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.NAME ______________________________________________ DATE______________ PERIOD _____
8 Anticipation GuideRational Expressions and Equations