january-2014-algebra-2-trig-nys-regents-pt-iv-16-to-20

1 What is the common difference in the sequence

2a 1, 4a 4, 6a 7, 8a 10, ...?

(1) 2a 3 (3) 2a 5

(2) 2a 3 (4) 2a 5

2 Which expression is equivalent to

(1) (3)

(2) 3x2 (4) 9x2

3 If g(x)

1 __

2 x 8 and h(x)

1 __

2 x 2, what is the value of

g(h(8))?

(1) 0 (3) 5

(2) 9 (4) 4

4 The expression is equivalent to

(1) (3)

(2) 7 11 (4)

38

7 11

60

7 11

38

7 11

60

1

7 11

1

3x2

1

9x2

3x2 ? 1 ( )

Algebra 2/Trigonometry -- January '14 [2]

Use this space for

computations.

5 The expression is equivalent to

(1) (3)

(2) (4)

6 A school cafeteria has five different lunch periods. The cafeteria staff

wants to find out which items on the menu are most popular, so they

give every student in the first lunch period a list of questions to

answer in order to collect data to represent the school. Which type

of study does this represent?

(1) observation (3) population survey

(2) controlled experiment (4) sample survey

7 Which relation is both one-to-one and onto?

(1) (3)

(2) (4)

r

h

m

s

4

2

5

r

h

m

s

4

8

2

5

r

h

m

s

4

2

1

5

r

h

m

s

4

8

2

5

1

ac

cd

1

1

a b

d b

ac b

cd b

c

d

1

1

a

bc

d bc

Algebra 2/Trigonometry -- January '14 [3] [OVER]

8 Max solves a quadratic equation by completing the square. He shows

a correct step:

(x 2)2 9

What are the solutions to his equation?

(1) 2 3i (3) 3 2i

(2) 2 3i (4) 3 2i

9 Which expression represents the total number of different 11-letter

arrangements that can be made using the letters in the word

"MATHEMATICS"?

(1) (3)

(2) (4)

10 If $5000 is invested at a rate of 3% interest compounded quarterly,

what is the value of the investment in 5 years? (Use the formula

A where A is the amount accrued, P is the principal,

r is the interest rate, n is the number of times per year the money is

compounded, and t is the length of time, in years.)

(1) $5190.33 (3) $5805.92

(2) $5796.37 (4) $5808.08

11 The roots of the equation 2x2 4 9x are

(1) real, rational, and equal

(2) real, rational, and unequal

(3) real, irrational, and unequal

(4) imaginary

P rn

(1 )nt,

11

8

!

!

11

2 2 2

!

! ! !

11

2 2 2

!

! • ! • !

11

3

!

!

Use this space for

computations.

Algebra 2/Trigonometry -- January '14 [4]

Use this space for

12 If d varies inversely as t, and d 20 when t 2, what is the value computations.

of t when d 5?

(1) 8 (3) 8

(2) 2 (4)2

13 If sin and ∠A terminates in Quadrant IV, tan A equals

(1) (3)

(2) (4)

14 Which expression is equivalent to

(1) 2a2 17 (3) 2a2 10a 17

(2) 4a2 30 (4) 4a2 20a 30

15 What are the coordinates of the center of a circle whose equation is

x2 y2 16x 6y 53 0?

(1) (8,3) (3) (8,3)

(2) (8,3) (4) (8,3)

a n

n

Σ( )

1

4

2

?

7

24

24

25

7

25

24

7

A 7

25

Algebra 2/Trigonometry -- January '14 [5] [OVER]

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16 For what are the domain and range? computations.

(1) {x | x 4} and {y| y 0} (3) {x | x 4} and {y| y 0}

(2) {x | x 4} and {y| y 0} (4) {x | x 4} and {y| y 0}

17 A math club has 30 boys and 20 girls. Which expression represents

the total number of different 5-member teams, consisting of 3 boys

and 2 girls, that can be formed?

(1) 30P3•20P2 (3) 30P3 20P2

(2) 30C3•20C2 (4) 30C3 20C2

18 What is the product of the roots of x 2 4x k 0 if one of the

roots is 7?

(1) 21 (3) 21

(2) 11 (4) 77

19 In DEF, d 5, e 8, and m∠D 32. How many distinct

triangles can be drawn given these measurements?

(1) 1 (3) 3

(2) 2 (4) 0

20 Liz has applied to a college that requires students to score in the top

6.7% on the mathematics portion of an aptitude test. The scores on

the test are approximately normally distributed with a mean score of

576 and a standard deviation of 104. What is the minimum score Liz

must earn to meet this requirement?

(1) 680 (3) 740

(2) 732 (4) 784

y

3

x 4

,

Algebra 2/Trigonometry -- January '14 [6]

Use this space for

computations.

21 The expression is equivalent to

(1) (3)

(2) (4)

22 Which sketch shows the inverse of y ax, where a 1?

3 27 2 3 16 4 ( x )( x )

y

x

y

x

y

x

y

x

(1) (3)

(2) (4)

1

1

1

1

12x 3 2x 6x2 3 2

12x2 3 2 6 3 2 2 x x

Algebra 2/Trigonometry -- January '14 [7] [OVER]

Use this space for

computations.

23 The expression is equivalent to

(1) (3)

(2) (4)

24 Which graph represents the solution set of

1

11 x

1

x 11

x 11 11 x

x x

x

2

2

9 22

121

(2 x)

x

x

1

2

6 7?

(1)

0 5

(2)

0 5

(3)

0 5

(4)

0 5

Algebra 2/Trigonometry -- January '14 [8]

Algebra

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