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Multiplying and Dividing Rational Expressions NAME Write a rational expression to describe the volume of the Study Guide and Intervention ( continued)



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Chapter 8A3Glencoe Algebra 2

Answers

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Answers(Lesson 8-1)

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. PracticeMultiplying and Dividing Rational Expressions NAME ______________________________________________ DATE______________ PERIOD _____ 8-1

Chapter 8

9

Glencoe Algebra 2

Lesson 8-1

Simplify each expression.

1. 2. 3. 4. 5.

6. 7.?

8.?9.?

10.? n?w 11.?

12.?13.?

14. 3 ?15.?

16.?17.?

18.? 19. 20. ?2(x?3) 21.
22.

GEOMETRY

A right triangle with an area of x

2 ?4 square units has a leg that measures 2x?4 units. Determine the length of the other leg of the triangle. x?2 units 23.

GEOMETRY

A rectangular pyramid has a base area of square centimeters and a height of centimeters. Write a rational expression to describe the volume of the rectangular pyramid. cm 3 x? 5? 6 x 2 ?3x ??x 2 ?5x?6x 2 ?3x?10 2x x 2 ?2x?4 x(x?2) ?xx 23
22
x 3 ???x 2 ?x? 4x2 3 4 ?x 2 4?9 ?3? 8x 2x?1? 4 ?x ?2x x?1 ?4? xx 5?2 2a?6 ?5a?109 ?a 2 ??a 2 ?5a?6 2s?3 ??(s?4)(s?5) s 2 ?10s?25 s?42s2 ?7s?15 (s?4) 2 2 ??x(x?3) 6x 2 ?12x

4x?123x?6

x 2 ?9 1 ??2(x?y) x 2 ?y 2 3x?y 6 xy 3 3w 24x
2 w 5 2xy? w 2 a 2 w 2 y 2 a 3 w 2 ?w 5 y 2 a 5 y 3 wy 7 5x?1 ??2(x?5) 25x
2 ?1 ??x 2 ?10x?25x?5 ?10x?2 5x? 25x
2 ?8 ?xx 2 ?5x?24 6x?2x 2 w 2 ?n 2 y?aa?y ?w?n 1 ?n 2 n 2 ?6n n 8 n 5 ?n?6 2?3 4 ?y?aa?y 6 5ux 2 ?21yz 5 25x
3 ?14u 2 y 2 ?2u 3 y 15xz 5 x?2? x x 4 ?x 3 ?2x 2 x 4 ?x 3 v?5 ?3v?2 25 ?v
2 ??3v 2 ?13v?10 2k?5? k?3 2k 2 ?k?15 k 2 ?9

2y?3?7y?1

10y 2 ?15y 35y
2 ?5y 4m 4 n 2 9 (2m 3 n 2 3 ???18m 5 n 4 1 ?3a 2 bc 9a 2 b 3 ?27a 4 b 4 c Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Skills PracticeMultiplying and Dividing Rational Expressions

Chapter 8

8

Glencoe Algebra 2

Simplify each expression.

1. 2. 3. x 6 4. 5. 6.

7. 8.?

9.? 6e 10.?

11.?21g

3 12.? 13.? x(x?2) 14.? 15. ?16.?(w?8)(w?7)

17.?(3x

2 ?3x)18.? 19. 20. a?b? 2 ?a 2 4? ab 2 ?a 2? ab 5 ?2c 4 d ?2c d 2 2? ?5c d 6? (4a?5)(a?4)?? 3a?2 4a?5 ??a 2 ?8a?1616a 2 ?40a?25 3a 2 ?10a?8 1 ?6x x 2 ?5x?4 2x?8 t?12 ?2(t?2) 2t?2 ??t 2 ?9t?14t 2

19t?84??

4t?4w 2 ?6w?7 w?3w 2 ?5w?24 w?1 q 2 ?2(q?2) q 2 ?4 3q 2 q 2 ?2q 6q3x ?x 2 ?43x 2 ?x?2 32z
7 ?35v 2 y 25y
5 ?14z 12 v 5 80y
4 ?49z 5 v 7 1 ?3g 2 y 2 7g? y 2 1 ??2s 3 (s?2) s?2? 10s 5 5s 2 ?s 2 ?410(ef) 3 8e 5f24e 3 5f 2 mn 2 4 n 3 63m
2n a?8?a?4 3a 2 ?24a ??3a 2 ?12a x?2?x?1 x 2 ?4 ??(x?2)(x?1) 9 ?x?3 18 ?2x?6 2 ?y 4 8y 2 (y 6 3 4y 24
(x 6 3 ?(x 3 4 b ?5a 5ab 3 ?25a 2 b 2 3x?2y 21x
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