Beginning Algebra, 11th Edition

Chapter 8 Test (pages 549–550)

[8.1]1. , 14 2. (a)irrational (b)11.916 3. (a)B (b)F

(c)D (d)A (e)C (f )A [8.2]4. 5. 6.

[8.3]7. 8. [8.2]9. [8.5]10. 31

11. 
    
    
    
    12. [8.3]13.
    
    
    
    

[8.4]14. [8.1]15. (a) in. (b)8.485 in. 16.50 ohms

[8.4]17. 18. 19. [8.5]20.

21. [8.6]22. 23. 24. 25.

26.12 is not a solution. A check shows that it does not satisfy the original
equation. The solution set is. [8.7]27. 16 28. 29. 5
30.

Chapters 1–8 Cumulative Review Exercises
(pages 551–552)

[1.2]1. 54 2. 6 [1.4]3. 3 [2.3]4. [2.8]5.

6. [2.4]7.2006: $329,924; 2007: $425,115
   [3.2]8. 9. [3.5]10.

[3.3, 3.4]11. (a)20.3; The number of subscribers increased by an average
of 20.3 million per yr. (b) (c)303.2 million
[4.1– 4.3]12. 13.
[4.4]14.from Chicago: 61 mph; from Des Moines: 54 mph

[5.1]15. [5.2]16. or

[5.4]17. [5.7]18.
[6.2–6.4]19. 20.

21. [7.2]22. 23. , or

[7.4]24. 25. [7.5]26.

[6.5]27. 28. [7.6]29.

30. [8.6]31. [8.3]32.

[8.5]33. 34. [8.7]35. 32

QUADRATIC EQUATIONS

Section 9.1 (pages 557–559)

1.C 3.D 5. 7. ,or 9.

11. 
    
    
    
    13. 
        
        
        
        15. 
            
            
            
            17. 
                
                
                
                19. 
                    
                
                
                
                
            
            
            
            
        
        
        
        
    
    
    
    


12. 
    
    
    
    23. 25.e 27.E 226 F
        227
        5 1.5 6 E 23 F 7 f
    
    
    
    

5  96 E 214 F E 423 F 0 E 25 F

5 - 7, 8 6 5 - 11, 11 6 5  (^116) E- 35 , 6F
9

• 23 + 25 21 - 522

B=CD-AD 5166 2923

AC- 1

5 3, 4 6 5 - 2, - 16 5196

• 21


• 2 x- 14
  1 x+ 321 x- 12

y^2

1 y+ 121 y- 12

1 t+ 521 t+ 32 t^2 + 8 t+ 15

x+ 1

x

19 z+ 422

1 m+ 821 m+ 42 16 a+ 5 b 212 a-b 2

3 x^3 + 11 x^2 - 13 4 t^2 - 8 t+ 5

y^15

5832

y^15

23 # 36

12 x^10 y^2 ,

51 3, - 726 51 x, y 2 | 2 x-y= 66

y=20.3x+140.8

1 5, q 2

536 3 - 16, q 2

1

3

0 - 25

0 536 E^14 , 1F 5 - 46

1 + 22

2

• 12 - 323
  13

26 x - 232

3 x

5214

7

(^2318622)
3
622 + 2 - 3214 - 27 11 + 2230 - 6 x 232 x
927 - 523 x 2 y 234 x^2
(^8222234426)
5

• 14
  29. 31. 33. 35.According to the
  square root property, is also a solution, so her answer was not
  completely correct. The solution set is. 37. 39.
  41. 43. 45. 47.
  49. 51. 53.

55.Jeff ’s first solution, , is equivalent to Linda’s second

solution,. This can be verified by multiplying

by 1 in the form. Similarly, Jeff ’s second solution is equivalent

to Linda’s first one. 57. 59.

61.about sec 63.9 in. 65.2% 67. 69.

71.

Section 9.2 (pages 565–567)

1.25; 3.100; 5.1; 7.

9.D 11. 13. 15. 17.

19. 
    
    
    
    21. 
        
        
        
        23. 
            
            
            
            25. 
                
            
            
            
            
        
        
        
        
    
    
    
    


20. 
    
    
    
    29. 
        
        
        
        31. 
            
        
        
        
        
    
    
    
    


21. (a) (b) 35. (a)
    (b) 37.3 sec and 5 sec 39.1 sec and 5 sec
    41.75 ft by 100 ft 43.8 mi 45. 46.


22. 48.It occurred when we added the 16 squares.


23. 
    
    
    
    51. 
        
        
        
        53. 
            
        
        
        
        
    
    
    
    

Section 9.3 (pages 571–573)

1. , , 3. , ,


2. , , 7. , ,


3. , , 11. , ,


4. 2 ashould be the denominator for as well. The correct
   formula is. 15.


5. 
   
   
   
   19. 
       
       
       
       21. 
           
           
           
           23. 
               
           
           
           
           
       
       
       
       
   
   
   
   


6. 
   
   
   
   27. 
       
       
       
       29. 
           
           
           
           31. 
               
               
               
               33. 
                   
               
               
               
               
           
           
           
           
       
       
       
       
   
   
   
   


7. 
   
   
   
   37. 
       
       
       
       39. (a)
       
       
       
       
   
   
   
   

(b) 41. (a) (b)

43. 
    
    
    
    45. 
        
        
        
        47. 
            
            
            
            49. 
                
            
            
            
            
        
        
        
        
    
    
    
    


44. 53.r=-ph^2 p 55.3.5 ft

(^2) h (^2) +pS
E p

• 1,^52 F

e 0 E 1  2 F

• 1  273
  6
  E-^23 ,^43 F f

e 5 - 0.618, 1.618 6

1  25

5 - 2.158, 1.158 6 2 f

e-^1 ^211

2

e-^5 ^261 f

2

0 f

e^6 ^2260

3

E0,^127 F E^226 F E^52 F f

e-^6 ^226526 E-1,^52 F 5 - 1, 0 6

2

f

x=-b^2 b 5 - 13, 1 6

(^2) - 4 ac
2 a

• b

a= 1 b= 1 c=- 12 a= 9 b= 9 c=- 26

a= 3 b=- 4 c=- 2 a= 3 b= 7 c= 0

a= 3 b= 4 c=- 8 a=- 8 b=- 2 c=- 3

225

2 - 25

2

4 - 323

3

x^2 + 8 x+ 16

x^2 x^2 + 8 x

5 - 3.732, -0.268 6

e 5 - 0.633, 2.633 (^6) E- 2  (^23) F
3  226
3
f
5 - 4, 2 (^6) E 4  (^23) F E 1  (^26) F
e-^7 ^297
6
e^9 ^221 f
6
E- 23 , 21 F^0 f
5 1, 3 6 E- 1  26 F E 4  223 F 5 - 36
25
4 ; A^ p-
5
2 B
1 x+ 522 1 z- 1022 1 x+ 122 2
1 x- 522
3 + 26
4
4 + 423
5
1
2
5 - 4.48, 0.20 6 5 - 3.09, -0.15 6

• 1


• 1

5 + 230

2

• 5 - 230
  
  
  • 2
  
  
  
  

5 + 230

2

e^1 ^423

4

e-^1 ^322 E- 10  (^423) F f
3
f
e^5 ^230
2
E^8 ^323 F E-3, 35 F E0, 23 F f
5  96 5 - 2, 8 6 0

• 9

e (^) E (^323) F E (^222) F
225
5
f
A-22 Answers to Selected Exercises
x
y
0
2 x – 5y > 10
x
x = 2
y
x 02
y
(^05)
–4
–4x + 5y = –20
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