Multiple Choice
Identify the
letter of the choice that best completes the statement or answers the question.
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1.
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Solve. Check your answer.
2t + 12 =
23
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2.
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Solve.
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3.
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Solve.
5z + 8 + 6z = 40
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4.
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Solve.
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5.
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Group
the terms with variables on one side of the equal sign, and simplify.
6w
14 = 18w a. | 14 =
12w | c. | 14 =
24w | b. | 8w = 18 | d. | 14 = 12w | | | | |
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6.
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Solve.
5t + 17 = 27 + 8t
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7.
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Solve.
n
37 = n + 3
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8.
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An
amusement park has two types of season passes. Plan 1 costs a one-time fee of $129.00 for admission
plus $7.00 every trip for parking. Plan 2 costs a one-time fee of $50.00 for parking plus $22.00
every trip for admission. At about how many days are plan 1 and plan 2 equal in
value?
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9.
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Write
an inequality for the situation.
There are no less than 24 girls in the
house. a. | Number of girls
<
24 | c. | Number of girls
³
24 | b. | Number of girls
£
24 | d. | Number of girls
>
24 | | | | |
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10.
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Write
an inequality for the situation.
At least 23 paperclips are on the
bench. a. | Number of
paperclips ³ 23 | c. | Number of paperclips > 23 | b. | Number of paperclips £ 23 | d. | Number of paperclips < 23 | | | | |
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11.
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Graph
the inequality.
y < 1
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12.
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Graph
the compound inequality.
a £ 1.8 or a >
0.4
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13.
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Graph
the compound inequality.
2.8 < x < 0.2
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14.
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Solve. Then graph the solution set on a number line.
a
3 £
1.5 a. | a
£
4.5
| c. | a £ 1.5
| b. | a
£
1.5
| d. | a
£
4.5
| | | | |
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15.
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Solve. Check your answer.
t + 6
<
2.6 a. | t
<
3.4 | c. | t
>
8.6 | b. | t
<
8.6 | d. | t
>
3.4 | | | | |
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16.
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Solve.
a. | b
>
28.5 | c. | b
<
28.5 | b. | b < | d. | b
> | | | | |
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17.
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Solve. Check your answer.
6f
³
16 a. | f
³ | c. | f £ 96 | b. | f £ | d. | f
³
96 | | | | |
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18.
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Solve. Then graph the solution set on a number line.
+ 1.5 ³ 3 a. | x ³ 13.5
| c. | x ³ 4.5
| b. | x
³
13.5
| d. | x ³ 4.5
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19.
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The
21 members of a track team are trying to raise at least $2244.00 to cover the traveling cost for a
holiday tournament. If they have already raised $381.00, at least how much should each member still
raise, on average, to meet the goal? a. | At least $55,125.00 | c. | At least $125.00 | b. | At least
$39,123.00 | d. | At least
$88.71 | | | | |
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Short Answer
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20.
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A
roller-skating rink charges nonmembers $6 per day to use the rink plus $2.50 per day to rent skates.
Members of the rink pay an annual fee of $90 plus $1 per day to rent skates. How many days must both
a member and a nonmember use the rink in one year so that both pay the same amount?
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21.
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Olivia has saved $178.50 to spend on the 7 members of her family for the holidays.
Olivia wants to spend the same amount on each family member.
a. | At most, how much can she spend on any one
present? | | | | |
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22.
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Twenty less than eight times a number is seventy-six.
a. | Write an equation for the sentence. | b. | Solve the equation. | | |
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