Name _______________________________________ Date __________________ Class __________________
AZ Merit #4
SELECTED RESPONSE
Select the correct answer.
1. In the diagram below, F is the focus of
the parabola, line d is the directrix, and
QP  d. What is the relationship
between FP and QP?
Select all correct answers.
4. Which points are on the parabola with
focus (0, 4) and directrix y  4?
(8, 4)
(4, 1)
(0, 4)
(9, 12)
(0, 4)
(12, 9)
5. A parabola has focus (0, 2) and directrix
y  2.
a. Write the equation of the parabola.
________________________________________
b. Graph the parabola, the focus, and
the directrix below.
FP  QP
FP  QP
FP  QP
A relationship cannot be determined.
2. Which point is always on a parabola with
focus F(0, p) and directrix y  p?
(0, 0)
(0, p)
(p, 0)
(p, p)
3. Which focus and directrix correspond to a
1 2
parabola described by y =
x ?
16
Focus (0, 4) and directrix y  4
c. Use the graph from part b to find the
vertex of the parabola. Explain your
answer.
________________________________________
________________________________________
Focus (0, 4) and directrix y  4
Focus (0, 4) and directrix y  4
Focus (0, 4) and directrix y  4
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Algebra 2
Common Core Assessment Readiness
Name _______________________________________ Date __________________ Class __________________
SELECTED RESPONSE
Select the correct answer.
6. A probability model claims that
P(A)  0.82 and P(B)  0.18. Which result
is most unlikely if the model is correct?
Select all correct answers.
8. The spinner shown has 3 equal sections.
If you spin the spinner 90 times, which of
these outcomes are very unlikely?
A occurs 15 times, and B occurs
25 times in 40 trials.
A occurs 50 times, and B occurs
10 times in 60 trials.
A occurs 70 times, and B occurs
20 times in 90 trials.
A occurs 85 times, and B occurs
15 times in 100 trials.
The spinner lands on A 30 times.
The spinner lands on B 5 times.
7. A probability model for a spinner with 4
unequal sections labeled 1, 2, 3, and 4 is
shown. Which result is most unlikely for
this model?
The spinner lands on C 0 times.
The spinner lands on A 70 times.
The spinner lands on B 25 times.
The spinner lands on C 1 time.
The spinner lands on 1 twice in
20 spins.
The spinner lands on 2 twice in
5 spins.
The spinner lands on 3 twice in
25 spins.
The spinner lands on 4 twice in
10 spins.
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
Algebra 2
Common Core Assessment Readiness
SELECTED RESPONSE
Two fair number cubes are rolled. Match each event with the correct
subset of the sample space.
____ 9. The first number is less than 3 and the second number is even.
____ 10. The first number minus the second number equals 2.
____ 11. The sum of the numbers is greater than 7.
____ 12. The product of the numbers is an even number greater than 10.
{(3, 1), (4, 2), (5, 3), (6, 4)}
{(2, 5), (5, 2)}
{(1, 2), (1, 4), (1, 6),
(2, 2), (2, 4), (2, 6)}
{(1, 6), (2, 5), (3, 4),
(4, 3), (5, 2), (6, 1)}
{(2, 6), (3, 4), (3, 6), (4, 3), (4, 4)
(4, 5), (4, 6), (5, 4), (5, 6), (6, 2),
(6, 3), (6, 4), (6, 5), (6, 6)}
{(2, 6), (3, 5), (3, 6), (4, 4), (4, 5),
(4, 6), (5, 3), (5, 4), (5, 5), (5, 6),
(6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}
{(4, 2), (4, 4), (4, 6), (5, 2), (5, 4),
(5, 6), (6, 2), (6, 4), (6, 6)}
{(3, 1), (4, 2), (4, 1), (5, 3), (5, 2),
(5, 1), (6, 4), (6, 3), (6, 2), (6, 1)}
Select the correct answer.
13. You spin a spinner with 8 equally likely landing spaces numbered 1 to 8. Event A is landing
on a prime number. Event B is landing on an odd number. What is the intersection of A and
B?

{3, 5, 7}
{1, 2, 3, 5, 7}
{1, 2, 3, 4, 5, 6, 7, 8}
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Algebra 2 Teacher Guide
Common Core Assessment Readiness
Name _______________________________________ Date __________________ Class __________________
14. A group of 50 mice is being used in an experiment. Event A is a male mouse being chosen
at random. Event B is a mouse that is at least 6 months old being chosen. Which
expression describes a female mouse younger than 6 months old being chosen? The
notation  means “intersection,” and the notation
 means “union.”
AB
Ac  Bc
Ac  Bc
A  Bc
15. A bag contains red marbles, yellow marbles, and blue marbles. Event A is picking a red
marble, event B is picking a yellow marble, and event C is picking a blue marble. Describe
each of the following scenarios using an intersection, a union, or a complement.
a. Picking a single marble that is both red and yellow.
________________________________________
b. Picking a single marble that is
red or blue.
________________________________________
c. Picking a marble that is not red and not blue.
________________________________________
d. Are each of these scenarios possible? Explain.
________________________________________
SELECTED RESPONSE
Select the correct answer for each
lettered part.
16. Does the scenario describe independent events?
a. Drawing two cards from a
standard deck of cards
that are both aces
Yes
b. Rolling a fair number
cube twice and getting 6
on both rolls
Yes
c. Flipping a fair coin twice
and getting heads on
both flips
Yes
d. Rolling a 3 on a fair
number cube and flipping
tails on a fair coin
Yes
No
No
No
No
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
Algebra 2
Common Core Assessment Readiness
Name _______________________________________ Date __________________ Class __________________
Select the correct answer.
17. For two independent events A and B, P(A)  0.5 and P(B)  0.4. What is
P(A and B)?
0.1
0.8
0.2
0.9
18. Esther surveys 150 students in her school and records if they are right- or left-handed, and
if they prefer art class or gym class.
Right-handed
Left-handed
Total
Art
Gym
Total
52
8
60
78
12
90
130
20
150
a. According to the data, are being right-handed and preferring art class independent
events? Explain.
b. According to the data, are being left-handed and preferring art class independent
events? Explain.
c. According to the data, are being right-handed and preferring gym class independent
events? Explain.
SELECTED RESPONSE
Select the correct answer.
19. In a bag of 20 candies, 12 are red and 15
have peanuts in them. If the events of
picking a red candy and picking a candy
with peanuts are independent, how many
of the red candies have peanuts?
3
6
21.IN A STANDARD DECK OF 52 PLAYING
CARDS, FIND THE PROBABILITY THAT A
BLACK CARD IS A THREE. IS THIS THE
SAME AS THE PROBABILITY THAT A
THREE IS A BLACK CARD? USE
CONDITIONAL PROBABILITY....
22. 110 students are surveyed about their
pets. The results are shown in the table.
Which statement is true?
9
12
20. Suppose events A and B are
independent, P(A)  0.75, and P(B)  0.5.
What is P(A | B), the probability of A
given B?
0.25
0.375
0.5
0.75
At least one
pet
No pets
Total
Boys
18
Girls
39
Total
57
27
45
26
65
53
110
27% of the boys have no pets.
40% of the boys have at least
one pet.
49% of the girls have no pets.
57% of the students have at least
one pet.
The probability that a person
who ordered chicken is a woman is
less than 50%.
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
Algebra 2
Common Core Assessment Readiness
Name _______________________________________ Date __________________ Class __________________
SELECTED RESPONSE
Select the correct answer.
23. 200 people took part in a study involving
a new headache medicine. After one
week, the subjects were asked if they had
a headache in the past week. According
to the data in the two-way table, what
fraction of the people who were given the
placebo did not have a headache?
Given
Given
medicine placebo Total
Headache
30
20
50
No
120
30
150
headache
150
50
200
Total
2
5
3
5
3
4
4
5
Cat
No cat
Total
No dog
8
4
12
1
4
5
13
5
32
8
13
____ 26. The probability that a randomly
selected female student has
green eyes.
____ 27. The probability that a randomly
selected student with blue eyes
is male.
24. Elena asks the students in one of her
classes if they have a cat or a dog. Her
results are recorded in the table below.
What is the probability that a randomly
selected student who has a cat will also
have a dog?
Dog
5
15
20
Use the table to match each conditional
probability with the correct fraction.
Male
Female Total
10
12
22
Blue eyes
38
44
82
Brown eyes
12
14
26
Green eyes
20
30
50
Other eyes
80
100
180
Total
____ 25. The probability that a randomly
selected male student has
brown eyes.
Total
13
19
32
____ 28. The probability that a randomly
selected student with green eyes
is female.
19
41
5
11
19
40
1
8
7
50
1
6
7
26
7
13
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
Algebra 2
Common Core Assessment Readiness
Name _______________________________________ Date __________________ Class __________________
Select the correct answer.
29. A dodecahedral solid has 12 sides
numbered 1 through 12, all equally likely
to appear when you roll it. What is the
likelihood that you roll an even number or
a prime number?
It is impossible, because the
probability is 0.
30. Darren randomly chooses a card from a
standard deck of 52 playing cards. What
is the probability that Darren chooses a
club or a queen?
4
52
16
52
13
52
17
52
It is unlikely, because the probability
is less than 0.5.
It is as likely as not, because the
probability is about 0.5.
It is likely, because the probability is
greater than 0.5.
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
Algebra 2
Common Core Assessment Readiness