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Beginning Algebra, 11th Edition

(Marvins-Underground-K-12) #1

Section 1.5 (pages 44–48)


1.negative 3.negative



  1. ; ; 2 7.positive 9.negative 11. 13. 15. 2

  2. 19.8.9 21. 12 23. 5 25. 2 27. 29. 0 31.









          1. 0 43. 45.















        1. 9 55. 57. 4 59.







  5. or 63. 65.11.6 67. 69. 10



    1. 11 75. 77. 22 79. 81.































    1. ; 103.



















    1. (a)7.4% (b)Americans spent more money than
      they earned, which means they had to dip into savings or increase borrowing.
      117.$3173 119. 17 121.$1045.55 123.$323.83
      125.30.4 billion dollars 127.3.1 billion dollars 129.50,395 ft
      131.1345 ft 133.136 ft




Section 1.6 (pages 56–59)


1.greater than 0 3.less than 0 5.greater than 0 7.equal to 0
9.undefined ; 0; Examples include which is undefined, and which
equals 0. 11. 13. 30 15. 120 17. 19. 0 21.







      1. 6 29. , , , , , , 1, 2, 4, 8,
        16, 32 31. , , , , , , , , 1, 2, 4, 5, 8, 10,
        20, 40 33. , , 1, 31 35. 3 37. 39. 8 41.









      1. 0 49.undefined 51. 53.





  3. 35 57. 13 59. 61. 6 63. 65. 67 67.

  4. 3 71. 7 73. 4 75. 77. 4 79. 81. 47 83. 72



    1. 0 89. 91. 2 93.



























    1. ; 113.









        1. 4







  11. 2 125. (a)6 is divisible by 2. (b)9 is not divisible by 2.

  12. (a)64 is divisible by 4. (b)35 is not divisible by 4.

  13. (a)2 is divisible by 2 and
    is divisible by 3. (b)Although 0 is divisible by 2,
    is not divisible by 3.

  14. (a) is divisible by 9.
    (b) is not divisible by 9.


Summary Exercises on Operations with
Real Numbers (pages 59–60)





    1. 4 3. 0 4. 5. 6. 76 7. 8. 90



  2. 38 10. 4 11.- 5 12. 5 13.-^72 , or - 3 12 14. 4 15. 13

    • 16 - 24 - 17 - 18




2 + 2 + 8 + 7 + 3 + 2 + 1 = 25

4 + 1 + 1 + 4 + 1 + 0 + 7 = 18

2 + 8 + 7 + 3 + 5 + 9 + 0 = 34


1 + 5 + 2 + 4 + 8 + 2 + 2 = 24

x- 6 =4; 10 x+ 5 =-5; - 10 8 52

x

3 =-3; -^9

9

16

-^12 A^34 B
-^23
A^12 +^58 BA^35 -^13 B; 103


(^2338) - 1 - 124 ; 6 0.20 1 - 5 # 62 ; - 6
15 + 1 - 32
41 - 32 ; -^1



  • 12
    1239 - 1 - 824 ; 204 - 5 + 1 - 12 ; 2

  • 4 - 21 - 12162 ; 8 1 1.5 21 - 3.2 2 - 9; -13.8
    -^7825 - 23 9 + 1 - 92122 ; - 9

  • 1 - 3

  • 22 - 18 - 8


(^323) , or 10 32 - 4 - 11 - 2



  • 31 - 1 - 7 - 6

  • 40 - 20 - 10 - 8 - 5 - 4 - 2 - 1


125 - 61 -^32 -^16 -^8 -^4 -^2 -^1


  • 30 - 33 - 2.38


0

1 ,

1

0 ,


  • 184 m


38 - 1 - 524 - 12; 1 - 12 - 56°F -69°F

4 - 1 - 82 ; 12 - 2 - 8 - 10 39 + 1 - 424 - 7; - 2

3 - 4 + 1 - 1024 +12; - (^2) C 75 +A-^97 BD+^27 ; - 72



  • 5 + 12 +6; 13 3 - 19 + 1 - 424 +14; - 9
    -^14 , or -0.25 - 6 - 12 - 5.90617

  • 5 - 10 - 2 -^178 , or - 2 81
    -^118 , - 183 158 , or 1 78 - 9.9


3


  • 4 - 8 - 14 - (^44)


-^1924 - 43 - 7.7 - 8 - 20 - 3


1



  • 2 - (^92)




  • 8 - 6 - 8 - 12




A-2 Answers to Selected Exercises





    1. 9 18. 19. 0 20. 25 21. 14
      22.undefined 23. 24. 25. 26.





    1. 29.3.33 30.1.02 31. 32. 0



  3. 24 34. 35. 37 36. 37. 38. 39.

  4. 5 41. 42. 4


Section 1.7 (pages 67–69)


  1. (a)B (b)F (c)C (d)I (e)B (f )D, F (g)B (h)A
    (i)G (j)H 3.yes 5.no 7.no 9.(foreign sales) clerk; foreign
    (sales clerk) 11. ; commutative property 13.3; commutative
    property 15.6; associative property 17.7; associative property
    19.Subtraction is not associative. 21.row 1: , row 2: 10,
    row 3: ; row 4: row 5: , row 6: y, opposite;
    the same 23.commutative property 25.associative property
    27.associative property 29.inverse property 31.inverse property
    33.identity property 35.commutative property 37.distributive
    property 39.identity property 41.distributive property

  2. 150 45. 2010 47. 400 49. 1400 51. 470



    1. 11 57. 0 59. 61. 1 63.The expression
      following the first equals symbol should be



  4. 85 67. 69. 71. 73.




































Section 1.8 (pages 72–74)

1.B 3.C 5. 7. 9.






      1. 3 17. 1 19. 21. 23.





  2. 10 27.like 29.unlike 31.like 33.unlike 35.The
    student made a sign error when applying the distributive property:
    , which simplifies to

  3. 13 y 39. 41. 13 b



















  5. 23 x 55. 57. 59. 61.









































  10. (dollars) 88. (dollars)

  11. (dollars) 90. (dollars)


Chapter 1 Review Exercises (pages 79–83)








        1. 5.about 1270 thousand
          6.about 5079 thousand 7. 625 8. 9.0.0004 10.0.001







  2. 27 12. 17 13. 4 14. 399 15. 39 16. 5 17.true 18.true
    19.false 20. 21. 22. 23. 30

  3. 60 25. 14 26. 13 27. 28. 29.

  4. 12 + 53 x 31.yes 32.no 33. 2 x- 6 =10; 8 34. 4 x=8; 2


x+ 6 8 - x 6 x- 9

2

3 Ú

4

13617 5 + 2 Z (^106)
27
125
59
16 , or 3^
11
16
11
24
7
2 , or 3^
1
2
3
4
1000 + 5 x+ 750 + 3 y 1750 + 5 x+ 3 y
1000 + 5 x 750 + 3 y
113 + 6 x 2 - 1 - 7 x 2 ; 13 + 13 x 213 x+ 42 - 1 - 4 + 6 x 2 ; 12



  • 23.7y-12.6 1 x+ 32 + 5 x; 6x+ 3


4 r+ 15 12 k- 5 - 2 k- 3 4 x- 7

5 x+ 15 - 4 y+ 22 - 23 y+ 16 - 16 y+ 63


  • 31 t-^2839 y^2 - 14 p^3 + 5 p^28 x+ 15


7 k+ 15 - 4 y 2 x+ 6 14 - 7 m - 17 +x

7 x- 6 + 4 x, or 11 x- 6. - 9 x

7 x- 213 - 2 x 2 means 7x- 2132 - 21 - 2 x 2

2

5

1

2 - 3 x - 12 - (^12)
4 r+ 11 5 + 2 x- 6 y - 7 + 3 p



  • 4 t- 3 m 5 c+ 4 d q- 5 r+ 8 s


24 r+ 32 s- 40 y - 24 x- 9 y- 12 z 51 x+ 32


  • 5 y+ 20 - 16 y- 20 z 81 z+w 2 712 v+ 5 r 2


4 t+ 12 7 z- 56 - 8 r- 24 - 2 x- 43


  • 314 - 62 means - 3142 - 31 - 62 , which simplifies to - 12 +18, or 6.

    • 3142 - 31 - 62.



  • 9300 - 0.38


21 ,-^2 -^38 , 38 ; -xx^1 ; -^1 y^ ;


  • 515 ; - 101 ;

  • 15

  • 278

  • 7 - 3 - 1 21 - 135


1617 , or 1^161 - 32 -^13

52

37 , or 1^

15

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