Mixed Review (10/27/15)
Name:
Date:
1.
Paulie's pizza is considering expanding into the pizza truck business. They calculate that the costs of a pizza
truck will be $1,420 per month. If they sell pizzas for $12 each, how many will they have to sell in a month to
make a pro t of at least $3,400?
2.
The table shows total number of cars rented everyday for a week from Golden State Rentals, What is the
estimated average increase in car rentals per day for Tuesday through Friday?
Golden State Car Rentals
Day
M
Total cars 41
Tu
W
109 158
Th
199
F
Sa
Su
262 313
352
3.
Draw a graph of the values that satisfy 4x + 5 > 17.
4.
To rent a boat, Heather must pay an hourly rate plus a deposit. Heather created a table to gure out how much
she must pay.
Hours
Cost
1
$45
2
$67
3
$89
4
$111
If the hourly rate is constant, how much is the deposit?
page 1
5.
To celebrate the end of the season, the lacrosse team decide to go bowling. The bowling alley has three pricing
options. All options include shoe rental.
Regular: $11 per person per game.
Lane Rental: $42 per game for a lane. Up to 4 people per lane.
Party Package: $300 for up to 16 people, 2 games. $25 for each additional person.
a) Write an equation for each option that relates total price (P) to the number of people who bowl (b). Assume
the lacrosse team will play 2 games.
Regular:
Lane Rental:
Party Package:
b) On the same graph, show the three options. Label each option with its equation.
c) If the coach expects the whole team to come, 38 players, which option should she buy? How much will she
spend?
d) 27 lacrosse players show up to the bowling alley. Is the option the coach purchased in the previous part still
the cheapest? Explain.
6.
This table represents a function:
x
y
3
1
3
1
2
7
3
9
Which of these equations respresents the same function?
A.
y =x
B.
y =x +2
C.
page 2
y = 2x + 3
D.
y = 3x + 2
Mixed Review (10/27/15)
7.
R.B. Hayes Junior College held a two-week-long blood drive on the weekdays. Use the table to nd the estimated
average increase in pints per day for the second week.
Blood Drive
8.
Day
M
Tu
W
Th
F
M
Tu
W
Total pints
23 36 54
65
71
86 108 121
Th
F
137
163
Kelly met Jesse and Liza at The Maxx for breakfast. The graph shows Kelly's speed during her 12 minute drive.
What was her average acceleration during the time period 9:05 to 9:09? Round to the nearest whole number.
9.
A microbiologist is studying a bacterial culture. Every hour she counts the number of bacteria. Her data is
recorded in the table. What is the average increase between 11 am and 3 pm? Round to the nearest integer.
Time
9 am
Number of
bacteria
111
10 am
215
11 am
402
12 pm
773
1 pm
1456
2 pm
2782
3 pm
5267
4 pm
10028
page 3
Mixed Review (10/27/15)
10.
Tisha has been saving up to hear her favorite group in concert. Her ticket for the concert will cost $42 and
t-shirts will be sold for $14 each. There are several people she promised to buy t-shirts. If she is able to save
up $85 for the concert, what is the most number of t-shirts she will be able to buy?
11.
To cater a dinner, Anthony charges a at fee plus an additional charge for each meal he must prepare. The chart
below shows Anthony's total fees for catering various dinners.
Number
of Meals
10
Total
fee
$120
20
$190
40
$330
100
$750
Based on the table, how much does Anthony charge for each meal?
12.
Solve:
9 + 3c = 5c + 7
page 4
Mixed Review (10/27/15)
13.
Yen takes her Pomeranian, Kiwii, to the dog park. Once inside the fence, Kiwii runs across the
10 seconds. His path is shown on the graph below.
eld in
What is his average velocity over the interval 4 to 8 seconds?
14.
Mrs. Flanagan manages a hotel. One day, she received a certain number of cancellations. Then she received
reservations that were 13 more than 4 times the number of cancellations. There were 79 hotel reservations in all.
How many cancellations did Mrs. Flanagan receive?
page 5
Mixed Review (10/27/15)
15.
Tate is training for the 100 m dash. During his workout, he wears a digital monitor to track his velocity. The
results from one run are shown on the graph below.
What is his average acceleration over the interval 2 to 8 seconds?
16.
Solve: 7x
2(3x + 1) = 4x
(3
x)
19
17.
The cost of renting a car is described by the function f (x) = 30x + 25 in which f (x) is the total cost and x is the
number of days. If Stephanie has $150 to spend, what is the maximum number of days that she can rent a car
is tax is not considered?
18.
Solve:
19.
Solve for n.
2(x + 2) > 3(x + 2)
3(5n
7) = 5(8n + 11)
page 6
Mixed Review (10/27/15)
20.
A tunnel crew is digging at most 30 feet per hour. They have dug 170 feet. Which inequality shows how many
additional hours, h, they will need to complete 1,000 feet of tunnel?
A.
30h + 170
1;000
B.
30h + 170
1;000
C.
30h
170
1;000
D.
30h + 2(170)
1;000
21.
The cost of renting a game at the video store can be described by the function f (x) = 5x + 4, where f (x) is the
total cost and x is the number of days. If Justin has $18 to spend, what is the maximum number of days that he
can rent a game if tax is not considered?
22.
Eleanor is conducing an experiment. She starts with 5 samples of lemonade at di erent temperatures. Then, she
recorded how long it took each sample to freeze solid. The graph shows her results.
What is the average rate of change for the the experiment? Round to the nearest whole number.
23.
An air conditioner is switched on at 1:00 pm. By 3:30 pm, the room temperature had dropped from 82 F to 72 F.
Find the average rate of change in the temperature of this room over this period.
page 7
Mixed Review (10/27/15)
24.
A school club sells candy bars for a fundraiser. If the club makes a pro t of 25¢ on each candy bar and spends
$25 on advertising, how many candy bars must be sold to make a pro t of at least $100?
25.
Write a function to describe the relationship of the values in the table. Explain how you arrived at your answer.
x
y
9
3
6
2
3
1
0
0
3
1
page 8
Mixed Review (10/27/15)
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Mixed Review (10/27/15)
10/26/2015
1.
Answer:
Objective:
165 pizzas
7.EE.4B
14.
Answer:
Objective:
2.
Answer:
Objective:
51
F.IF.6
15.
Answer:
Objective:
m/s2
F.IF.6
3.
Answer:
Objective:
[picture]
7.EE.4B
16.
Answer:
Objective:
5
8.EE.7B
4.
Answer:
Objective:
$22
8.F.4
17.
Answer:
Objective:
4
A.CED.3
18.
Answer:
Objective:
x< 2
7.EE.4B
19.
Answer:
Objective:
3.04
8.EE.7B
20.
Answer:
Objective:
B
7.EE.4B
21.
Answer:
Objective:
2
A.CED.3
22.
Answer:
Objective:
31 F/hour
F.IF.6
23.
Answer:
Objective:
4 F/hr
8.F.4
24.
Answer:
Objective:
500 candy bars
7.EE.4B
25.
Answer:
Objective:
[function]
8.F.4
5.
Answer:
Objective:
6.
Answer:
Objective:
7.
Answer:
Objective:
8.
Answer:
Objective:
9.
Answer:
Objective:
10.
Answer:
Objective:
11.
Answer:
Objective:
P = 22b, P = 84b
, P = 300 + 25(b 16);
4
[graph]; Regular, $836; No. $575 for
Party Package vs $594 for Regular
A.CED.3
C
8.F.4
19
F.IF.6
360 km/h2
F.IF.6
1216 bacteria per hour
F.IF.6
3 t-shirts
7.EE.4B
$7
8.F.4
12.
Answer:
Objective:
8
8.EE.7B
13.
Answer:
Objective:
2 m/s
F.IF.6
22
8.EE.7B
5
6