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Intermediate Algebra (11th edition)

(Marvins-Underground-K-12) #1

Chapter 6 Review Exercises (pages 356–358)


















































  6. 16.prime 17.
















  9. 23.It is not factored because there are two terms:
    and. The correct answer is.
























































































  20. 51.3 ft 52.length: 60 ft; width: 40 ft




53.16 sec 54.1 sec and 15 sec 55.The rock reaches a height of
240 ft once on its way up and once on its way down.


56.8 sec 57.









  2. 61.prime 62.
















67.6 in. 68.width: 25 ft; length: 110 ft


Chapter 6 Test (page 358)


[6.1–6.4]1. 2.



































  5. [6.2]14.D [6.5]15.












19.length: 8 in.; width: 5 in. 20.2 sec and 4 sec


Chapters 1– 6 Cumulative Review Exercises


(pages 359–360)


[1.4]1. 2. [1.3]3. 10 4.undefined


[2.1]5. 6. [2.5]7. [2.6]8.



  1. [2.7]10. 11.

  2. 1 - q, - 24 ́ 3 7, q 2 [2.4]13.2 hr


1 - q, 2 2 ́ 1 3, q 2 E-^165 , 2F 1 - 11, 7 2

E 67 F 5 - 16 A- 21 , qB 1 2, 3 2


  • 2 m+ 6 2 x^2 + 5 x+ 4


r=


  • 2 - 6 t
    a- 3
    , or r=
    2 + 6 t
    3 - a
    E0, 35 F E- 52 , 1 F


13 x^2 + 1219 x^4 - 3 x^2 + 12 E-2, - 32 F

1 y- 621 y^2 + 6 y+ 362 12 k^2 - 5213 k^2 + 72

1 a+b 21 a-b 21 a+ 22 13 k+ 11 j 213 k- 11 j 2

14 p-q 21 p+q 2 14 a+ 5 b 22 1 x+ 1 + 2 z 21 x+ 1 - 2 z 2

1 x+y 213 +b 2 - 12 x+ 921 x- 42 13 x- 5212 x+ 72

11 z 1 z- 42 5 x 2 y 312 y^2 - 1 - 5 x^32

15 z- 3 m 22 5 y^213 y+ 42 E- 53 , 4F 5 - 1, 0, 1 6

a 16 - m 215 +m 2 12 - a 214 + 2 a+a^22

w= 14 + 9 k 214 - 9 k 2

7

z- 3

, or w=


  • 7
    3 - z


k=


  • 3 s- 2 t
    b- 1
    , or k=
    3 s+ 2 t
    1 - b


E-2, -^65 , 3F

E 21 , 1F 546 E- 27 , 0, 4F 5 - 3, -2, 2 6

E- 23 ,^13 F E- 23 , -^14 F 5 - 3, 3 6 E- 23 , 0F

E-1, -^25 F 5 2, 3 6 5 - 4, 2 6 E- 25 ,^103 F

1 x+ 121 x- 121 x- 221 x^2 + 2 x+ 42 546

1 x+ 3 + 5 y 21 x+ 3 - 5 y 2 2 b 13 a^2 +b^22

1 x^4 + 121 x^2 + 121 x+ 121 x- 12

1 m+ 121 m^2 - m+ 121 m- 121 m^2 +m+ 12

1 r+ 321 r^2 - 3 r+ 92 15 x- 12125 x^2 + 5 x+ 12

16 m- 5 n 216 m+ 5 n 2 1 x+ 722 13 k- 222

p+ 1 14 x+ 5214 x- 52 13 t+ 7213 t- 72

x^21 y^2 - 62 51 y^2 - 62 1 y^2 - 621 x^2 + 52


13 r+ 1621 r+ 12

12 k^2 + 121 k^2 - 32 1 p+ 2221 p+ 321 p- 22

3 b 12 b- 521 b+ 12 1 y 2 + 421 y 2 - 22

12 k-h 215 k- 3 h 2 2 x 14 +x 213 - x 2

13 r+ 1214 r- 32 12 m+ 5215 m+ 62

1 x+ 321 x-y 2 13 p- 421 p+ 12 13 k- 2212 k+ 52

1 m+q 214 +n 2 1 x+y 21 x+ 52 1 m+ 3212 - a 2

6 rt 1 r 2 - 5 rt+ 3 t 22 1 x+ 321 x- 32 1 z+ 1213 z- 12

6 p 12 p- 12 7 x 13 x+ 52 4 qb 13 q+ 2 b- 5 q 2 b 2

[3.1]14.

4 x + 2y = –8

–2

–4

0 2

y

x

Answers to Selected Exercises A-15


[5.4]23. [5.2]24.

[6.1–6.4]25. 26.




    1. [6.5]29. 30. 31.4 ft
      32.longer sides: 18 in.; distance between: 16 in.




RATIONAL EXPRESSIONS AND FUNCTIONS

Section 7.1 (pages 368–371)


1.7; 3. ; 5.0;


  1. ; 9.none;
    11.none; 13. 15. 17.

  2. (a)C (b)A (c)D (d)B (e)E (f )F 21.numerator:
    denominator: 23.B 25. 27. 29.


31.It is already in lowest terms. 33. 35. 37.



























In Exercises 53 and 55, there are other acceptable ways to express each

answer.






      1. 59.It is already in lowest terms.



























  3. (There are other ways.) 75. 77. , or








































Section 7.2 (pages 377–379)

















                1. 1



















































    1. 41.The expression
      is incorrect. The third term in the numerator should be
      since the sign should be distributed over both 4xand The answer
      should be. 43. 45. 47.
      16 b+ 9 a^2
      60 a^4 b^6




5 - 22 x

12 x^2 y

31

3 t


  • 3 x+ 1
    x+ 2

  • -1.


+1,

x- 4 x- 1

x+ 2

2 y 1 y+ 321 y- 32 21 x+ 2221 x- 32

x 1 x- 421 x+ 12 1 t+ 521 t- 2212 t- 32

21 y+ 42 1 x+ 9221 x- 92 1 m+n 21 m-n 2

a-b 72 x^4 y^5 z 1 z- 22

5

p+ 3

x- 5


  • 2
    x^3


2

x

6 x+y

7

9

t

31


  • 36
    1
    18


4

5

17



  • (^42)
    2
    1 k- 121 k- (^223)
    k+ 5 p
    2 k+ 5 p
    2 x+ 3
    2 x- 3
    a^2 + 2 ab+ 4 b^2
    a+ 2 b
    2 x- 3
    21 x- 32
    a^2 +ab+b^2
    a-b
    x+ 4
    x- 4




  • 2
    14 x^2
    5




  • 354 - 1 z+ 12 - z- 1




p+ 5

2 p

7 x

6

2 x+ 3

x+ 2

x+ 4

x- 2

27

2 mn^7

3 a^3 b^2

4

3 y

x^2




    • (^12)
      x+y
      x-y




  • 1 x+y 2



    • 1
      a+b
      a-b




c+ 6 d

c-d

a^2 - ab+b^2

4 x+ 1

4 x+ 3

x- 3

x+ 1

2

t- 3

t- 3

3

z

6

6

7

x+ 3

2 x 1 x- 32

x- 3

x+ 5

4 x; x, 4; x x

x^2 ,

3

4

9

10

2

5 x|x is a real number (^615)



  • 2, 23 Ex|xZ-2, 23 F 5 x|x is a real number 6


5 x|xZ 76 - 71 Ex|xZ- 17 F 5 x|xZ 06

7


E-4, - 23 , 1 F E^13 F

110 x^2 + 92110 x^2 - 92 12 p+ 3214 p^2 - 6 p+ 92

12 w+ 7 z 218 w- 3 z 2 12 x- 1 +y 212 x- 1 - y 2

49 x^2 + 42 xy+ 9 y^2 x^3 + 12 x^2 - 3 x- 7

[3.2]15. 16. 0 [3.6]17.




    1. [4.1]20. [4.2]21.
      [5.1]22.




y

18 x

51 1, 5 26 51 1, 1, 0 26

A-^72 , 0B 1 0, 7 2


  • 1 - 1

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