Multiple Choice
Identify the choice that best completes the statement or answers the question.
Identify the choice that best completes the statement or answers the question.
1.
What is the next number in this sequence?
n | an |
1 | 1.2 |
2 | 6.0 |
3 | 10.8 |
4 | 15.6 |
5 | 20.4 |
6 | ? |
a. | 23.2 | c. | 30 |
b. | 17.8 | d. | 25.2 |
2.
The students in a theatrical design class are designing a set for an upcoming
show. The structure is shown in the picture below.
How many boxes will be required to make a 8-layer set if the pattern is continued?
How many boxes will be required to make a 8-layer set if the pattern is continued?
a. | 80 | c. | 36 |
b. | 8 | d. | 15 |
3.
The students in a theatrical design class are designing a set for an upcoming
show. The structure is shown in the picture below.
If layer one has one triangle
and
layer two contains three triangles 
, how many triangles will be required to make a 6-layer set
if the pattern is continued?
If layer one has one triangle
and
layer two contains three triangles , how many triangles will be required to make a 6-layer set
if the pattern is continued?a. | 8 | c. | 60 |
b. | 6 | d. | 36 |
The table below shows the cost of making a long distance call based on the
length of the call.
Long Distance
Rates | |
Time (minutes) | Cost |
5 | $0.45 |
6 | $0.52 |
7 | $0.59 |
8 | $0.66 |
9 | $0.73 |
10 | $0.80 |
4.
Refer to the above table of long distance rates. How much would a long distance
call that lasts 15 minutes cost?
a. | $1.05 | c. | $1.15 |
b. | $1.39 | d. | $1.22 |
5.
The population of a town over the past several decades is shown in the table. If
the trend in the data continues, what will the population be in the year 2010?
Youngstown Census
Data | |
Year | Population |
1970 | 20,000 |
1980 | 32,000 |
1990 | 51,200 |
2000 | 81,920 |
a. | 157,286 | c. | 111,572 |
b. | 190,054 | d. | 131,072 |
6.
Nancy has been practicing in preparation to try out for her school’s
basketball team. The average number of jump shots she has taken each day over the past several weeks
is shown in the table. If the pattern in the table continues, how many jump shots will Nancy likely
shoot on a day during the fifth week of training?
Nancy’s Practice
Routine | |
Training Week | Average Number of Jump
Shots |
1 | 40 |
2 | 47 |
3 | 54 |
4 | 61 |
a. | 68 jump shots | c. | 63 jump shots |
b. | 71 jump shots | d. | 75 jump shots |
7.
Linda’s car holds 12 gallons of gasoline in the tank. When she drives
on the highway, she uses about 2.1 gallons each hour. If Linda begins with a full tank of gas on
a long highway trip to visit her brother, write an equation that can be used to calculate how much
gas (g) is in the tank after h hours of driving.
a. |  | c. |  |
b. |  | d. |  |
8.
A home theater company charges $55 per hour for installing equipment in
customers’ homes. They also charge for the equipment purchased, plus 18% over the cost of the
equipment. In addition to this, a sales tax of 7% is charged on the total cost of the equipment to
the customer, but not on the service fees. Write an expression that could be used to find the total
cost of having a home theater installed. Let h represent the number of hours spent on the
installation, and let c represent the cost of the equipment to the company.
a. | 55h + 1.07(1.18c) | c. | 55h + (1.07+1.18)c |
b. | 1.07[55h + (1.18c)] | d. | (55 + 18)h + 7c |
9.
A tugboat has a top speed of s kilometers per hour in still water.
Suppose it takes the tugboat 1.5 hours to travel a distance of 33 kilometers while heading
downstream with a current that is flowing at a rate of c kilometers per hour. Write an
equation to model this situation.
a. | 33 = (s – c)1.5 | c. | 1.5 = (s – c)33 |
b. | 33 = (s + c)1.5 | d. | 1.5 = (s + c)33 |
10.
Gary works part time assembling computer desks for an office supplies store. The
store purchases the desks for $68, and Gary is paid $9.50 per hour to assemble them. Each computer
desk is then sold to customers for a cost of $130. The profit earned by the store can be found using
the equation P = (130 – 68)d – 9.50h.
In the equation, d is the number of computer desks built and h is the number of hours
Gary spent assembling them. If Gary gets a raise of $0.35 per hour, how will this equation
change?
a. | P = (130 – 68)d – 9.90h | c. | P = (130 – 68)d – 9.85h |
b. | P = (130 – 68)d – 9.85h – 0.35 | d. | P = (130 – 68)d – 9.85(h +0.35) |
11.
A school is purchasing copies of The Return of the Native, by Thomas
Hardy for its English classes. Each copy costs the school $6.99. If the school pays a $25.00 flat
shipping fee, the order cost, C, is represented by the equation below.
If the school spends $751.96 on the order, how many books, b, did they purchase?
If the school spends $751.96 on the order, how many books, b, did they purchase?
a. | 5,081 | c. | 5,430 |
b. | 111 | d. | 104 |
12.
The equation 
gives the height, in feet, of a toy rocket t seconds
after it was launched up into the air. How long will it take for the rocket to return to the ground?
Solve the quadratic equation 
by factoring to solve the problem.
gives the height, in feet, of a toy rocket t seconds
after it was launched up into the air. How long will it take for the rocket to return to the ground?
Solve the quadratic equation by factoring to solve the problem.a. | 9 seconds | c. | 10 seconds |
b. | 11.5 seconds | d. | 12 seconds |
Numeric Response
13.
What is the fifth term in the series 2,304, 2,300, 2,296, 2,292, . . . ?
14.
What is the next number in the sequence?
n | an |
1 | 0.006 |
2 | 0.012 |
3 | 0.024 |
4 | 0.048 |
5 | 0.096 |
6 | ? |
15.
A school is purchasing new athletic uniforms for the basketball team. Each
uniform costs the school $50.00. The school pays a $80.00 flat shipping fee. If the school spends
$830.00 on the order, how many uniforms, did they purchase?
16.
Carlos purchased a satellite dish and receiver for $75 from an electronics
retailer. The monthly rate for satellite television service is $45. At the end of 9 months, how
much total money, in dollars, will Carlos have spent on his satellite television service.
Satellite Television Costs |
 |
17.
Bethany’s long distance company charges her a fixed monthly fee of $6.95
plus $0.07 per minute of service usage. If her bill last month was $18.15, how many minutes of long
distance service did Bethany use?
The local carnival sells ride tickets for a flat fee of $7, plus $1 per ticket.
A student usually spends $21 at the carnival.
18.
Refer to the information above. If the charge per ticket is reduced to $0.75,
how much would the student spend, in dollars, at the carnival compared to the old ticket
price? Round your answer to the nearest cent.
Short Answer
19.
Kevin has 23 dimes and quarters in his piggy bank. If the value of these coins
is $4.55, how many dimes and quarters does he have? Set up and solve a system of equations to solve
the problem. Show your work.
20.
Jeremy bought x pounds of peanuts for $4.50 per pound and y pounds
of cashews for $7.05 per pound at the store for a retirement party. The total bill was $43.65 for 8
pounds of nuts.
Part A Write a system of two equations that could be used to find the number of pounds of peanuts and the number of pounds of cashews bought.
Part B Solve the system. How many pounds of each nut did Jeremy buy?
Part A Write a system of two equations that could be used to find the number of pounds of peanuts and the number of pounds of cashews bought.
Part B Solve the system. How many pounds of each nut did Jeremy buy?
