7th Grade Math

Selected Answers and Solutions R7

Selected Answers and Solutions

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gives her _^12 cup more fl our than she needs. Filling

the _ 32 -measuring cup once gives her _ 31 cup less fl our

than she needs. Filling the _^34 -measuring cup once

gives her _^14 cup less fl our than she needs. Since

_^1

4 <^

_^1

3 <^

(^1)
2 , fi lling the
^3
4 -measuring cup once will
bring Felicia closest to having the amount of fl our
she needs. 49. H 51. ^45 53.^2 3 55. _^47

57. 1 59. < 61. = 63. Vijay; Sample answer:
    _^3 ×^7
    8 × 7 =^

(^21)
56 ;
^4 ×^8
7 × 8 =^
^32
56 ; Since 32 > 21,
^32
56 >^
_^21
56.
Pages 154–156 Lesson 3-2D

1. 9 6 7 3. 4 ^23
   55 2 ^54 -^1 ^34 =^1 ^24
   = 1 1 2


2. 4 58 9. 3 203 gallons 11. 7 75 13. 2 ^17
   1515 11 43 -^4 ^13 =^11 129 -^4 124 Rename using the LCD, 12. Then subtract.
   = 7 _ 125


3. 18 2417 19. 3 12 21. 2 2011 23. 5 87 25. 7 _ 61


4. 17 ^78 in.; Addition, since the necklace is 10 ^58 in.
   longer than the bracelet. 29. 3 ^14 in.; Subtraction,
   since cutting her hair makes it shorter. 31. 15 ^14


5. 1 ^34
   3535 Find the sum of the sides.
   2 83 + 2 ^38 + 2 38 = 6 89 or 7 ^18 yd


6. 5 21 - 3 ^78 = 1 ^58 39. Sample answer: Since the
   garden is a rectangle, the length of one side added
   to the length of the other side would equal half the
   length of the perimeter. If one side of the garden
   is 2 125 ft long, fi nd 6 ft - 2 125 ft, or 3 127 ft. 41. H


7. 109 45. ^4663 47. _^34 ft

Pages 163–165 Lesson 3-3B

1.^29 3. 32 5. 1 21 7. 32 pounds 9. 154
11. - 4 ^45 13. 91 15. 201
1717 52 ×^ 1615 =^ 52 × × 1615
1 3
= 52 × ^1516 Divide 2 and 16 by their GCF, 8, and
1 8 divide 5 and 15 by their GCF, 5.
= ^11 × ×^38 Multiply.
= ^38
19. - 32 21. 163 23. 14 c 25. 30 27. 50 29. 161
31. - 278 33. 7 20 ^1 mi 35. 218 37. 4811 39. one pint
41. one centimeter 43. 15 ^34 45. 28 _^34

4747 Alano needs to fi nd 1 _^12 times the amount of

each ingredient.

Broccoli: 1 _ 21 × 1 _ 41 = _ 23 × _^54

= _^32 × ×^54

= _^158

= 1 _^78 c

Cooked pasta: 1 _ 21 × 3 _ 43 = _ 23 × _^154

= _^458

= 5 _^58 c

Salad dressing: 1 _ 21 × _^23 = _ 23 × _^23

= _^32 × ×^23

= _^66 or 1 c

Cheese: 1^12 _ × 1 _ 31 = _ 23 × _^43

= _^32 × ×^43

= _^126 or 2 c

49. Never; Sample answer: improper fractions are
    always greater than 1, so their product will be
    greater than 1. 51. Sample answer: Addition
    requires common denominators for completion,
    whereas multiplication does not. Multiplication can
    utilize cancelling. 53. H 55a. ^58 mi 55b. ^1316 mi


50. 
    

    
    

    
    

Pages 166–167 Lesson 3-3C

1. 2 10 _ 27 foot
   33 Draw a model of the full trip. Since the
   denominator is 5, divide it into 5 equal parts.

They have covered _^45 of trip, so color in 4 sections.

Since they have traveled one mile, each colored

section is _^14 mile. Therefore, they have _^14 mile more

remaining.

5. 403 ; Sample answer: ^15 · 83 = 403 7. 28 games


6. Mary, Isabela, Anna, Rachana 11. Sample
   answer: There are 4 books in the front window of
   a bookstore. How many different ways can you
   arrange the books in the front window?; 24 ways.

Pages 170–173 Lesson 3-3D

1. 83 3. 3 ^12

R01_R42_EM_SelAns_895130.indd R7 1/18/10 9:50 AM