Intermediate Algebra (11th edition)

9. or 10.


10. or 12.Begin by subtracting 5 from
    each side. Then divide each side by 2. 13.6 ft 14.19.0%

15.6.5% 16. 17.$617 billion 18.$92.4 billion 19.

20. 21.length: 13 m; width: 8 m 22.17 in., 17 in., 19 in.

23.12 kg 24.30 L 25.10 L 26.$10,000 at 6%; $6000 at 4%

27.15 dimes; 8 quarters 28.7 nickels; 12 dimes 29.A

30. (a)530 mi (b)328 mi 31.2.2 hr 32.50 km per hr;

65 km per hr 33.1 hr 34.46 mph 35.

36. 
    
    
    
    37. 
        
        
        
        38. 
            
            
            
            39. 
                
            
            
            
            
        
        
        
        
    
    
    
    


37. 
    
    
    
    41. 
        
        
        
        42. 43.38 m or less
            44.34 tickets or less (but at least 15) 45.any score greater than
        
        
        
        
    
    
    
    

or equal to 61 46.Because the statement is false,the
inequality has no solution. 47. 48.

49. 
    
    
    
    50. 
        
    
    
    
    


50. 
    
    
    
    52. 
        
    
    
    
    


51. 
    


52. 
    
    
    
    55. 
        
    
    
    
    


53. 
    


54. 
    
    
    
    58. 
        
        
        
        59. 
            
            
            
            60. 
                
                
                
                61. 
                    
                
                
                
                
            
            
            
            
        
        
        
        
    
    
    
    


55. 
    
    
    
    63. 
        
        
        
        64. 
            
            
            
            65. 
                
                
                
                66. 
                    
                
                
                
                
            
            
            
            
        
        
        
        
    
    
    
    


56. 
    
    
    
    68. 
        
        
        
        69. 
            
            
            
            70. 
                
            
            
            
            
        
        
        
        
    
    
    
    


57. 
    
    
    
    72. 
        
        
        
        73. 
            
            
            
            74. 
                
            
            
            
            
        
        
        
        
    
    
    
    


58. 
    
    
    
    76. 
        
        
        
        77. 
            
            
            
            78. 79.10 ft
            
            
            
            
        
        
        
        
    
    
    
    

80.46, 47, 48 81. 82. 83.

84. 
    
    
    
    85. 
        
        
        
        86. 
            
            
            
            87. 88.any amount
                greater than or equal to $1100 89. 90.
            
            
            
            
        
        
        
        
    
    
    
    

91.5 L 92. 93.{30} 94. 95.

96. 
    
    
    
    97. (a) (b) (c)
    
    
    
    


97. 
    
    
    
    99. 
        
    
    
    
    


98. (a) Illinois (b) Illinois, Maine, North Carolina, Oregon,
    Utah (c)

Chapter 2 Test (pages 131–132)

[2.1]1. 2. 3. 4. (a) ;

contradiction (b) ; identity (c) ; conditional

equation [2.2]5. 6. [2.3, 2.4]7.3.326 hr

8.6.25% 9.74.2% 10.$8000 at 3%; $20,000 at 5% 11.faster car:
60 mph; slower car: 45 mph 12.40°, 40°, 100°

[2.5]13.

14. 
    
    
    
    15. 021
    
    
    
    

1 1, 2 2

010 28

1 - q, 28 2

0 1

3 1, q 2

v=

S+ 16 t^2

t

h=

3 V

b

5 all real numbers 6 506

5 - 196 556 5 all real numbers 6 0

6 0

5 6 5

0 68 –2^07

0 0 1 - q, q 2 0

E-4, -^23 F 3 - 4, - 24 E1,^113 F

A-q, -^135 B ́ 1 3, q 2 1 - q, q 2

A-q, 1714 B A-3, 27 B 1 - q, 1 4 80°

E- 37 , 1F 53006 3 - 16, 10 4

3 - 2, 3 2 506 1 - q, q 2 1 - q, 2 4

k=

6 r-bt

a

3 - 3, - 24 1 - q, q 2 1 - 2, q 2

E- 43 ,^12 F E- 21 F 1 - 14, 14 2 3 - 1, 13 4

{-11, 7} E-^13 , 5F 0 5 0, 7 6 E- 23 , 21 F

1 - 3, 4 2 1 - q, 2 2 1 4, q 2 1 1, q 2 5 - 7, 7 6

–2 0 7

1 - q, -2] ́[7, q 2

0

–2 0 2

1 - q, q 2

–3 0 5

1 - q, - 34 ́ 1 5, q 2

014168

1 8, 14 2

093 6

1 6, 9 2

5 a, c, e, f, g 6 5 a, b, c, d, e, f, g 6

5 a, c 6 5 a 6

• 8 6- 13

3 - 3, q 2 3 3, 5 2 A^5931 , qB

150°, 30° 1 - 9, q 2 1 - q, - (^34) A^32 , qB
40°, 45°, 95°
4 x
x+ 9
25° 9 -^13 x

• 
  

x= 341 P+ 122 , x= 34 P+ 16

b= x=- 4 M- 3 y

2 a

h

b= -B

2 a-Bh

h

, 16. 17.C 18.^82

[2.6]19. (a) (b) 20.

21. [2.7]22. 23.


22. 
    
    
    
    25. 
        
        
        
        26. 
            
            
            
            27. 
                
                
                
                28. (a)
                    (b) (c)
                
                
                
                
            
            
            
            
        
        
        
        
    
    
    
    

Chapters 1–2 Cumulative Review Exercises

(pages 133–134)

[1.1]1.9, 6 2.0, 9, 6 3. , 0, 9, 6 4. , , 0, , 9, 6

5. 6.All are real numbers. [1.2]7. 8. 8 [1.3]9. 8


6. 0 11. 12. 13. 14. 15.


7. 184 17. [1.4]18. 19.
   20.commutative property 21.distributive property [2.1]22.


8. 
   
   
   
   24. [2.2]25. [2.1]26.
   
   
   
   


9. 
   

   [2.5]28.

   
   

29.

[2.6]30.

[2.7]31.

[2.3]32.$5000 at 5%; $7000 at 6% 33.2 L [2.2, 2.3]34.44 mg

35. (a) 348 (b)19.8%

GRAPHS, LINEAR EQUATIONS, AND FUNCTIONS

Connections ( page 143) 1.x-intercept: ;y-intercept:

For Problems 2 and 3, we give each equation solved for y. Graphs are

not included. 2. 3.

Section 3.1 (pages 143–147)

1. (a)xrepresents the year; yrepresents the higher education aid in billions
   of dollars. (b)about $150 billion (c) 2007, 150 (d)In 1997,higher
   education aid was about $75 billion. 3.origin 5.y; x; x; y 7.two


2. (a)I (b)III (c)II (d)IV (e)none (f )none 11. (a)I or III
   (b)II or IV (c)II or IV (d)I or III 13. –21.

0

y

x

19

21

15

13

17

1 2

y= 4 x+ 3 y=-0.5x

1 - 2, 0 2 1 0, 3 2

3

-^1701

A-q, -^17 D ́ 3 1, q 2

012

1 - q, 0 2 ́ 1 2, q 2

0153 3

C^53 , 3B

–14 –7 0

3 - 14, q 2

5 all real numbers 6

5306 5156 b=P-a-c 0

556

1627 -^20 r+^1713 k+^42

• 243 343216 - 278 - 4096 - 16


• 26 -^2221

4

• 5
  2


• 8 - 8 3

1 - q, q 2 0

0 A 31 , 37 B E- 35 ,3F E-^57 ,^113 F 0

1 - q, 3 2 ́ 3 6, q (^2) C- 25 , 1D A-q, -^76 B ́A^176 , qB
5 1, 5 6 5 1, 2, 5, 7, 9, 12 6 3 2, 9 2
–3 0 3
3 - 3, 3 4

Answers to Selected Exercises A-5

23. (a)
    (b)
    xx

yy

00

y y = = x x – 4– 4

(3, –1)(3, –1)

(4, 0)(4, 0)

(2, –2)(2, –2)

(1, –3)(1, –3)

(0, –4)(0, –4)

• 4; -3; -2; -1; 0 25. (a) ; 3; 2;
  (b)
  x – y = 3
  0

y

x

(0, –3) (2, –1)

(3, 0)

(5, 2)

• 3 - 1