# Mathematics 20 June 2003

Mathematics 20 June 2003 Questions Answer Keys

The University of the State of New York
REGENTS HIGH SCHOOL EXAMINATION
MATHEMATICS B
Friday, June 20, 2003 — 1:15 to 4:15 p.m., only
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Print Your School’s Name:_________________________________________________

1. For which value of x is y = log x undefined?

• (1) 0
• (2) 1 ⁄10
• (3) π
• (4) 1.483
Answer: (1) 0

2. If sin θ > 0 and sec θ < 0, in which quadrant does the terminal side of angle  lie?

• (1) I
• (2) II
• (3) III
• (4) IV
Answer: (2) II

3. What is the value of x in the equation 81x+2 = 275x+4 ? Answer: (4)

4. The relationship between voltage, E, current, I, and resistance, Z, is given by the equation E = IZ. If a circuit has a current I = 3 + 2i and a resistance Z = 2 – i, what is the voltage of this circuit?

• (1) 8 + i
• (2) 8 + 7i
• (3) 4 + i
• (4) 4 – i
Answer: (1) 8 + i Answer: (3)

6. What are the coordinates of point P, the image of point (3,–4) after a reflection in the line y = x?

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

7. The roots of the equation ax2 + 4x = –2 are real, rational, and equal when a has a value of

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

8. Two objects are 2.4 × 1020 centimeters apart. A message from one object travels to the other at a rate of 1.2 × 105 centimeters per second. How many seconds does it take the message to travel from one object to the other?

• (1) 1.2 × 1015
• (2) 2.0 × 104
• (3) 2.0 × 1015
• (4) 2.88 × 1025
Answer: (3) 2.0 × 1015

9. If f(x) = cos x, which graph represents f(x) under the composition r y-axis ° rx-axis ? Answer: (2)

10. Which diagram represents a relation in which each member of the domain corresponds to only one member of its range? Answer: (3)

11. The accompanying diagram represents the elliptical path of a ride at an amusement park. Which equation represents this path? Answer: (3) Answer: (1)

13. Which transformation is an opposite isometry?

• (1) dilation
• (2) line reflection
• (3) rotation of 90°
• (4) translation
Answer: (2) line reflection

14. Which equation is represented by the accompanying graph? • (1) y =|x|– 3
• (2) y = (x – 3)2 + 1
• (3) y = |x + 3| – 1
• (4) y = |x – 3| + 1
Answer: (4) y = |x – 3| + 1

15. What is the value of i99 – i3?

• (1) 1
• (2) i96
• (3) –i
• (4) 0
Answer: (4) 0 • (1) 8
• (2) –8
• (3) 25
• (4) –25
Answer: (2) –8 Answer: (2)

18. What is the solution set of the inequality |3 – 2x| ≥ 4? Answer: (3)

19. What value of x in the interval 0° ≤ x ≤ 180° satisfies the equation √3 tan x + 1 = 0?

• (1) –30°
• (2) 30°
• (3) 60°
• (4) 150°
Answer: (4) 150° Which statement would not be used to prove ΔABC ≅ ΔDEF?

• (1) SSS ≅ SSS
• (2) SAS ≅ SAS
• (3) AAS ≅ AAS
• (4) HL ≅ HL
Answer: (1) SSS ≅ SSS

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