nys-algebra-i-common-core-regents-january-2015-pt-1-1-5-new-york-state

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?

(1) (3)

(2) (4)

3 Which equation has the same solutions as 2x2 x 3 0?

(1) (2x 1)(x 3) 0 (3)(2x 3)(x 1) 0

(2) (2x 1)(x 3) 0 (4)(2x 3)(x 1) 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?

(1) 3000(1 0.02)16 (3) 3000(1 +0.02)^18

(2) 3000(1 0.02)16 (4) 3000(1 -0.02)^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?

(1) integers (3) irrational numbers

(2) whole numbers (4) rational numbers

7 The inequality 7 computations. 2 __

3 x x 8 is equivalent to

(1) x 9 (3) x 9

(2) x 3 __

5 (4) x 3 __

5

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?

(1) 2589 (3) 15,901

(2) 6510 (4) 18,490

9 Which function has the same y-intercept as the graph

(1) y _1_2_ ____6_x_

4 (3) 6y x 18

(2) 27 3y 6x (4) y 3 6x below?

10 Fred is given a rectangular piece of paper. If the length of Fred’s computations.

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

(1) 5x 11 (3) 10x 22

(2) 6x2 28x 30 (4) 6x2 6x 11

11 The graph of a linear equation contains the points (3,11) and (2,1).

Which point also lies on the graph?

(1) (2,1) (3) (2,6)

(2) (2,4) (4) (2,9)

12 How does the graph of f(x) 3(x 2)2 1 compare to the graph

of g(x) x2?

(1) The graph of f(x) is wider than the graph of g(x), and its vertex

is moved to the left 2 units and up 1 unit.

(2) The graph of f(x) is narrower than the graph of g(x), and its vertex

is moved to the right 2 units and up 1 unit.

(3) The graph of f(x) is narrower than the graph of g(x), and its vertex

is moved to the left 2 units and up 1 unit.

(4) The graph of f(x) is wider than the graph of g(

and its vertex is

moved to the right 2 units and up 1 unit.

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?

(1) 0.79 4.50r ≤ 16.00; 3 rides

(2) 0.79 4.50r ≤ 16.00; 4 rides

(3) 4.50 0.79r ≤ 16.00; 14 rides

(4) 4.50 0.79r ≤ 16.00; 15 rides

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?

(1) Ocean Beach (3) Serene Shores

(2) Whispering Palms (4) Pelican Beach

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?

(1) 0.98, the percent of money in the account initially

(2) 0.98, the percent of money in the account after x years

(3) 5000, the amount of money in the account initially

(4) 5000, the amount of money in the account after x years

16 The equation for the volume of a cylinder is V πr2h. The positive computations.

value of r, in terms of h and V, is

(1) (3)

(2) (4)

17 Which equation has the same solutions as x2 6x 7 0?

(1) (x 3)2 2 (3) (x 3)2 16

(2) (x 3)2 2 (4) (x 3)2 16

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?

(1) (3,0) is the solution to the system because it satisfies the equation

y |x 3|.

(2) (9,0) is the solution to the system because it satisfies the equation

3x 3y 27.

(3) (6,3) is the solution to the system because it satisfies both equations.

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