Algebra I Common Core Regents Exam - January 2015
High School Math based on the topics required for the Regents
Exam conducted by NYSED. The following are the worked solutions
for the Algebra 1 (Common Core) Regents High School Examination
Algebra I Common Core Regents New York State Exam - January 2015
Algebra 1 - January 2015 Regents - Q #1 - 5
1 The owner of a small computer repair business has one employee, computations.
who is paid an hourly rate of $22. The owner estimates his weekly
profit using the function P(x) = 8600 - 22x. In this function, x
represents the number of
(1) computers repaired per week
(2) hours worked per week
(3) customers served per week
(4) days worked per week
2 Peyton is a sprinter who can run the 40-yard dash in 4.5 seconds.
He converts his speed into miles per hour, as shown below.
Which ratio is incorrectly written to convert his speed?
3 Which equation has the same solutions as 2x2
+ x - 3 = 0?
4 Krystal was given $3000 when she turned 2 years old. Her parents computations.
invested it at a 2% interest rate compounded annually. No deposits or
withdrawals were made. Which expression can be used to determine
how much money Krystal had in the account when she turned 18?
5 Which table of values represents a linear relationship?
Algebra 1 - January 2015 Regents - Q #6 - 10
6 Which domain would be the most appropriate set to use for a
function that predicts the number of household online-devices in
terms of the number of people in the household?
7 The given inequality is equivalent to
8 The value in dollars, v(x), of a certain car after x years is represented
by the equation v(x) = 25,000(0.86)x
. To the nearest dollar,
how much more is the car worth after 2 years than after 3 years?
9 Which function has the same y-intercept as the graph below?
10 Fred is given a rectangular piece of paper. If the length of Fred’s
piece of paper is represented by 2x - 6 and the width is represented
by 3x - 5, then the paper has a total area represented by
Algebra 1 - January 2015 Regents - Q #11 - 15
11 The graph of a linear equation contains the points (3,11) and (2,1).
Which point also lies on the graph?
12 How does the graph of f(x) = 3(x - 2)2
+ 1 compare to the graph
of g(x) = x2
13 Connor wants to attend the town carnival. The price of admission to
the carnival is $4.50, and each ride costs an additional 79 cents.
If he can spend at most $16.00 at the carnival, which inequality can
be used to solve for r, the number of rides Connor can go on, and
what is the maximum number of rides he can go on?
14 Corinne is planning a beach vacation in July and is analyzing the
daily high temperatures for her potential destination. She would like
to choose a destination with a high median temperature and a small
interquartile range. She constructed box plots shown in the diagram
Which destination has a median temperature above 80 degrees and
the smallest interquartile range?
15 Some banks charge a fee on savings accounts that are left inactive
for an extended period of time. The equation y 5000(0.98)x
represents the value, y, of one account that was left inactive for a
period of x years.
What is the y-intercept of this equation and what does it represent?
Algebra 1 - January 2015 Regents - Q #16 - 20
16 The equation for the volume of a cylinder is V = πr2
h. The positive computations.
value of r, in terms of h and V, is
17 Which equation has the same solutions as x2
+ 6x - 7 = 0?
18 Two functions, y = |x - 3| and 3x + 3y = 27, are graphed on the
same set of axes. Which statement is true about the solution to the
system of equations?
19 Miriam and Jessica are growing bacteria in a laboratory. Miriam uses
the growth function f(t) = n2t
while Jessica uses the function
g(t) = n4t
, where n represents the initial number of bacteria and
t is the time, in hours. If Miriam starts with 16 bacteria, how many
bacteria should Jessica start with to achieve the same growth over
20 If a sequence is defined recursively by f(0) = 2 and
f(n + 1) = -2f(n) + 3 for n ≥ 0, then f(2) is equal to
Algebra 1 - January 2015 Regents - Q #21 - 24
21 An astronaut drops a rock off the edge of a cliff on the Moon.
The distance, d(t), in meters, the rock travels after t seconds can be
modeled by the function d(t) = 0.8t2
. What is the average speed,
in meters per second, of the rock between 5 and 10 seconds after
it was dropped?
22 When factored completely, the expression p4
- 81 is equivalent to
23 In 2013, the United States Postal Service charged $0.46 to mail a computations.
letter weighing up to 1 oz. and $0.20 per ounce for each additional
ounce. Which function would determine the cost, in dollars, c(z), of
mailing a letter weighing z ounces where z is an integer greater
24 A polynomial function contains the factors x, x - 2, and x + 5.
Which graph(s) below could represent the graph of this function?
More Questions, Worked Solutions and Revision
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