Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Which of these numbers is a solution of  ? i) -5
ii)
–1
iii) -4
iv) 3 a. | i and ii | b. | ii and iv | c. | i and iv | d. | i and
iii |
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2.
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Which of these numbers is a solution of  ? i) 5
ii) -2
iii) -5
iv) -6 a. | i and iv | b. | iii and iv | c. | ii and iii | d. | i and
ii |
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3.
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Which of these graphs is a solution of  ? a. | Graph i | b. | Graph iv | c. | Graph ii | d. | Graph
iii |
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4.
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Which of these graphs is a solution of  ? a. | Graph ii | b. | Graph i | c. | Graph iii | d. | Graph
iv |
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5.
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Which of these numbers is a solution of the inequality  ? 7, -7, –6, –8 a. | 7, –6, –8 | b. | -7, –6, –8 | c. | 7, -7, –6 | d. | 7, –6 |
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6.
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Which of these numbers is a solution of the inequality  ? 2.4, 2.1,
1.4, 3.5 a. | 2.1, 1.4 | b. | 1.4, 3.5 | c. | 2.1, 3.5 | d. | 2.4, 2.1,
1.4 |
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7.
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Solve: 
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8.
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Solve: 
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9.
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Which of these graphs represent the solution of the inequality  ? a. | Graph iii | b. | Graph iv | c. | Graph ii | d. | Graph
i |
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10.
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An equipment rental company charges a flat rate of $24, plus $14 per day for
insurance. Kyle has $155.
Write an inequality to represent the number of days, d, for
which he can rent equipment.
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Short Answer
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11.
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Define a variable and write an inequality to describe the situation.
You must
be less than 149 cm tall to go on the ride.
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12.
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Write an inequality whose solution is graphed on the number line. 
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13.
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Which of these numbers is a solution of  ? -4.5, -2.7, -4.1, -2.3, 3.5
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14.
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Which operation will you perform on each side of the inequality to isolate the
variable? 
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15.
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Claire has $18. She wants to buy a book and a magazine. The book costs $13.28.
How much can Claire spend on a magazine? a) Choose a variable, then write an inequality
that can be used to solve this problem.
b) Solve the
problem.
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16.
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State whether you would reverse the inequality sign to solve each
inequality.
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17.
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Solve  . Graph the solution. 
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18.
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Solve: 
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19.
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When 3 times a number is subtracted from 15, the result is less than 9.
Write
and solve an inequality to determine the number.
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20.
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A games room charges a $13 entrance fee, plus $2.35 per hour of play time.
Anne-Marie has $29.45. For how long can she play in the games room? a) Choose a variable and write an inequality
for this problem.
b) Solve the inequality.
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Problem
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21.
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a) Write the
inequalities whose solutions are graphed on this number line.  b) Write 3 points that are solutions to both
inequalities.
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22.
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Match each inequality with the graph of its solution below. For the graph
that does not have a match, write the inequality represented by the graph.
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23.
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Determine two values of y that do not satisfy these inequalities.  
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24.
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A charity is selling books for $7 and magazines for $5. Achmed has $50 to spend
on books and magazines. a) Write an
inequality to represent the number of books and magazines Achmed can
buy.
b) Determine the maximum number of books he can buy if he buys
3 magazines.
c) Determine the maximum number of magazines he can buy
if he buys 3 books.
Show your work.
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25.
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a) Solve this
inequality:  b) Verify the solution by
substituting three different numbers in the inequality.
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