Beginning Algebra, 11th Edition

Section 4.5 (pages 284–285)

1.C 3.B 5. 7.

9. 
   
   
   
   11. 
       
       
       
       13. 
           
       
       
       
       
   
   
   
   


10. 
    
    
    
    17. 
        
        
        
        19. 
            
        
        
        
        
    
    
    
    


11. 
    
    
    
    23. 
        
    
    
    
    

25.D 27.A 29. 64 31. 625 33.

Chapter 4 Review Exercises (pages 288–291)

1.yes 2.no 3. 4. 5.

6. 7.It would be easiest to solve for xin the
   second equation because its coefficient is. No fractions would be
   involved. 8.The true statement is an indication that the system
   has an infinite number of solutions. Write the solution set using set-builder
   notation and the equation of the system that is in standard form with
   integer coefficients having greatest common factor 1. 9.


7. 
   
   
   
   11. 
       
       
       
       12. 13.C
       
       
       
       
   
   
   
   


8. (a) 2 (b) 9 15. 16.


9. 
   
   
   
   18. 
       
       
       
       19. 
           
       
       
       
       
   
   
   
   


10. 
    
    
    
    21. 
        
        
        
        22. 
            
        
        
        
        
    
    
    
    


11. 
    
    
    
    24. 25.Pizza Hut: 14,759 locations;
        Domino’s: 8641 locations 26.Reader’s Digest:9.3 million;
        People:3.6 million 27.length: 27 m; width: 18 m 28.twenties: 13;
        tens: 7 29.25 lb of $1.30 candy; 75 lb of $0.90 candy
        30.40% solution: 60 L; 70% solution: 30 L 31.$7000 at 3%;
        $11,000 at 4% 32.plane: 250 mph; wind: 20 mph
    
    
    
    


12. 
    
    
    
    34. 
        
        
        
        35. 
            
        
        
        
        
    
    
    
    


13. 
    
    
    
    37. (a)years 0 to 6 (b)year 6; about $650
        38.In System B, the bottom equation is already
        solved for y. 39.B 40.
    
    
    38. 51 x, y 2 |x-y= 66 42. 51 2, 0 26
    
    
    
    

51 4, 8 26

x

y

0

2

–2

–3

1

3 x – y ≤ 3

x ≥ –1

y ≤ 2

x

y

0

3

3

x + y < 3

2 x > y

x

y

0

(^23)
y ≥ 2 x
2 x + 3y ≤ 6
x
y
024
2
x + y ≥≥ 2
x – y ≤≤ 4
51 2, 1 26 51 - 3, 2 26
51 x, y 2 | 2 x- 3 y= 06 51 9, 2 26 51 8, 9 26
51 x, y 2 | 3 x- 4 y= 96 0 51 - 4, 1 26
51 7, 1 26 51 - 4, 3 26
51 3, 5 26 51 6, 4 26 51 x, y 2 |x+ 3 y= 66
51 2, 1 26
0 = 0

• 1

51 x, y 2 |x- 2 y= 26

51 3, 1 26 51 0, - 226 0

8

27

x

y

0

4

2

3 x – 2y ≥ 6

x + y ≤ 4

x ≥ 0

x y^ ≥ –4

y

–4 0

–2

4 x + 5y < 8

y > –2

x > –4

x

y

–4x – 3 (^0) y–2 ≤ 6 6
x ≥ –4
x
y
0
5
–3
–3x + y ≥ 1
6 x – 2y ≥ –10
x
y
0 3
x ≤ 2 y + 3
x + y < 0
x
y
–2^4
2
4 x + 3y < 6
x 3 – 2y > 4
2
x
y
02
–5
y ≤ 2 x – 5
x x < 3y + 2
y
2
–5
0 3
2 x + 3y < 6
x – y < 5
x
y
0
4
5
4 x + 5y ≥ 20
x – 2y ≤ 5
x
y
–1
1
6
0 6
x + y ≤ 6
x – y ≥ 1

43. 
    
    
    
    44. 
        
        
        
        45. 
            
        
        
        
        
    
    
    
    

46.8 in., 8 in., 13 in. 47.Statue of Liberty: 3.4 million; National

World War II Memorial: 4.1 million 48.slower car: 38 mph;

faster car: 68 mph

Chapter 4 Test (pages 291–292)

[4.1]1. (a)no (b)no (c)yes 2. [4.2]3.

4. [4.3]5. 6. 7.


5. 
   
   
   
   9. [4.1–4.3]10.
   
   
   
   


6. [4.4]12.Memphis and Atlanta: 394 mi;
   Minneapolis and Houston: 1176 mi 13.Magic Kingdom: 17.1 million;
   Disneyland: 14.7 million 14.25% solution: L; 40% solution: L
   15.slower car: 45 mph; faster car: 60 mph
   [4.5]16. 17. 18.B

Chapters 1–4 Cumulative Review Exercises

(pages 292–293)

[1.6]1. , , , , ,

2. 46 [1.3]3. 1 [1.7]4.distributive property [2.3]5.


3. [2.5]7. [2.8]8. 9.
   [2.6]10.2010; 1813; 62.8%; 57.2% [2.4]11.in favor: 68; against: 31
   [2.5]12. , ,
   [3.2]13. 14.

[3.3]15. 16. [3.4]17. 18.

19. (a) (b) [4.1–4.3]20.


20. 
    
    
    
    22. [4.4]23.405 adults tickets; 49 child tickets
        24.20% solution: 4 L; 50% solution: 8 L
        [4.5]25.
    
    
    
    

EXPONENTS AND POLYNOMIALS

Section 5.1 (pages 301–303)

1.false; 3.false; 5.

7. 
   
   
   
   9. 
      
      
      
      11. 13.In , is the base; in ,
          3 is the base. 1 - 324 = 81 ; - 34 =- 81. 15.base: 3; exponent: 5; 243
      
      
      
      
   
   
   
   

A 21 B^61 -^4241 -^7 y^241 -^324 -^3 -^34

33 = 3 # 3 # 3 = 27 1 x^223 =x^2 #^3 =x^6 w^6

5

x + 2y ≤ 12

2 x – y ≤ 8

0

6

y

4 x

51 3, - 426 0

x= 9 y=- 1 51 - 1, 6 26

-^43 - 41 y=^12 x+ 3 y= 2 x+ 1

x

y

0

6

2

3 x + y = 6

x – y = 4

0

y

4 x

–4

46°46°88°

T= 1 - 18, q (^2) A-^112 , qB
PV
E k
9
11 F
E-^1311 F

• 1 1, -2, 2-4, 4, -5, 5-8, 8, - 10 10, -20, 20-40, 40

x

y

0

–4 3

–3

–6

2 x – y > 6

4 y + 12 ≥ –3x

x

y

2

0

7

2 x + 7y ≤ 14

x – y ≥ 1

(^33 1316 23)
51 - 15, 6 26
0 51 0, 0 26 51 x, y 2 | 3 x+ 4 y= 56
51 - 35, 35 26 51 5, 6 26 51 - 1, 3 26 51 - 1, 3 26
51 4, 1 26 51 1, - 626
x
y
0
2
4
y ≤≤ 2 x
x + 2y > 4
x
y
0 5
2
5
–2
x + y < 5
x – y ≥≥ 2
51 4, 1 26
Answers to Selected Exercises A-11