Mathematics 28 January 2005

Mathematics 28 January 2005 Questions Answer Keys

The University of the State of New York
Regents High School Examination
Mathematics B
Friday, January 28, 2005 — 9:15 a.m. to 12:15 p.m., only

Print Your Name: ______________________________________________________

Print Your School’s Name: ________________________________________________

1. If f(x) = –2x + 7 and g(x) = x2 – 2, then f(g(3)) is equal to

  • (1) –7
  • (2) –3
  • (3) –1
  • (4) 7
Answer: (1) –7

2. The shaded portion of the accompanying map indicates areas of night, and the unshaded portion indicates areas of daylight at a particular moment in time.

Mathematics 28 January 2005

Which type of function best represents the curve that divides the area of night from the area of daylight?

  • (1) quadratic
  • (2) cosine
  • (3) tangent
  • (4) logarithmic
Answer: (2) cosine

3. If R varies inversely as S, when S is doubled, R is multiplied by

  • (1) ½
  • (2) 2
  • (3) ¼
  • (4) 4
Answer: (1) ½
Mathematics 28 January 2005
  • (1) {x|x ∈ real numbers, x ≠ 7}
  • (2) {x|x ∈ real numbers, x ≠ ±7}
  • (3) {x|x ∈ real numbers}
  • (4) {x|x ∈ real numbers, x ≠ 0}
Answer: (2) {x|x ∈ real numbers, x ≠ ±7}
Mathematics 28 January 2005
  • (1) 5
  • (2) 10
  • (3) 25
  • (4) 45
Answer: (3) 25

6. The product of (5ab) and (–2a2b)3 is

  • (1) –30a6b4
  • (2) –30a7b4
  • (3) –40a6b4
  • (4) –40a7b4
Answer: (4) –40a7b4

7. Which transformation is an example of an opposite isometry?

  • (1) (x,y) → (x + 3,y – 6)
  • (2) (x,y) → (3x,3y)
  • (3) (x,y) → (y,x)
  • (4) (x,y) → (y,–x)
Answer: (3) (x,y) → (y,x) 
Mathematics 28 January 2005
Answer: (4) sin θ 

9. Which graph represents the solution set of the inequality x2 – 4x – 5 < 0?

Mathematics 28 January 2005
Answer: (1)  

10. A small fragment of something brittle, such as pottery, is called a shard. The accompanying diagram represents the outline of a shard from a small round plate that was found at an archaeological dig.

Mathematics 28 January 2005
  • (1) 45°
  • (2) 90°
  • (3) 135°
  • (4) 225°
Answer: (2) 90°  

11. Which graph is not a function?

Mathematics 28 January 2005
Answer: (1) 
Mathematics 28 January 2005
Answer: (2) – 1/9 

13. The roots of the equation 2x2 – 8x – 4 = 0 are

  • (1) imaginary
  • (2) real, rational, and equal
  • (3) real, irrational, and unequal
  • (4) real, rational, and unequal
Answer: (3) real, irrational, and unequal 

14. What is the equation of a circle with center (–3,1) and radius 7?

  • (1) (x – 3)2 + (y + 1)2 = 7
  • (2) (x – 3)2 + (y + 1)2 = 49
  • (3) (x + 3)22 + (y – 1)2 = 7
  • (4) (x + 3)2 + (y – 1)2 = 49
Answer: (4) (x + 3)2 + (y – 1)2 = 49 

15. Which scatter diagram shows the strongest positive correlation?

Mathematics 28 January 2005
Answer: (1)
Mathematics 28 January 2005
Answer: (3) 3 + √2 

17. The accompanying diagram shows the construction of a model of an elliptical orbit of a planet traveling around a star. Point P and the center of the star represent the foci of the orbit.

Mathematics 28 January 2005
Answer: (2)

18. The expression i16/i3 is equivalent to

  • (1) 1
  • (2) –1
  • (3) i
  • (4) –i
Answer: (3)

19. If log5 x = 2, what is a value of √x?

  • (1) 2 2/5
  • (2) √5
  • (3) 5
  • (4) 25
Answer: (3) 5 

20. If the coordinates of point A are (–2,3), what is the image of A under r y–axis° D3?

  • (1) (–6,–9)
  • (2) (9,–6)
  • (3) (5,6)
  • (4) (6,9)
Answer: (4) (6,9) 

 

Mathematics 28 January 2005 Questions Answers Keys

Mathematics 23 June 2009Mathematics Examination Question
Mathematics 23 June 2009Scoring Key and Rating Guide

 

See also:

0 comments… add one

Leave a Comment