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June 2016 NYS Algebra 1 Common Core Regents Examination solutions worked out 6 to 10

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Published on Jun 25, 2016

The expression x4 16 is equivalent to computations.
(1) (x2 8)(x2 8) (3) (x2 4)(x2 4)
(2) (x2 8)(x2 8) (4) (x2 4)(x2 4)
2 An ex
2 An expression of the fifth degree is written with a leading coefficient
of seven and a constant of six. Which expression is correctly written
for these conditions?
(1) 6x5 x4 7 (3) 6x7 x5 5
(2) 7x6 6x4 5 (4) 7x5 2x2 6
3 The table below shows the year and the number of households in
a building that had high-speed broadband internet access.
For which interval of time was the average rate of change the smallest?
(1) 2002 – 2004 (3) 2004 – 2006
(2) 2003 – 2005 (4) 2005 – 2007
Number
4 The scatterplot below compares the number of bags of popcorn and
the number of sodas sold at each performance of the circus over
one week.
Which conclusion can be drawn from the scatterplot?
(1) There is a negative correlation between popcorn sales and soda
sales.
(2) There is a positive correlation between popcorn sales and soda
sales.
(3) There is no correlation between popcorn sales and soda sales.
(4) Buying popcorn causes people to buy soda.
The Celluloid Cinema sold 150 tickets to a movie. Some of these were
child tickets and the rest were adult tickets. A child ticket cost $7.75
and an adult ticket cost $10.25. If the cinema sold $1470 worth
of tickets, which system of equations could be used to determine
how many adult tickets, a, and how many child tickets, c, were sold?
(1) a c 150 (3) a c 150
10.25a 7.75c 1470 7.75a 10.25c 1470
(2) a c 1470 (4) a c 1470
10.25a 7.75c 150 7.75a 10.25c 150
y
x
7 The acidity in a swimming pool is considered normal if the average
of three pH readings, p, is defined such that 7.0
8 Dan took 12.5 seconds to run the 100-meter dash. He calculated
the time to be approximately
(1) 0.2083 minute (3) 0.2083 hour
(2) 750 minutes (4) 0.52083 hour
11 The range of the function f(x) x2 2x 8 is all real numbers
(1) less than or equal to 9
(2) greater than or equal to 9
(3) less than or equal to 1
(4) greater than or equal to 1
12 The zeros of the function f(x) x2 5x 6 are
(1) 1 and 6 (3) 2 and 3
(2) 1 and 6 (4) 2 and 3
13 In a sequence, the first term is 4 and the common difference is 3.
The fifth term of this sequence is
(1) 11 (3) 16
(2) 8 (4) 19
14 The growth of a certain organism can be modeled by
C(t) 10(1.029)24t
, where C(t) is the total number of cells after
t hours. Which function is approximately equivalent to C(t)?
(1) C(t) 240(.083)24t (3) C(t) 10(1.986)t
(2) C(t) 10(.083)t (4) C(t) 240(1.986)
__t
24
Use this spa
15 A public opinion poll was taken to explore the relationship between computations.
age and support for a candidate in an election. The results of the poll
are summarized in the table below.
What percent of the 21– 40 age group was for the candidate?
(1) 15 (3) 40
(2) 25 (4) 60
16 Which equation and ordered pair represent the correct vertex form
and vertex for j(x) x2 12x 7?
(1) j(x) (x 6)2 43, (6,43)
(2) j(x) (x 6)2 43, (6,43)
(3) j(x) (x 6)2 29, (6,29)
(4) j(x) (x 6)2 29, (6,29)
17 A student invests $500 for 3 years in a savings account that earns
4% interest per year. No further deposits or withdrawals are made
during this time. Which statement does not yield the correct balance
in the account at the end of 3 years?
(1) 500(1.04)3
(2) 500(1 .04)3
(3) 500(1 .04)(1 .04)(1 .04)
(4) 500 500(.04) 520(.04) 540.8(.04)
Age For Against No
The line represented by the equation 4y 2x 33.6 shares
a solution point with the line represented by the table below.
The solution for this system is
(1) (14.0,1.4) (3) (1.9,4.6)
(2) (6.8,5.0) (4) (6.0,5.4)
19 What is the solution of the equation 2(x 2)2 4 28?
(1) 6, only (3) 2 and 6
(2) 2, only (4) 6 and 2
20 The dot plot shown below represents the number of pets owned by
students in a class.
Which
Which statement about the data is not true?
(1) The median is 3.
(2) The interquartile range is 2.
(3) The mean is 3.
(4) The data contain no outliers.

5
11 6.4

21 What is the largest integer, x, for which the value of
f(x) 5x4 30x2 9 will be greater than the value of g(x) 3x?
(1) 7 (3) 9
(2) 8 (4) 10
22 The graphs of the functions f(x) |x 3| 1 and g(x) 2x 1 are
drawn. Which statement about these functions is true?
(1) The solution to f(x) g(x) is 3.
(2) The solution to f(x) g(x) is 1.
(3) The graphs intersect when y 1.
(4) The graphs intersect when x 3.
23
23 A store sells self-serve frozen yogurt sundaes. The function C(w)
represents the cost, in dollars, of a sundae weighing w ounces.
An appropriate domain for the function would be
(1) integers
(2) rational numbers
(3) nonnegative integers
(4) nonnegative rational numbers
24 Sara was asked to solve this word problem: “The product of two
consecutive integers is 156. What are the integers?”
What type of equation should she create to solve this problem?
(1) linear (3) exponential
(2) quadratic (4) absolute value

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