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
More Lessons for the Regents High School Exam
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Algebra I Common Core Regents New York State Exam - June 2015
Algebra 1 - June 2015 Regents - Q #1 - 5
1. The cost of airing a commercial on television is modeled by the computations.
function C(n) = 110n + 900, where n is the number of times the
commercial is aired. Based on this model, which statement is true?
(1) The commercial costs $0 to produce and $110 per airing up to
(2) The commercial costs $110 to produce and $900 each time it is
(3) The commercial costs $900 to produce and $110 each time it is
(4) The commercial costs $1010 to produce and can air an unlimited
number of times.
2. The graph below represents a jogger’s speed during her 20-minute
jog around her neighborhood.
Which statement best describes what the jogger was doing during
the 9–12 minute interval of her jog?
3. If the area of a rectangle is expressed as x4
, then the product computations.
of the length and the width of the rectangle could be expressed as
4. Which table represents a function?
5. Which inequality is represented in the graph below?
Algebra 1 - June 2015 Regents - Q #6 - 10
6. Mo’s farm stand sold a total of 165 pounds of apples and peaches. computations.
She sold apples for $1.75 per pound and peaches for $2.50 per
pound. If she made $337.50, how many pounds of peaches did she
7. Morgan can start wrestling at age 5 in Division 1. He remains in that
division until his next odd birthday when he is required to move up
to the next division level. Which graph correctly represents this
8. Which statement is not always true?
(1) The sum of two rational numbers is rational.
(2) The product of two irrational numbers is rational.
(3) The sum of a rational number and an irrational number is irrational.
(4) The product of a nonzero rational number and an irrational
number is irrational.
9. The graph of the function is shown below.
The domain of the function is
10. What are the zeros of the function f(x) = x2
- 13x - 30?
Algebra 1 - June 2015 Regents - Q #11 - 15
11. Joey enlarged a 3-inch by 5-inch photograph on a copy machine.
He enlarged it four times. The table below shows the area of the
photograph after each enlargement.
What is the average rate of change of the area from the original
photograph to the fourth enlargement, to the nearest tenth?
12. Which equation(s) represent the graph below?
13. A laboratory technician studied the population growth of a colony of computations.
bacteria. He recorded the number of bacteria every other day, as
shown in the partial table below.
Which function would accurately model the technician’s data?
14. Which quadratic function has the largest maximum?
15. If f(x) = 3x
and g(x) = 2x + 5, at which value of x is f(x) < g(x)?
Algebra 1 - June 2015 Regents - Q #16 - 20
16. Beverly did a study this past spring using data she collected from a
cafeteria. She recorded data weekly for ice cream sales and soda sales.
Beverly found the line of best fit and the correlation coefficient,
as shown in the diagram below.
Given this information, which statement(s) can correctly be concluded?
I. Eating more ice cream causes a person to become thirsty.
II. Drinking more soda causes a person to become hungry.
III. There is a strong correlation between ice cream sales and soda sales.
17. The function V(t) = 1350(1.017)t
represents the value V(t), in dollars,
of a comic book t years after its purchase. The yearly rate of
appreciation of the comic book is
18. When directed to solve a quadratic equation by completing the computations.
square, Sam arrived at the given equation. Which equation
could have been the original equation given to Sam?
19. The distance a free falling object has traveled can be modeled by the
equation d = 1/2 at2
, where a is acceleration due to gravity and t is
the amount of time the object has fallen. What is t in terms of a and d?
20. The table below shows the annual salaries for the 24 members of a
professional sports team in terms of millions of dollars.
The team signs an additional player to a contract worth 10 million
dollars per year. Which statement about the median and mean is
Algebra 1 - June 2015 Regents - Q #21 - 24
21. A student is asked to solve the equation 4(3x - 1)2
- 17 = 83.
The student’s solution to the problem starts as
22. A pattern of blocks is shown below.
If the pattern of blocks continues, which formula(s) could be used
to determine the number of blocks in the nth term?
23. What are the solutions to the equation x2
- 8x = 24?
24. Natasha is planning a school celebration and wants to have live music
and food for everyone who attends. She has found a band that will
charge her $750 and a caterer who will provide snacks and drinks for
$2.25 per person. If her goal is to keep the average cost per person
between $2.75 and $3.25, how many people, p, must attend?
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