Beginning Algebra, 11th Edition

18. 
    

19.83 or more 20.When an inequality is multiplied or divided by a
negative number, the direction of the inequality symbol must be reversed.

Chapters 1–2 Cumulative Review Exercises
(pages 172–173)

[1.1]1. 2. [1.2]3. 4. [1.4]5.true

[1.5–1.6]6. 7. 28 [1.3]8. [1.7]9.distributive property
10.commutative property [2.1–2.3]11. 12.

13. [2.6]14. [2.5]15.

[2.8]16.

17. 
    

[2.4]18.4 cm; 9 cm; 27 cm [2.5]19.12.42 cm
[2.7]20.40 mph; 60 mph

LINEAR EQUATIONS AND INEQUALITIES
IN IN TWO VARIABLES; FUNCTIONS

Section 3.1 (pages 183–187)

1.between 2003 and 2004, 2004 and 2005, and 2005 and 2006
3.2003: 6.0%; 2004: 5.5%; decline: 0.5% 5.does; do not 7.II

9. 3 11.yes 13.yes 15.no 17.yes 19.yes 21.no


10. 17 25. 27. 29. 31.8; 6; 3; ; ;


11. ; 4; 9; ; ; 35.12; 12; 12; ;
    ; 37. ; ; ; ; ;


12. ; ; ; ; ; 41.4; 4; 4; ; ;
    43.No, the ordered pair represents the point 3 units to
    the right of the origin and 4 units up from the x-axis. The ordered pair
    represents the point 4 units to the right of the origin and 3 units up
    from the x-axis. 45.A: , I; B: , II; C: , II;
    D: , III; E: , no quadrant; F: , no quadrant
    47.– 57. 59.negative; negative
    61.positive; negative

63.If , then either and or and.
If and , then the point lies in quadrant II. If and
y 60 , then the point lies in quadrant IV.

x 60 y 70 x 70

xy 60 x 60 y 70 x 70 y 60

4747

4949 5757

5151

5555

xxxxx

yy

5353

1 - 5, - 22 1 3, 0 2 1 0, - 22

1 2, 4 2 1 - 3, 2 2 1 - 5, 4 2

1 4, 3 2

1 4, - 42 1 3, 4 2

• 2 - 2 - 21 9, - 221 2, - 221 0, - 22 1 4, 4 21 4, 0 2

1 12, 8 21 12, 0 2 - 10 - 10 - 101 4, - 1021 0, - 1021 - 4, - 102

• 9 1 - 9, 0 21 0, 4 21 9, 8 2 1 12, 3 2
  
  
  • 5 - 1 - 7 1 0, 8 21 6, 0 21 3, 4 2
  
  
  
  

3

–1 0 2

1 - 1, 2 4

0 1

1 - q, 1 4

y=

24 - 3 x

4

5 - 126 5266

5 - 16 5 - 16

• 8 - (^193)
  6
  x+ 12 =^2
  1
  2 x-^18
  48
  5
  37
  60
  –2 0 6
  1 - 2, 6 4

73. (a) (b) 75. (a)
    , (b)
    means that 26.9 percent of 2-year college students in 2007 received a
    degree within 3 years.
    (c) (d)With the exception of the point for
    2007, the points lie approximately on a
    straight line. Rates at which 2-year college
    students complete a degree within 3 years
    were generally decreasing.


74. (a)130; 117; 104; 91 (b)
    (c)yes

79.between 130 and 170 beats per minute; between 117 and 153 beats

per minute 81. 83.

Connections ( page 195) 1.

2.

Section 3.2 (pages 195–199)

5 x- 15 - 31 x- 22 = 0

3 x+ 4 - 2 x- 7 - 4 x- 3 = 0

5 - 26 5136

xx

yy

20 20 4040 6060 80 80

200200

150150

100100

5050

00

AgeAge

Lower LimitLower Limit

1 20, 130 2 , 1 40, 117 2 , 1 60, 104 2 , 1 80, 91 2

x

y

(^02002)
26
27
28
29
30
31
32
2004 2006
Ye a r
Percent (%)
1 2004, 29.0 2 , 1 2005, 27.5 21 2006, 26.6 2 , 1 2007, 26.9 2 1 2007, 26.9 2
1 5, 45 2 1 6, 50 2 1 2002, 31.6 2 , 1 2003, 30.1 2 ,
A-6 Answers to Selected Exercises

65. ; 6; ;

x

y

(0, –3)(2, –2)

(4, –1)(6, 0)

• 3 - 24 67. ; 4; ;

x

y

(4, 0)

(0, –3)

(– 4, – 6)

(– , – 4^43 )

• 3 - 6 - (^43)

69. ; ; ;

x

y

(0, – 4)

(5, – 4)

(–3, – 4)

(–2, – 4)

• 4 - 4 - 4 - 4 71.The points in each graph
  appear to lie on a straight line.

1.5; 5; 3 3.1; 3; 5.

x

y

0

(0, – 6)

(–2, 0)

3 x = –y – 6

(– , –5^13 )

• 6; -2; - 5

x

y

(–3, –1)^0

(0, 1) (3, 3)

y =^23 x + 1

• 1

x

y

0

x + y = 5

(0, 5) (2, 3)

(5, 0)

7. (a)A (b)C (c)D (d)B 9.x-intercept: ;
   y-intercept: 11.x-intercept: ; y-intercept:


8. ; 15. ; 17. ;


9. ; 21. ; 23. ;


10. ; none 27.none; 29. (a)D (b)C (c)B (d)A


11. 
    
    
    
    33. 
        
        
        
        35. 
            
        
        
        
        
    
    
    
    


12. 
    
    
    
    39. 
        
        
        
        41. x
            0 4
        
        
        
        
    
    
    
    

3

y

x y =–^34 x + 3

y

0

3 x + 7y = 14

2

14

3

x

y

0

y = 2x – 5–5

5

2

x

y

0

2 x + y = 6

6

3

x

y

0

x – y = 4

–4

x 4

y

0

x = y + 2

–2

2

1 4, 0 2 1 0, 2.5 2

1 2, 0 21 0, 4 2 1 6, 0 21 0, - 22 1 0, 0 21 0, 0 2

1 8, 0 21 0, - 82 1 4, 0 21 0, - 102 1 0, 0 21 0, 0 2

1 0, - 42 1 - 2, 0 2 1 0, - 32

1 4, 0 2

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