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 
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Choose the inequality that best represents the situation.
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2.
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Tiffany’s scores on the first three of four 100-point tests were 92, 89,
and 95. What score does she need on her fourth test to ensure an average score of at least 93?
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3.
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One third of a number decreased by 4 is greater than 2.
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4.
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Four times the sum of a number and 3 is at least 28.
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5.
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Carmen earns $7.50 an hour, plus tips, as a waitress. Suppose she works 24 hours
in one week. How much money in tips must she receive to earn more than $250 that week?
a. | x > $60 | c. | x > $70 | b. | x > $20 | d. | x >
$120 |
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6.
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Ahmad is planning a trip to Hawaii. It will cost him $400 to fly there and $40
per night to stay in a motel. Ahmad wants to spend no more than $720 on airfare and lodging. How many
nights can he stay in Hawaii?
a. | 8 nights or less | c. | 9 nights or more | b. | 8 nights or more | d. | 9 nights or
less |
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7.
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Solve 6n  5n + 19. a. | {n | n  -19} | c. | {n | n  19} | b. | {n | n 
19} | d. | {n | n   } |
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8.
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Solve 4w - 6 > 6w - 20.
a. | {w | w < 7} | c. | {w | w < -7} | b. | {w | w <
2} | d. | {w | w <
-2} |
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9.
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Solve -14 > 5(2m - 3) - m.
a. | {m | m < 1} | c. | {m | m > 1} | b. | {m | m <  } | d. | {m | m >  } |
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10.
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Solve 8r - (5r + 4)  -31. a. | {r | r  -9} | c. | {r | r  9} | b. | {r | r 
-9} | d. | {r | r 
9} |
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11.
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The sum of two consecutive positive odd integers is at most 7. What is the
lesser integer?
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12.
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Which ordered pair is a solution of the inequality 5 - y  -3x? a. | (2, -1) | c. | (-3, -5) | b. | (-2, -1) | d. | (3, -5) |
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Short Answer
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13.
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Solve  and graph the solution.
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Write and solve an inequality for the situation.
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14.
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Jamal’s scores on the first three of four 100-point English papers were
86, 92, and 89. What score does he need on his fourth paper to ensure an average score of at least
90?
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15.
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The sum of twice a number and 12 is no less than 24.
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16.
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Three fourths of a number increased by 4 is at most 19.
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17.
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Nathan earns $6.50 an hour, plus tips, as a waiter in a restaurant. Suppose he
works 26 hours in a week. How much money in tips must he receive to earn at least $229?
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18.
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A car rental agency charges Yolanda $25.00 plus $0.10 per mile that the car is
driven. Yolanda wants to spend less than $35.00 on the car rental. How many miles can she drive the
rental car?
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