Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1
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Solve  . A. | p = 22 | C. | p = 10 | B. | p = –22 | D. | p =
–10 |
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2
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Solve –14 + s = 32.
A. | s = –18 | C. | s = –46 | B. | s = 46 | D. | s = 18 |
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3
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A toy company's total payment for salaries for the first two months of 2005
is $21,894. Write and solve an equation to find the salaries for the second month if the first
month’s salaries are $10,205.
A. | 
The salaries for the second month are
$32,099. | B. | 
The salaries for the second month are
$10,947. | C. | 
The salaries for the second month are
$11,689. | D. | 
The salaries for the second month are
$21,894. |
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4
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Solve  . A. | m =  | C. | m = 55 | B. | m =
336 | D. | m =
41 |
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5
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Solve  .
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6
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If  , find the value of  .
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7
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Solve  . A. | a = 15 | C. | a = –15 | B. | a = 29 | D. | a =
–29 |
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8
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Solve  .
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9
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If 8y – 8 = 24, find the value of 2y.
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10
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The formula  gives the profit p when a number of
items n are each sold at a cost c and expenses e are subtracted. If  ,  , and  , what is the
value of c?
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11
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Solve  .
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12
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Solve  .
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13
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Solve  . Tell whether the equation has infinitely
many solutions or no solutions. A. | No solutions | C. | Only one solution | B. | Infinitely many solutions | D. | Two solutions |
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14
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A professional cyclist is training for the Tour de France. What was his average
speed in miles per hour if he rode the 120 miles from Laval to Blois in 4.7 hours? Use the formula
 , and round your answer to the nearest
tenth. A. | 25.5 mph | C. | 70.4 mph | B. | 564.0 mph | D. | 115.3 mph |
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15
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The formula for the resistance of a conductor with voltage V and current
I is  . Solve for V. A. | I = Vr | C. | V = Ir | B. |  | D. |  |
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16
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Solve  . A. | x = 0 | C. | x = –6 or x = –8 | B. | x =
–6 | D. | x =
0 or x = –14 |
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17
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Solve  . A. | No solution | C. | x =  | B. | x =  | D. | x =  |
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18
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The fuel for a chain saw is a mix of oil and gasoline. The ratio of ounces of
oil to gallons of gasoline is 8:10. There are 50 gallons of gasoline. How many ounces of oil are
there?
A. | 62.5 ounces | C. | 40 ounces | B. | 1.6 ounces | D. | 46 ounces |
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19
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Ramon drives his car 150 miles in 3 hours. Find the unit rate.
A. | Ramon drives 30 miles per hour. | B. | Ramon drives 50 miles per
hour. | C. | Ramon drives 1 mile per 50 hours. | D. | Ramon drives 150 miles per 3
hours. |
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20
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Alicia runs for exercise. If Alicia runs 30 miles in six days, how many feet
does she run per day?
A. | 26,400 ft | C. | 158,400 ft | B. | 8,800 ft | D. | 22,629 ft |
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21
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When Amy roller-skates, she moves 110 yards per minute. What is her speed in
miles per hour? Round your answer to the nearest hundredth.
A. | 1.25 mi/hr | C. | 0.42 mi/hr | B. | 3.75 mi/hr | D. | 3226.67 mi/hr |
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22
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Evan’s car gets approximately 20 miles per gallon. How many feet can he
drive with 1 pint of gas?
A. | 4,400 ft | C. | 26,400 ft | B. | 13,150 ft | D. | 13,200 ft |
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23
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Giovanni can read 250 words per minute. If there are approximately 400 words on
a page, about how many pages can he read in 2 hours?
A. | 833 pages | C. | 75 pages | B. | 38 pages | D. | 150 pages |
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24
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Derek’s Great Dane puppy is growing quickly. He gains an average of 40
ounces per week. At this rate, about how many pounds will he gain in 1 year?
A. | 173 lb | C. | 130 lb | B. | 240 lb | D. | 120 lb |
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25
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Solve the proportion  . A. | x = 36 | C. | x = 35 | B. | x = 50.4 | D. | x = 0.02 |
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26
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Solve the proportion  . A. | x = 15 | C. | x = 126 | B. | x = 33.8 | D. | x = 14 |
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27
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Find the value of MN if  cm, 
cm, and  cm.
ABCD 
LMNO
 A. | 23.8 cm | C. | 12.6 cm | B. | 22.4 cm | D. | 22.8 cm |
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28
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On a sunny day, a 5-foot red kangaroo casts a shadow that is 7 feet long. The
shadow of a nearby eucalyptus tree is 35 feet long. Write and solve a proportion to find the height
of the tree.
A. |  ; 25 feet | B. |  ;
175 feet | C. |  ; 245 feet | D. |  ;
49 feet |
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29
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Find 55% of 125.
A. | 70.25 | C. | 68.75 | B. | 227.27 | D. | 6875 |
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30
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What percent of 74 is 481? If necessary, round your answer to the nearest tenth
of a percent.
A. | 6.5% | C. | 650% | B. | 15.38% | D. | 550% |
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31
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66 is 56% of what number? If necessary, round your answer to the nearest
hundredth.
A. | 117.86 | C. | 36.96 | B. | 1.18 | D. | 0.85 |
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32
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According to the United States Census Bureau, the United States population was
projected to be 293,655,404 people on July 1, 2004. The two most populous states were California,
with a population of 35,893,799, and Texas, with a population of 22,490,022. About what percent of
the United States population lived in California or Texas? Round your answer to the nearest
percent.
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33
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Aaron works part time as a salesperson for an electronics store. He earns $6.75
per hour plus a percent commission on all of his sales. Last week Aaron worked 17 hours and earned a
gross income of $290.63. Find Aaron’s percent commission if his total sales for the week were
$3,350. If necessary, round your answer to the nearest hundredth of a percent.
A. | 0.05% | C. | 1.03% | B. | 6% | D. | 5.25% |
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34
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Hidemi is a waiter. He waits on a table of 4 whose bill comes to $69.98. If
Hidemi receives a 20% tip, approximately how much will he receive?
A. | $84.00 | C. | $3.50 | B. | $14.00 | D. | $13.55 |
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35
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Find the result when 28 is decreased by 25%.
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36
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Describe the solutions of  in words. A. | The value of y is a number greater than 4. | B. | The value of
y is a number equal to 3 | C. | The value of y is a number less than or
equal to 3. | D. | The value of y is a number less than 4. |
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37
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Graph the inequality m <
–3.4.
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38
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Write the inequality shown by the graph.  A. | m > –3 | C. | m ³ –3 | B. | m <
–3 | D. | m £ –3 |
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39
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To join the school swim team, swimmers must be able to swim at least 500 yards
without stopping. Let n represent the number of yards a swimmer can swim without stopping.
Write an inequality describing which values of n will result in a swimmer making the team.
Graph the solution.
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40
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Solve the inequality n + 6 < –1.5 and
graph the solutions.
A. | n < –7.5
 | B. | n < –7.5
 | C. | n < 4.5
 | D. | n < 4.5
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41
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Solve the inequality 2f ³ –8 and
graph the solutions.
A. | f ³ 4
 | B. | f £ 4
 | C. | f ³ –4
 | D. | f £ –4
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42
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Marco’s Drama class is performing a play. He wants to buy as many tickets
as he can afford. If tickets cost $2.50 each and he has $14.75 to spend, how many tickets can he
buy?
A. | 4 tickets | C. | 5 tickets | B. | 6 tickets | D. | 0 tickets |
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43
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What is the greatest possible integer solution of the inequality  ?
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44
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Solve the inequality z + 8  z £ –4 and graph the solutions. A. | z £ –3
 | B. | z £ 1
 | C. | z ³ 1
 | D. | z ³ –3
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45
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Mrs. Williams is deciding between two field trips for her class. The Science
Center charges $135 plus $3 per student. The Dino Discovery Museum simply charges $6 per
student. For how many students will the Science Center charge less than the Dino Discovery
Museum?
A. | More than 45 students | C. | 132 or more students | B. | Fewer than 45 students | D. | 132 or fewer
students |
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46
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Solve the inequality  . A. | no solutions | C. | {all real numbers} | B. | z £  | D. | z £  |
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47
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Solve and graph the solutions of the compound inequality  .
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48
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Solve and graph the compound inequality.  OR 
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49
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Write the compound inequality shown by the graph. 
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50
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Jamie throws a ball up into the air. Sketch a graph for the situation that
describes the distance of the ball from the ground at every second since it was thrown up. Tell
whether the graph is continuous or discrete.
A. | 
The graph is continuous. | C. | 
The graph is continuous. | B. | 
The graph is
continuous. | D. | 
The graph is continuous. |
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51
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Write a possible situation for the graph.  A. | A pool is filled with water, and people are having fun swimming and jumping in and
out of the pool. | B. | A pool is filled with water using one valve.
Then, immediately after the pool is filled to its capacity, the pool needs to be emptied because of
some problems. The pool is refilled right after it is completely empty, using two valves this time.
| C. | A pool is filled with water. A little time after the pool is filled to its capacity,
the pool needs to be emptied because of some problems. Then, the pool is refilled immediately at the
same rate as before. | D. | A pool is filled with water using one valve. A
little time after the pool is filled to its capacity, the pool needs to be emptied because of some
problems. Then, the pool is refilled immediately, using two valves this time.
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52
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Give the domain and range of the relation.
A. | D: {–5, 4, 6}; R: {–9, 9, 13} | C. | D: {4, 6, –5, 9, 13,
–9}; R: {0} | B. | D: {–5, 0, 4, 6}; R: {–9, 0, 9,
13} | D. | D: {–9, 0, 9,
13}; R: {–5, 0, 4, 6} |
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53
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Give the domain and range of the relation.  A. | D: 2 £ x £ 6;
R: 4 £ y £ 7 | C. | D: 1 £ x £ 7; R: 1 £ y £ 6 | B. | D: 1 £ x £ 6; R: 1 £ y £ 7 | D. | D: 0 £ x
£ 7; R: 1 £ y £ 7 |
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54
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Give the domain and range of the relation. Tell whether the relation is a
function. 
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55
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Identify the independent and dependent variables in the situation.
The
amount of electricity used for air conditioning in homes increases as the temperature
increases.
A. | Independent: amount of electricity used; Dependent: temperature | B. | Independent:
temperature; Dependent: amount of electricity used |
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56
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Identify the independent and dependent variables in the situation.
As
Kyoko works more hours, her total pay increases.
A. | Independent: hours worked; Dependent: total pay | B. | Independent: total
pay; Dependent: hours worked |
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57
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For  , find  when
x = 4 .
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58
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Graph the function  .
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59
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Graph the function  .
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60
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The temperature of air in a room that began at  F is
increasing by  F per hour. Write a function that describes
the temperature of the air over time. Graph the function to show the temperatures over the first 10
hours.
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61
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Graph a scatter plot using the given data. x | 3 | 6 | 5 | 2 | 7 | 4 | 8 | 1 | y | 4.5 | 6.5 | 6.5 | 3.5 | 6.5 | 4.5 | 8 | 4 | | | | | | | | | |
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62
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Find the 20th term in the arithmetic sequence –4, 1, 6, 11,
16,...
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63
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Identify each graph as being a non-linear function, linear function, or not a
function.
Graph A
Graph B
Graph CA. | Graph A: non-linear function
Graph B: not a function
Graph C: not a
function | C. | Graph A: non-linear function
Graph B: linear function
Graph C: linear
function | B. | Graph A: non-linear function
Graph B: linear function
Graph C: not a
function | D. | Graph A: not a
function
Graph B: not a function
Graph C: linear function |
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64
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Tell whether the function  is linear. If so, graph the
function. A. |  | C. |  | B. |  | D. | Not a linear
function. |
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65
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Find the x- and y-intercepts.  A. | x-intercept: 5, y-intercept: 10 | C. | x-intercept: –10,
y-intercept: 5 | B. | x-intercept: 10, y-intercept:
5 | D. | x-intercept: 10,
y-intercept: –5 |
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66
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Find the x- and y-intercepts of  . A. | x-intercept:  , y-intercept: 
| C. | x-intercept: –8, y-intercept: 
| B. | x-intercept: –8, y-intercept: 4 | D. | x-intercept:  ,
y-intercept: 4 |
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67
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Find the slope of the line. 
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68
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Tell whether the slope of the line is positive, negative, zero, or
undefined.  A. | undefined | C. | zero | B. | positive | D. | negative |
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69
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Find the slope of the line described by x – 3y =
–6.
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70
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Tell whether the equation  represents a direct
variation. If so, identify the constant of variation. A. | Direct variation, k =  | C. | Direct variation,
k = –2 | B. | Direct variation; k =  | D. | Not a direct
variation. |
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71
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Graph the line with the slope  and y-intercept
–2.
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72
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Write the equation that describes the line with slope = 
and y-intercept =  in slope-intercept form.
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73
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Write the equation that describes the line in slope-intercept form. 
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74
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Write the equation that describes the line in slope-intercept form.
slope =
4, point (3, –2) is on the line
A. | y = 4x – 14 | C. | y = 4x +
14 | B. | y = 4x – 2 | D. | y = 4x +
10 |
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75
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Write an equation in point-slope form for the line that has a slope of  and contains the point (–8, –7). A. | y + 8 =  (x + 7) | C. | y – 7 =  (x – 8) | B. | x – 8 =  (y
– 7) | D. | y + 7 =
 (x + 8) |
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76
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Write an equation in slope-intercept form of the line with slope 
that contains the point (1, 2).
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77
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Write an equation in slope-intercept form for the line that passes through (3,
7) and (7, 4).
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78
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The points (1,  ) and (  ,  ) are on a line. Find the x- and y-intercepts. A. | x-intercept:  , y-intercept: 8 | C. | x-intercept:
4, y-intercept: 8 | B. | x-intercept: 4, y-intercept:  | D. | x-intercept:  , y-intercept:  |
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79
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A. | All four lines are parallel. | C. | Lines 1 and 4 are
parallel. | B. | Lines 1 and 2 are parallel. | D. | Lines 2 and 3 are parallel. |
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80
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Identify the lines that are perpendicular:  ;  ;  ; 
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81
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Write an equation in slope-intercept form for the line parallel to y =
 x – 2 that passes through the
point (8, –2).
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82
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Solve the system  by graphing.
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83
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Solve  by using substitution. Express your answer as
an ordered pair. A. | ( , –3) | C. | ( ,  ) | B. | ( , 1) | D. | (  ,  ) |
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84
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Solve  by using substitution. Express your answer as
an ordered pair. A. | (–2, 4) | C. | (4, 8) | B. | (4, –8) | D. | (8, –4) |
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85
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Janice is going on vacation and needs to leave her dog at a kennel.
Nguyen’s Kennel charges $15 per day plus $20 for a processing fee. The Pup Palace Kennel
charges $12 per day, and has a $35 processing fee. After how many days is the Pup Palace Kennel
cheaper than Nguyen’s Kennel?
A. | The Pup Palace Kennel is never cheaper than Nguyen’s
Kennel. | B. | The Pup Palace Kennel is cheaper than Nguyen’s Kennel after 5
days. | C. | The Pup Palace Kennel is cheaper than Nguyen’s Kennel after 15
days. | D. | The Pup Palace Kennel is always cheaper than Nguyen’s
Kennel. |
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86
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Solve  by using elimination. Express your answer as
an ordered pair. A. | (–2, 0) | C. | (0, –2) | B. | (–8, –6) | D. | (–2,
–3) |
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87
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Solve  by using elimination. Express your answer as
an ordered pair. A. | (5, 0) | C. | (5, 17.5) | B. | (5, 22.5) | D. | (5, 0) |
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88
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Solve  by using elimination. Express your answer as
an ordered pair. A. | (4, 3) | C. | (3, 2) | B. | (3, 4) | D. | ( ,  ) |
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89
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Solve  .
A. | This system has no solutions. | B. | ( ,  ) | C. | ( ,  ) | D. | This system has
infinitely many solutions. |
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90
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Solve  . A. | This system has no solution. | B. | This system has exactly one
solution. | C. | This system has infinitely many solutions. | D. | (1, 1) and (0,
0) |
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91
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Classify  . Give the number of solutions. A. | This system is consistent. It has one solution. | B. | This system is
inconsistent. It has infinitely many solutions. | C. | This system is inconsistent. It has no
solutions. | D. | This system is consistent. It has infinitely many
solutions. |
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92
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Tell whether (8, 5) is a solution of  . A. | No, (8, 5) is not a solution of  . | B. | Yes, (8, 5) is a
solution of  . |
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93
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Tell whether (5, 6) is a solution of  . A. | No, (5, 6) is not a solution of  . | B. | Yes, (5, 6) is a
solution of  . |
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94
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Graph the solutions of the linear inequality  .
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95
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Write an inequality to represent the graph.  A. | y < 2x + 3 | C. | y £ 2x + 3 | B. | y <
3x + 2 | D. | y > 2x + 3 |
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96
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Tell whether (2, 7) is a solution of  . A. | No, (2, 7) is not a solution of the system. | B. | Yes, (2, 7) is a
solution of the system. |
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97
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Graph the system of linear inequalities  . Give two
ordered pairs that are solutions and two that are not solutions. A. | (0, 0) and ( 4,  5) are solutions.
(2, 2)
and (10, 1) are not solutions.
 | C. | (1,  2) and ( 6, 0) are solutions.
(1, 5) and (0, 0) are not solutions.
 | B. | (5,  6) and (0, 0) are solutions.
(1, 1) and (2,
0) are not solutions.
 | D. | (2, 2) and (0, 10) are solutions.
(0, 0) and
( 5,  1) are not
solutions.
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