Selected Answers and Solutions R5

Selected Answers and Solutions

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5. Sample answer: 3 quarters, 2 nickels, and 1 penny


6. 13 toothpicks 9. Each term is found by adding
   the two previous terms. The next two terms would
   be 34 + 55 or 89 and 55 + 89 or 144.

Pages 106–108 Lesson 2-3C

1. 
   
   
   
   • 60 3. - 28 5. 45 7. 64 9. - 12
   
   
   
   


2. 100(-3) = -300; Tamera’s investment is now
   worth $300 less than it was before the price of the
   stock dropped.
   1313 (-1)(7)(-10)
   (-7)(-10)
   70


3. 
   
   
   
   • 220 17. - 70 19. - 50 21. 80 23. - 125
   
   
   
   


4. 81 27. 6 29. 24
   3131 5(-650); -3,250; Ethan burns 3,250 calories
   each week.


5. 
   
   
   
   • 84 35. - 160 37. - 108
     3939 Replace a with -6 and b with -4.
   
   
   
   

• 2 a + b = - 2(-6) + (-4)
  = 12 + (-4)
  = 8

41. 5 black T-shirts 43a. Sample answer: Evaluate

• 7 + 7 fi rst. Since - 7 + 7 = 0, and any number
  times 0 is 0, the value of the expression is 0.
  43b. Sample answer: First use the Distributive
  Property to rewrite the expression as -15(- 26 + 25).
  Then evaluate - 26 + 25. Since - 26 + 25 = -1 and


• 15 × - 1 = 15, the value of the expression is 15.

45. Sample answer: The product of three integers is
    positive when exactly two of the integers are
    negative or when all three integers are positive.


46. 64 49a. 419 points 49b. 47 points 51. - 19


47. 
    
    
    
    • 4
    
    
    
    

Pages 111–113 Lesson 2-3D

1. 
   
   
   
   • 4 3. - 6 5. 5
     77 15 ÷ y =^15 ÷ (-5) Replace y with -5.
   
   
   
   

(^) = - 3 Divide. The quotient is
negative.

9. -48.3°C 11. - 7 13. - 9 15. 10 17. - 7


10. 
    
    
    
    • 9 21. The integers have the same sign. The
      quotient is positive. So, _--^546 = 9. 23. 5 25. - 12
    
    
    
    


11. 
    
    
    
    • 
      

      3 29. 2 31. - 1 33. -10°F 35. 8 37. 1
      3939 mean

      
      

       - 70 + (-40) + (-25) + (-50) + (-80)

      
      

      ___ 5
      = -^2655
      = -53 ft

      
      
    
    
    
    


12. 
    
    
    
    • 32 ÷ (-4) has a positive quotient; the others
      have negative quotients. 43. First evaluate each 2^2
      since they are powers. Rewrite the expression as
    
    
    
    

• 2 · (4 + 2) ÷ 4. Then add the 4 + 2 in the
  parentheses. Rewrite the expression as - 2 · 6 ÷ 4.
  Next, multiply and then divide since multiplication
  and division occur in order from left to right. Since
  
  
  • 2 · 6 = -12 and - 12 ÷ 4 = -3, the value of the
    expression is -3. 45. B 47. 60 49. 81 51. 18
    Pages 116–119 Chapter Study Guide and Review
  
  
  
  
  
  
  1. false; negative 3. false; opposite 5. false;
     y-coordinate 7. true 9. false; positive 11. 350
  
  
  2. 
     
     
     
     • 48 15. 32 17. 33
       19–22. y
     
     
     
     
  
  
  
  

O x

)(-2, - 3 ) '(1, - 4 )

((-4, 2)

*(4, 0)

23. (-4, 1) 25. - 13 27. 0 29. - 15 31. 0


24. 600 lb 35. - 3 37. 4 39. - 5 41. - 1


25. 2,980 ft 45. $46,400 47. - 12 49. 35 51. 28


26. 
    
    
    
    • 35 55. 5 57. - 2
    
    
    
    

Chapter 3 Rational Numbers

Page 126 Chapter 3 Are You Ready?

1. ^34 3. 10047 5. _ 207


2. 
   

   0123456

   
   


3. 
   

   0123456

   
   


4. 0.57 13. 0.94 15. 0.72
   Pages 131–132 Lesson 3-1B


5. 0.4 3. 7.5
   55 Divide 1 by 8.
   0.125
   8  1.000
   8
   20
   16
   40
   40
   0
   So, _^18 is 0.125.


6. 
   
   
   
   0. − 5 9. - ^1150 11. 4 53 13. 0.8 15. -4.16 17. 0.3125
   
   
   
   


7. -0.66 21. 5.875 23. -0. − 4 25. -0.1 − 6 27. 5. − 3


8. 
   
   
   
   • 51 31. ^1120 33. 5 ^2425
     3535 30.5 =^30 + 0.5
     = 30 + 105
     = 30 + ^12 = 30 ^12
   
   
   
   


9. ^223 41. -^16 5 43. Sample answer: _^35


10. Sample answer: 3 ^17 ≈ 3.14286 and 3 ^1071 ≈ 3.14085;
    Since 3.1415926... is between 3 ^17 and 3 ^1071 ,
    Archimedes was correct. 47. I 49. G

R01_R42_EM_SelAns_895130.indd R5 1/18/10 9:50 AM