Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Which graph is the most appropriate to describe a quantity decreasing at a
steady rate?
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2.
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Lena makes home deliveries of groceries for a supermarket. Her only stops after
she leaves the supermarket are at traffic lights and the homes where she makes the deliveries. The
graph shows her distance from the store on her first trip for the day. What is the greatest possible
number of stops she made at traffic lights? 
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3.
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The graph below shows how the cost of gasoline changes over one month. According
to the graph, the cost of gasoline ________ decreases.  a. | always | b. | sometimes | c. | never |
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4.
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A plane that carries mail makes a round trip each day from Chicago to New York.
It makes 3 intermediate stops on the way to New York and 1 intermediate stop on the way back to
Chicago. Suppose you make a graph of the altitude of the plane for one day, with time on the
horizontal axis and altitude on the vertical axis. How many times will the graph touch the horizontal
axis?
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5.
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Find the domain and range of the relation. | Age of Person | Books Read | | 65 | 42 | | 36 | 37 | | 29 | 37 | | 29 | 17 | | |
a. | domain: {29, 29, 36}
range: {17, 37, 42} | c. | domain: {29, 36, 65}
range: {37,
37, 42} | b. | domain: {29, 29, 36}
range: {37, 37, 42} | d. | domain: {29, 36, 65}
range: {17, 37,
42} |
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6.
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A function is ________ a relation.
a. | always | b. | sometimes | c. | never |
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7.
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Identify the mapping diagram that represents the relation and determine whether
the relation is a function.  a. | 
The relation is not a function. | c. | 
The
relation is a function. | b. | 
The relation is a
function.
| d. | 
The relation is not a function. |
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8.
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Identify the mapping diagram that represents the relation and determine whether
the relation is a function.  a. | 
The relation is a function. | c. | 
The
relation is not a function | b. | 
The relation is a
function. | d. | 
The
relation is not a function. |
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9.
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Evaluate  for x = 3.
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10.
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Evaluate  for x = 4.
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11.
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Evaluate  for x = –3.
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12.
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A taxi company charges passengers $2.00 for a ride, no matter how long the ride
is, and an additional $0.20 for each mile traveled. The rule  describes the
relationship between the number of miles m and the total cost of the ride
c. a. What is the charge for a 1-mile ride? b. What is the charge for a
2.7-mile ride? a. | $2.20; $2.54 | b. | $2.00; $2.20 | c. | $0.20; $5.60 | d. | $0.20;
$0.54 |
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Graph the function.
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13.
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14.
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15.
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16.
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17.
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Write a function rule for the table.
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18.
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19.
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20.
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The length of a field in yards is a function f(n) of the length
n in feet. Write a function rule for this situation.
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21.
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Write a function rule that gives the total cost c(p) of p
pounds of sugar if each pound costs $.59.
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22.
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A snail travels at a rate of 2.37 feet per minute.
a. Write a rule to
describe the function.
b. How far will the snail travel in 6 minutes?
a. |  ; 14.22 ft | c. |  ; 8.37
ft | b. |  ; 14.22 ft | d. |  ; 2.53
ft |
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23.
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Crystal earns $5.50 per hour mowing lawns. a. Write a rule to describe how the amount of money m earned
is a function of the number of hours h spent mowing lawns.
b. How much does Crystal
earn if she works 3 hours and 45 minutes? a. |  ; $61.50 | c. |  ;
$18.98 | b. |  ; $0.68 | d. |  ; $20.63 |
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24.
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A zucchini plant in Darnell’s garden was 10 centimeters tall when it was
first planted. Since then, it has grown approximately 0.5 centimeters per day.
a. Write a
rule to describe the function.
b. After how many days will the zucchini plant be 0.185
meters tall?
a. |  ; 17 days | c. |  ; 4
days | b. |  ; 1.1 days | d. |  ; 37
days |
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Find the constant of variation k for the direct variation.
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25.
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26.
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27.
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a. | k = –1.5 | b. | k = 2 | c. | k =
–0.5 | d. | k = –2 |
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28.
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Write an equation of the direct variation that includes the point (9,
–12).
a. | y =  x | b. | y =  x | c. | y =  x | d. | y =  x |
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29.
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An equation of the form  , where a, b, and c
do not equal zero, is ________ a direct variation. a. | sometimes | b. | always | c. | never |
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30.
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The total cost of gasoline varies directly with the number of gallons purchased.
Gas costs $1.89 per gallon. Write a direct variation to model the total cost c for g
gallons of gas.
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31.
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The amount of a person’s paycheck p varies directly with the number
of hours worked t. For 16 hours of work, the paycheck is $124.00. Write an equation for the
relationship between hours of work and pay.
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32.
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The distance a spring will stretch varies directly with how much weight is
attached to the spring. If a spring stretches 9 inches with 100 pounds attached, how far will it
stretch with 90 pounds attached? Round to the nearest tenth of an inch.
a. | 8.9 in. | b. | 10 in. | c. | 8.1 in. | d. | 9.1
in. |
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Use inductive reasoning to describe the pattern. Then find the next two
numbers in the pattern.
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33.
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–9, –4, 1, 6, . . .
a. | add 5 to the previous term; 11, 16 | b. | multiply the previous term by 5; 30,
150 | c. | subtract 5 from the previous term; 1, –4 | d. | multiply the
previous term by 5; 11, 150 |
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34.
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–5, –10, –20, –40, . . .
a. | multiply the previous term by 2; –80, –160 | b. | add –5 to the
previous term; –35, –30 | c. | subtract 5 from the previous term; –80,
–160 | d. | multiply the previous term by –2; 80,
–160 |
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Find the common difference of the arithmetic sequence.
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35.
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9, 13, 17, 21, . . .
a. | 4 | b. |  | c. |  | d. | 22 |
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36.
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5, 5.3, 5.6, 5.9, . . .
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37.
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38.
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The common difference in an arithmetic sequence is ________ a positive
number.
a. | sometimes | b. | always | c. | never |
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Find the first, fourth, and tenth terms of the arithmetic sequence described
by the given rule.
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39.
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a. | 12, 24, 42 | b. | 0, 9, 27 | c. | 3, 24, 27 | d. | 12, 21,
39 |
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40.
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41.
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a. | –3, –11.8, –25 | c. | –3, –9.6,
–22.8 | b. | 0, –6.6, –19.8 | d. | –2.2, –11.8, –19.8 |
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Short Answer
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42.
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Label each section of the graph. 
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43.
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Model the function rule  with a table of values and a graph. 
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44.
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Elaine is in the business of repairing home computers. She charges a base fee of
$45 for each visit and $25 per hour for her labor. The total cost c( x) for a home visit
and x hours of labor is modeled by the function rule  . Use the function rule
to make a table of values and a graph.
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45.
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An employee receives a weekly salary of $340 and a 6% commission on all
sales.
a. Write a rule to describe the function f(d) that gives weekly
earnings in terms of d dollars in sales.
b. Find the employee’s earnings for a
week with $660 total sales.
c. What were the employee’s total sales for a week in
which her earnings were $1300?
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For the data in the table, tell whether y varies directly with
x. If it does, write an equation for the direct variation.
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46.
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47.
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Is the equation a direct variation? If it is, find the constant of
variation.
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48.
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49.
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5x = y
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50.
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A biologist records the number of microbes growing in a culture at the times
listed in the table. If the microbes continue to multiply at this rate, how many will there be at 6
P.M. on the second day? | Time of Observation | Number of Microbes | | Day 1, 12:00 noon | 12,000 | | Day 1, 6:00 P.M. | 18,000 | | Day 2, 12:00 midnight | 27,000 | | Day 2, 6:00 A.M. | 40,500 | | |
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51.
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Find the range of  for the domain {–3, –2, –1, 1}.
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Use the vertical line test to determine whether the relation is a
function.
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52.
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53.
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Essay
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54.
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During a clothing store’s Bargain Days, the regular price for T-shirts is
discounted by $5. There is a state sales tax of 5%, and the $5 discount is applied before the sales
tax is calculated. a. Write an expression that shows the
regular price r of a T-shirt minus the $5 discount.
b. Write a rule for the function
p(r) that expresses the final price p of a T-shirt with the discount applied and
sales tax added.
c. How much would you pay during Bargain Days for a shirt regularly priced
at $15.50?
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55.
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A computer consultant is thinking of renting office space in a building that
charges $28 per square foot per month for office space. She estimates that electricity, telephone,
and supplies will cost $500 per month. a. Define variables
and write an equation that describes the consultant’s monthly office expenses.
b. Do
her monthly office expenses vary directly with the amount of office space she could
rent?
c. What is the greatest amount of space she can afford if she wants to spend no more
than $4000 a month on rent and other expenses? Show your work.
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56.
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Sketch a graph of the speed of a city bus on a daily route. Label each
section. A - bus pulls away from a stop and increases speed B - bus is at a constant speed
between stops C - bus is stopped D - bus increases speed after stopping 
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