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
January 2015.

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 2x

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?

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)

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

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)

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 below. 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)

16 The equation for the volume of a cylinder is V = πr

17 Which equation has the same solutions as x

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) = n

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

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) = 0.8t

22 When factored completely, the expression p

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 than 1?

24 A polynomial function contains the factors x, x - 2, and x + 5. Which graph(s) below could represent the graph of this function?

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