Multiple Choice
Identify the
letter of the choice that best completes the statement or answers the question.


1.

Which
graph is the most appropriate to describe a quantity decreasing at a steady rate?


2.

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       


3.

A
function is ________ a relation. a.  always  b.  sometimes  c.  never       


4.

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.     


5.

An
equation of the form , where a, b, and c do not equal
zero, is ________ a direct variation. a.  sometimes  b.  always  c.  never       


6.

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?


7.

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?


8.

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}     


9.

Evaluate for x =
3.


10.

Evaluate for x =
4.


11.

Evaluate for x =
–3.


12.

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 1mile
ride?
b. What is the charge for a 2.7mile ride? a.  $2.20;
$2.54  b.  $2.00;
$2.20  c.  $0.20;
$5.60  d.  $0.20;
$0.54         



Graph the function.


13.



14.



15.




Write a function rule for the table.


16.



17.



18.

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.


19.

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     


20.

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     



Find the constant of variation k for the direct variation.


21.



22.



23.

a.  k = –1.5  b.  k = 2  c.  k = –0.5  d.  k = –2         


24.

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.


25.

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.


26.

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.         



Use inductive reasoning to describe the pattern. Then find the next two numbers in
the pattern.


27.

–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   


28.

–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   



Find the common difference of the arithmetic sequence.


29.

9,
13, 17, 21, . . .


30.

5,
5.3, 5.6, 5.9, . . .


31.



32.

The
common difference in an arithmetic sequence is ________ a positive number. a.  sometimes  b.  always  c.  never       



Find the first, fourth, and tenth terms of the arithmetic sequence described by the
given rule.


33.

a.  12, 24, 42  b.  0, 9, 27  c.  3, 24, 27  d.  12, 21, 39         


34.



35.

a.  –3, –11.8, –25  c.  –3, –9.6, –22.8  b.  0, –6.6,
–19.8  d.  –2.2,
–11.8, –19.8     
