Multiple Choice
Identify the letter of the choice that
best completes the statement or answers the question.
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Answer the following questions by setting up problems using
variables.
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1.
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The
sum of Bill and Ted’s ages is 27 years. Bill is twice as old as Ted. How old is each
boy?
a. | Bill is 20, Ted
is 7.
| b. | Bill is 14, Ted
is 13.
| c. | Bill is 18, Ted is 9.
| d. | Bill is 15, Ted is 12.
| e. | Bill is 19, Ted is 8. | | |
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2.
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Frances has three times as much money as Jean. Robert has two dollars more than
5 times as much money as Jean. Together they have a total of $83. How much does each
have?
a. | Frances has $27,
Robert has $47 and Jean has $9.
| b. | Frances has $21, Robert has $52 and Jean has
$10.
| c. | Frances has $25,
Robert has $50 and Jean has $8.
| d. | Frances has $23, Robert has $48 and Jean has
$12.
| e. | Frances has $24,
Robert has $49 and Jean has $10. | | |
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3.
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Fred
is ten years younger than John. Two years ago, Fred was one-half of John’s age. How
old is each?
a. | John is 24, Fred
is 14.
| b. | John is 22, Fred
is 12.
| c. | John is 20, Fred
is 10.
| d. | John is 18, Fred
is 8.
| e. | John is 26, Fred
is 16. | | |
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4.
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The
sum of three consecutive numbers is 81. What are those numbers?
a. | 27, 28, 29
| b. | 25, 26, 27
| c. | 28, 29,
30
| d. | 29, 30,
31
| e. | 26, 27,
28 | | |
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5.
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8 more
than one-third of a number is three-fifths of that number. What is the
number?
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6.
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Jen
makes $200 more than three times Janice’s salary. Together they make $1800. How much
does each make?
a. | Jen = $1,500, Janice = $300
| b. | Jen = $1,200, Janice = $600
| c. | Jen = $1,400, Janice = $400
| d. | Jen = $1,000, Janice = $800
| e. | Jen = $1,350, Janice = $450 | | |
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7.
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Separate 100 into three parts, so that the second part is two less than one half the
first part, and the third part is 6 more than twice the second part. What are the three pieces
equal to?
a. | 50,30,
20
| b. | 40,18, 42
| c. | 36, 16,
48
| d. | 50, 23,
37
| e. | 32, 14, 56 | | |
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8.
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Eva
has $5 less than six times Steven’s amount of money. June has $7 more than four times
Steven’s amount of money and Will has $12 more than three times Steven’s money. If
they have a total of $70, how much does each have?
a. | Eva = $19, June = $25, Will = 22 and Steven =
$5
| b. | Eva = $16, June = $26, Will = 24 and Steven =
$4
| c. | Eva = $18, June = $22, Will = 25 and Steven =
$5
| d. | Eva = $19, June =
$23, Will = 24 and Steven = $4
| e. | Eva = $15, June =
$28, Will = 20 and Steven = $7
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