the formula below to determine their monthly payment, to the
nearest dollar
.
monthly payment
amount borrowed
annual interest rate
total number of monthly payments
32
An angle,
, is in standard position and its terminal side passes through the point
.
Find the
exact
value of
.
33
Solve algebraically for all values of
x
:

Algebra II CCSS Regents Exam 0618
Page 10
34
Joseph was curious to determine if scent improves memory.
A test was created where
better memory is indicated by higher test scores.
A controlled experiment was performed
where one group was given the test on scented paper and the other group was given the
test on unscented paper.
The summary statistics from the experiment are given below.
Scented
Paper
Unscented
Paper
23
18
s
x
2.898
2.408
Calculate the difference in means in the experimental test grades (scented -unscented).
A
simulation was conducted in which the subjects' scores were rerandomized into two
groups 1000 times.
The differences of the group means were calculated each time.
The
results are shown below.
Use the simulation results to determine the interval representing the middle 95% of the
difference in means, to the
nearest hundredth
.
Is the difference in means in Joseph's
experiment statistically significant based on the simulation?
Explain.

Algebra II CCSS Regents Exam 0618
Page 11
35
Carla wants to start a college fund for her daughter Lila.
She puts $63,000 into an account
that grows at a rate of 2.55% per year, compounded monthly.
Write a function,
, that
represents the amount of money in the account
t
years after the account is opened, given
that no more money is deposited into or withdrawn from the account.
Calculate
algebraically the number of years it will take for the account to reach $100,000, to the
nearest hundredth of a year
.
36
The height,
in cm, of a piston, is given by the equation
, where
t
represents the number of seconds since the measurements began.
Determine the average
rate of change, in cm/sec, of the piston's height on the interval
.
At what value(s)
of
t
, to the
nearest tenth of a second
, does
in the interval
?
Justify your
answer.
37
Website popularity ratings are often determined using models that incorporate the number
of visits per week a website receives.
One model for ranking websites is
,
where
x
is the number of visits per week in thousands and
is the website's popularity
rating.
According to this model, if a website is visited 16,000 times in one week, what is
its popularity rating, rounded to the
nearest tenth
?
Graph
on the axes below.
An alternative rating model is represented by
, where
x
is the number of visits
per week in thousands.
Graph
on the same set of axes.
For what number of weekly
visits will the two models provide the same rating?

Algebra II CCSS Regents Exam 0618
1
ANS: 2
PTS:
2
REF:
061801aii
NAT:
A.REI.C.7
TOP:
Quadratic-Linear Systems
KEY: AII
2
ANS: 2
PTS: 2
REF: 061802aii
NAT: F.IF.C.7
TOP:
Graphing Exponential Functions
KEY: AII
3
ANS: 3
PTS:
2
REF:
061803aii
NAT:
A.APR.D.6
TOP:
Rational Expressions
KEY: factoring
4
ANS: 2
PTS: 2
REF: 061804aii
NAT: S.ID.B.6
TOP:
Regression
KEY:
choose model
5
ANS: 3
PTS:
2
REF:
061805aii
NAT:
N.CN.A.2
TOP:
Operations with Complex Numbers
6
ANS: 2
PTS:
2
REF:
061806aii
NAT:
F.BF.B.3
TOP:
Even and Odd Functions
7
ANS: 1
,
,
,
PTS:
2
REF:
061807aii
NAT:
F.IF.B.6
TOP:
Rate of Change
KEY: AII
8
ANS: 1
PTS:
2
REF:
061808aii
NAT:
A.APR.C.4
TOP:
Polynomial Identities
9
ANS: 4

Algebra II CCSS Regents Exam 0618
PTS:
2
REF:
061809aii
NAT:
A.REI.A.2

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- Spring '17
- Statistics, Algebra, Equations