Unit 12 Study Guide

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    11. Use the diagram to help you solve the problems.

    a. c 2 gal

    b. 22 qt gal qt

    c. 10 c qt c

    d. 15 pt qt pt

    e. 3 qt c

    =

    =

    =

    =

    =

    12. Calculate the volume of each rectangular prism.

    a.

    2 cm

    3 cm9 cm

    b.

    3 m4 m

    8 m

    13. Solve the open sentence.

    642123 123230. .+ = d

    14. Find the solution of each open sentence.

    26 69 12 15. .= + x

    15. Solve the open sentence.

    94 658 92 801. . = d

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    16. Solve.m =26 6 271. .

    17. Write the set of fractions in order from smallest to largest.

    1

    14

    4

    14

    2

    14

    7

    14

    9

    14, , , ,

    Order the fractions from smallest to largest.

    18.1

    6

    3

    4

    14

    24

    12

    19

    5

    8, , , ,

    19. 3

    9

    4

    32

    9

    11

    5

    7

    2

    14, , , ,

    20. 28

    1326

    510

    26

    1133

    , , , ,

    21.3

    18

    9

    81

    4

    16

    1

    5

    15

    45, , , ,

    22. There are three schools in Somertown. Each school has 239 students. A friend estimates there are 1,200

    students at all three schools. Is this reasonable? Explain.

    23. Katie is buying a package of erasers at a store. The store sells packages of 23 erasers for $2.30 and 28 erasersfor $1.96. Which package offers the better buy? Explain.

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    24. Use the sign below to solve the problem. Explain how you found your answer.

    30 cents each6 for $1.60

    $3.20 a dozen

    Joey goes to Doreens Delicious Doughnuts to buy doughnuts for the class party. What is the least amount of

    money he will have to pay for 50 doughnuts? Explain.

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    [1]

    _____ miles;

    Hours

    3

    5

    Miles

    295

    [2]

    [3]

    a. $__________

    b. $__________

    [4]

    [5]

    [6]

    [7]

    [8]

    [9]

    [10]

    [11]

    [12]

    a. Volume = cm

    b. Volume = m

    3

    3

    [13]

    [14] Solution:

    [15]

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    [16]

    [17]

    [18] smallest

    largest

    [19] smallest

    largest

    [20] smallest

    largest

    [21] smallest

    largest

    [22]

    Explanation:

    [23]

    Answer: __________

    Explanation:

    [24]

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    [1]177 miles;

    Hours 3

    Miles

    1 2 4 5

    59 118 177 236 295

    [2] $15.00

    [3]

    a. $ .1600 per hour

    b. $ .24000 per week

    [4] 1 and 12, 2 and 6, 3 and 4

    [5] 1, 2, 4, 7, 14, and 28

    [6] 1, 2, 4, 8, 16, and 32

    [7] 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84

    [8] 1, 2, 3, 6, 11, 22, 33, and 66

    [9] >

    [10] 12 0 09 0 01 0 001 13 2 3. . . . . ., , , , ,

    [11]

    a. 32 c

    b. 5 gal 2 qtc. 2 qt 2cd. 7 qt 1 pt

    e. 12 c

    [12]

    a. Volume = cm

    b. Volume = m

    3

    3

    54

    96

    [13] 765.353

    [14] Solution: 14.54

    [15] 1.857

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    [16] 53.7

    [17]

    7

    14

    1

    14

    2

    14

    4

    14

    9

    14, , ,,

    [18]

    3

    4

    12

    19

    1

    6

    14

    24

    5

    8

    , , , ,

    [19]

    3

    9

    4

    32

    2

    14

    5

    7

    9

    11, , , ,

    [20]

    5

    10

    11

    33

    2

    8

    2

    6

    13

    26, , , ,

    [21] 4

    16981

    318

    15

    1545

    , , , ,

    [22] No. Explanation: 239 is about 200, and 200 3 600* = . 1,200 is twice as much as 600.

    [23]The package of 28 erasers; Sample answer: The package of 23 erasers costs 10 per eraser, and the package o28 erasers costs 7 per eraser.

    [24]

    $13.40; Sample answer: If Joey buys four dozen at $3.20 per dozen and 2 for 30 cents each, the total cost wil

    be 4 320 30 1340 + =$ . $ . .b g 2 cents