Beginning Algebra, 11th Edition

Section 7.3 (pages 438–440)

1.C 3.C 5. 60 7. 1800 9. 11. 30 p 13. 15.

17. 
    
    
    
    19. 
        
        
        
        21. 
            
            
            
            23. 
                
            
            
            
            
        
        
        
        
    
    
    
    


18. 
    
    
    
    27. 
        
        
        
        29. 
            
        
        
        
        
    
    
    
    


19. or 33. or 35. or


20. 
    
    
    
    39. 
        
    
    
    
    


21. 
    
    
    
    43. 
        
    
    
    
    


22. 7 46. 1 47.identity property of multiplication


23. 7 49. 1 50.identity property of multiplication


24. 
    
    
    
    53. 
        
        
        
        55. 
            
            
            
            57. 
                
                
                
                59. 
                    
                
                
                
                
            
            
            
            
        
        
        
        
    
    
    
    


25. 
    
    
    
    63. 
        
    
    
    
    


26. 
    
    
    
    67. 
        
    
    
    
    


27. , or 71. 73.

Section 7.4 (pages 445–448)

1.E 3.C 5.B 7.G 9. 11. 13. 1 15.

17.b 19.x 21. 23. 25. 27.

29. 
    
    
    
    31. 
        
        
        
        33. 
            
            
            
            35. 
                
                
                
                37. 
                    
                
                
                
                
            
            
            
            
        
        
        
        
    
    
    
    


30. 
    
    
    
    41. 
        
        
        
        43. 
            
        
        
        
        
    
    
    
    


31. 
    
    
    
    47. 
        
        
        
        49. , or
        
        
        
        
    
    
    
    


32. or 53. 55. , or


33. or 59. or


34. 
    
    
    
    63. 
        
    
    
    
    


35. 
    
    
    
    67. 
        
    
    
    
    


36. or


37. 
    
    
    
    73. (a) (b)
    
    
    
    


38. 
    
    
    
    77. 
        
        
        
        79. 
            
        
        
        
        
    
    
    
    

Section 7.5 (pages 453–455)

1. (a)6; (b)12; (c) (d) 3.Choice D is
   correct, because every sign has been changed in the fraction. This

means it was multiplied by 5. 7. 9.
2 a^2 b
3

1

xy

• 
  
  
  
  • (^11) =1. - 6
    61 - 41 16 ,A-^14 B -^23
    6
    7
    5
    4
    10 x
    491101 - x 2
    1
    4
    9 k^2 + 6 k+ 26
    513 k+ 12
    15 r^2 + 10 ry-y^2
    13 r+ 2 y 216 r-y 216 r+y 2
    21 x^2 + 3 xy+ 4 y^22
    1 x+y 221 x+ 3 y 2
    21 x^2 + 3 xy+ 4 y^22
    1 x+y 21 x+y 21 x+ 3 y 2
    ,
    9 r+ 2
    r 1 r+ 221 r- 12
  
  
  
  


• 
  

  5 q^2 - 13 q+ 7
  13 q- 221 q+ 4212 q- 32

  
  


• 
  

  x^2 + 6 x+ 11
  1 x+ 321 x- 321 x+ 12

  
  


• 
  

  m-n
  21 m-n 2

  
  

6

5 - 4 p

• 6
  4 p- 5 ,


• x-y
  3 y- 5 x

x+y

5 x- 3 y,

5

y^2 - x

• 5
  x-y^2


• 4
  2
  5 - x


• 2
  x- 5 ,

m- 2 2 - m

3

t

4 y^2 - y+ 5

1 y+ 1221 y- 12

6 m^2 + 23 m- 2

1 m+ 221 m+ 121 m+ 52

x+ 4

x+ 2

• k- 8
  k 1 k+ 42

7 - 6 p

3 p^2

5 x+ 9

6 x

x+ 1

2

57

10 x

• 3 x- 2
  4 x

10 - 7 r

14

3 z+ 5

15

1

x- 3

y- 6

m- 1

m+ 1

4

y+ 4

11

m

13

20

11

8

• 2 y 1 y-z 22
  y^4 - z^3 y

2 y 1 z-y 21 y-z 2

y^4 - z^3 y

1 t-r 214 r-t 2

t^3 - r^3

ab 1 a+ 2 b 2

2 a^3 b+a^2 b^2 - ab^3

36 r 1 r+ 12

1 r- 321 r+ 221 r+ 12

61 k+ 12

k 1 k- 421 k+ 12

• 4 a
  18 a- 36

57 z

6 z- 18

60 m^2 k^3

32 k^4

• 45
  9 k

20

55

1 p+ 321 p+ 521 p- 62 1 k+ 321 k- 521 k+ 721 k+ 82

k 1 k+ 521 k- 22 a 1 a+ 621 a- 32

c-d d-c m- 3 3 - m p-q q-p

181 r- 22 12 p 1 p+ 522 81 y+ 221 y+ 12

15 a^5 b^312 p 1 p- 22 28 m^213 m- 52 301 b- 22

x^5180 y^484 r^5

11. 
    
    
    
    13. 
        
        
        
        15. 
            
            
            
            17. 
                
                
                
                19. 
                    
                    
                    
                    21. 
                        
                    
                    
                    
                    
                
                
                
                
            
            
            
            
        
        
        
        
    
    
    
    


12. 
    
    
    
    25. 
        
        
        
        27. 
            
            
            
            29. 
                
                
                
                31. 
                    
                
                
                
                
            
            
            
            
        
        
        
        
    
    
    
    


13. 
    
    
    
    35. 
        
        
        
        37. 
            
            
            
            39. 
                
            
            
            
            
        
        
        
        
    
    
    
    

41.division 43. 44. 45. 46.Answers will vary.

47. 
    
    
    
    49. 
        
        
        
        51. 
            
            
            
            53. 
                
                
                
                55. 
                    
                
                
                
                
            
            
            
            
        
        
        
        
    
    
    
    


48. 
    
    
    
    59. 
        
    
    
    
    

Section 7.6 (pages 462–465)

1.expression; 3.equation; 5.expression;

7.equation; 9.equation; 11.

13. 
    
    
    
    15. 1, , 2 17. is an
    
    
    
    

expression, not an equation. Only equations and inequalities are “solved.”

19. 
    
    
    
    21. 
        
        
        
        23. 
            
            
            
            25. 
                
                
                
                27. 
                    
                    
                    
                    29. 
                        
                    
                    
                    
                    
                
                
                
                
            
            
            
            
        
        
        
        
    
    
    
    


20. 
    
    
    
    33. 
        
        
        
        35. 
            
            
            
            37. 
                
                
                
                39. 
                    
                    
                    
                    41. 
                        
                    
                    
                    
                    
                
                
                
                
            
            
            
            
        
        
        
        
    
    
    
    


21. 
    
    
    
    45. 
        
        
        
        47. 
            
            
            
            49. 
                
                
                
                51. 
                    
                    
                    
                    53. 
                        
                    
                    
                    
                    
                
                
                
                
            
            
            
            
        
        
        
        
    
    
    
    


22. 
    
    
    
    57. 
        
        
        
        59. 
            
            
            
            61. 
                
                
                
                63. 
                    
                    
                    
                    65. 
                        
                    
                    
                    
                    
                
                
                
                
            
            
            
            
        
        
        
        
    
    
    
    


23. 
    
    
    
    69. 
        
        
        
        71. 
            
            
            
            73. 
                
                
                
                75. 77.Transform so that the terms with kare on one side and the remaining
                    term is on the other. 79. 81. 83. or
                
                
                
                
            
            
            
            
        
        
        
        
    
    
    70. 
        
        
        
        87. or
        
        
        
        
    
    
    
    


24. 
    
    
    
    91. or
    
    
    
    


25. or 95. or


26. 
    
    
    
    99. 
        
    
    
    
    

Summary Exercises on Rational Expressions

and Equations (pages 466–467)

1.expression; 2.expression; 3.expression;

4.equation; 5.expression; 6.expression;

7.equation; 8.expression;

9.expression; 10.equation; 11.equation;

12.expression; 13.expression; 14.equation;

15.expression; 16.expression; k+^3

51 k- 12

3 m+ 5

1 m+ 321 m+ 221 m+ 12

5136

7

12 z

16

3 k

E^17 , 2F

E-1,^125 F

13

31 p+ 22

t- 5

312 t+ 12

5396

5 k+ 8

k 1 k- 421 k+ 42

y+ 2

y- 1

596

1

2 x^21 x+ 22

y^3

x^3

10

p

289

z

(^288) hr
t
mph
t=-^2 x+^1

• x- 1
  t=^2 x-^1
  x+ 1
  z= ,


• 3 y
  9 xy- 5
  z=
  3 y
  5 - 9 xy
  ,

t=

• rs
  t= -rs+ 2 s+ 3 r
  rs
  y= rs- 2 s- 3 r,
  xz
  x+z

a=

2 S

nd

a= -L

2 S-ndL

nd

a= ,

h 1 B+b 2

R= 2

E

I-r

R=E-Ir

I

a=kF ,

m

F=ma

k

E-^13 , 3F^5 -^165 -^66 E-6, 21 F^566

536 536 5 - 36 E- 51 , 3F E-^12 , 5F 536

516 546 556 5 - 46 5 - 2, 12 6 0

5 - 66 0 556 546 556 Ex|xZ 34 F

E 41 F E- 43 F^5 -^1565765 -^1565 -^56

2

3 x

+^1

5 x

xZ-3, 4,-^12 xZ-9, - 2

5 - 106 506 xZ-2, 0

4043 x E^4043 F - 101 x

E^12 F^5 -^56

12 x+ 2 - 44 p^2 + 27 p

19 r

15

13

2

5

3

29

48

29

48

3

8 +

5

6

2

x- 3

x- 5

y+ 4

y- 8

2 x- 7

3 x+ 1

3 m 1 m- 32

1 m- 121 m- 82

• m
  m+ 2

z- 5

4

a- 2

2 a

5 y- 2 x

3 + 4 xy

40 - 12 p

85 p

y^2 +x^2

xy 1 y-x 2

31

50

a^2 - 5

a^2 + 1

8

x

2

x

m 1 m+ 22

31 m- 42

A-18 Answers to Selected Exercises

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