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Algebra I Common Core Regents Exam Solutions - June 2015

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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 June 2015.

Algebra I Common Core Regents New York State Exam - June 2015

Algebra 1 - June 2015 Regents - Q #25 - 29

25 Graph the function y = |x - 3| on the set of axes below.
Explain how the graph of y = |x - 3| has changed from the related graph y = |x|.

26 Alex is selling tickets to a school play. An adult ticket costs $6.50 and a student ticket costs $4.00. Alex sells x adult tickets and 12 student tickets. Write a function, f(x), to represent how much money Alex collected from selling tickets.

27 John and Sarah are each saving money for a car. The total amount of money John will save is given by the function f(x) = 60 + 5x. The total amount of money Sarah will save is given by the function g(x) = x2 + 46. After how many weeks, x, will they have the same amount of money saved? Explain how you arrived at your answer.

28 If the difference (3x2 - 2x + 5) - (x2 + 3x - 2) is multiplied by 1/2 x2, what is the result, written in standard form?

29 Dylan invested $600 in a savings account at a 1.6% annual interest rate. He made no deposits or withdrawals on the account for 2 years. The interest was compounded annually. Find, to the nearest cent, the balance in the account after 2 years. Algebra 1 - June 2015 Regents - Q #30 - 33

30 Determine the smallest integer that makes -3x + 7 - 5x < 15 true.

31 The residual plots from two different sets of bivariate data are graphed below. Explain, using evidence from graph A and graph B, which graph indicates that the model for the data is a good fit.

32 A landscaper is creating a rectangular flower bed such that the width is half of the length. The area of the flower bed is 34 square feet. Write and solve an equation to determine the width of the flower bed, to the nearest tenth of a foot.

33 Albert says that the two systems of equations shown below have the same solutions. Determine and state whether you agree with Albert. Justify your answer.

Algebra 1 - June 2015 Regents - Q #34 - 36

34 The equation to determine the weekly earnings of an employee at The Hamburger Shack is given by w(x), where x is the number of hours worked.
Determine the difference in salary, in dollars, for an employee who works 52 hours versus one who works 38 hours.
Determine the number of hours an employee must work in order to earn $445. Explain how you arrived at this answer.

35 An on-line electronics store must sell at least $2500 worth of printers and computers per day. Each printer costs $50 and each computer costs $500. The store can ship a maximum of 15 items per day.
On the set of axes below, graph a system of inequalities that models these constraints. Determine a combination of printers and computers that would allow the electronics store to meet all of the constraints. Explain how you obtained your answer

36 An application developer released a new app to be downloaded. The table below gives the number of downloads for the first four weeks after the launch of the app.
Write an exponential equation that models these data.
Use this model to predict how many downloads the developer would expect in the 26th week if this trend continues. Round your answer to the nearest download.
Would it be reasonable to use this model to predict the number of downloads past one year? Explain your reasoning. Algebra 1 - June 2015 Regents - Q #37

37 A football player attempts to kick a football over a goal post. The path of the football can be modeled by the function h(x) = - 1/225 x2 + 2/3 x, where x is the horizontal distance from the kick, and h(x) is the height of the football above the ground, when both are measured in feet. On the set of axes below, graph the function y = h(x) over the interval 0 ≤ x ≤ 150. Determine the vertex of y = h(x). Interpret the meaning of this vertex in the context of the problem. The goal post is 10 feet high and 45 yards away from the kick. Will the ball be high enough to pass over the goal post? Justify your answer. More Questions, Worked Solutions and Revision Resources for the Math Regents Examination

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