jan-2016-nys-algebra-2-trig-regents-exam-pt-4-16-to-20-solutions-tips-tricks

1 A survey is to be conducted in a small upstate village to determine computations.

whether or not local residents should fund construction of a

skateboard park by raising taxes. Which segment of the population

would provide the most unbiased responses?

(1) a club of local skateboard enthusiasts

(2) senior citizens living on fixed incomes

(3) a group opposed to any increase in taxes

(4) every tenth person 18 years of age or older walking downMain St.

2 Which angle does not terminate in Quadrant IV when drawn on a

unit circle in standard position?

(1) 300° (3) 280°

(2) 50° (4) 1030°

3 The expression is equivalent to

(1) 3 __

2 (3)

_3_x_y_

2

(2) ___ 3x __y_

2xy (4) ___ 3x __y_

2

1 3

2

x y

xy

1

Algebra 2/Trigonometry – Jan. ’16 [2]

Use this space for

4 Which relation does not represent a function? computations.

5 In the diagram below, the spinner is divided into eight equal regions.

Which expression represents the probability of the spinner landing

on B exactly three times in five spins?

(1) 8C3(1 __

5 )3(4 __

5 )5

(3) 5C3(1 __

8 )2(7 __

8 )3

(2) 8C3(1 __

5 )5(4 __

5 )3

(4) 5C3(1 __

8 )3(7 __

8 )2

C B

F G

E H

D A

(2)

(1) (3)

(4)

3

5

7

Domain

4

6

8

Range

3

5

7

Domain

4

6

8

Range

3

5

7

Domain

4

6

8

Range

3

5

7

Domain

4

6

8

Range

Algebra 2/Trigonometry – Jan. ’16 [3] [OVER]

6 The expression is equivalent to

(1) (3)

(2) (4)

7 The amount of money in an account can be determined by the

formula A Pert, where P is the initial investment, r is the annual

interest rate, and t is the number of years the money was invested.

What is the value of a $5000 investment after 18 years, if it was

invested at 4% interest compounded continuously?

(1) $9367.30 (3) $10,129.08

(2) $9869.39 (4) $10,272.17

8 What is expressed as a single fraction?

(1) (3)

(2) (4) 2 1

2 1

x

x

2

( 2 )

2 1

2 1

x

x

1

( 2 )

2 1

2 2

x

x

2

2

x

x

1

2

1

1

x

x2 2 x

2

1

1

2 2

3 3 3 2

2

b c

a

3 6 5

3

b c

a

3 9 6

18

b c

a

3

2

3

2

bc

a

3 27 6 3 2 a2 b c

Use this space for

computations.

Algebra 2/Trigonometry – Jan. ’16 [4]

Use this space for

9 What is the total number of points of intersection of the graphs of computations.

the equations 2x2 y2 8 and y x 2?

(1) 1 (3) 3

(2) 2 (4) 0

10 Given the sequence: x, (x y), (x 2y),…

Which expression can be used to determine the common difference

of this sequence?

(1) x (x y) (3)

(2) (x 2y) (x y) (4)

11 In a circle with a diameter of 24 cm, a central angle of _4_π_

3 radians

intercepts an arc. The length of the arc, in centimeters, is

(1) 8π (3) 16π

(2) 9π (4) 32π

12 Which graph is the solution to the inequality 4|2x 6| 5 27?

–9 –7 –5 –3 –1 1 3 5

–9 –7 –5 –3 –1 1 3 5

–9 –7 –5 –3 –1 1 3 5

(1)

(2)

(3)

(4)

–9 –7 –5 –3 –1 1 3 5

( )

( )

x y

x y

1

1

2

x

(x1y)

Algebra 2/Trigonometry – Jan. ’16 [5] [OVER]

Use this space for

13 What is the sum of the roots of the equation 3x2 6x 2 0? computations.

(1) 2 __

3 (3) 2 __

3

(2) 2 (4) 2

14 The scores of 1000 students on a standardized test were normally

distributed with a mean of 50 and a standard deviation of 5. What is

the expected number of students who had scores greater than 60?

(1) 1.7 (3) 46

(2) 23 (4) 304

15 If T 10x2 ____

y , then log T is equivalent to

(1) (1 2log x) log y (3) (1 2log x) log y

(2) log(1 2x) log y (4) 2(1 log x) log y

16 Which statement regarding correlation is not true?

(1) The closer the absolute value of the correlation coefficient is to

one, the closer the data conform to a line.

(2) A correlation coefficient measures the strength of the linear

relationship between two variables.

(3) A negative correlation coefficient indicates that there is a weak

relationship between two variables.

(4) A relation for which most of the data fall close to a line is

17 What is the value of ?

(1) 1 (3) 0

(2) –1 (4) 1 __

2

18 The roots of the equation 4(x2 1) 3x are

(1) imaginary (3) real, rational, unequal

(2) real, rational, equal (4) real, irrational, unequal

19 If f(x) 2x2 3x 4, then f(x 3) is equal to

(1) 2x2 3x 7 (3) 2x2 9x 13

(2) 2x2 3x 13 (4) 2x2 9x 25

20 The expression x(3i2)3 2xi12 is equivalent to

(1) 2x 27xi (3) 25x

(2) 7x (4) 29x

21 If the terminal side of angle θ passes through the point (3,4),

what is the value of sec θ?

(1) 5 __

3 (3) 5 __

4

(2) 5 __

3 (4) 5 __

4

cos n

n

π

2

1

3

5

Σ

Algebra 2/Trigonometry – Jan. ’16 [7] [OVER]

Algebra 2/Trigonometry – Jan. ’16 [8]

22 When the inverse of tan θ is sketched, its domain is

(1) 1 ≤ θ ≤ 1 (3) 0 ≤ θ ≤ π

(2) π __

2 ≤ θ ≤ π __

2 (4) ∞ θ ∞

23 What is the third term of the recursive sequence below?

a1 6

an 1 __

2 an 1 n

(1) 1_1_

2 (3) 1 __

2

(2) 5 __

2 (4) 4

24 What is the equation of a circle with its center at (0,2) and passing

through the point (3,5)?

(1) x2 (y 2)2 9 (3) x2 (y 2)2 18

(2) (x 2)2 y2 9 (4) (x 2)2 y2 18

25 If angles A and B are complementary, then sec B equals

(1) csc(90° B) (3) cos(B 90°)

(2) csc(B 90°) (4) cos(90° B)

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