# Mathematics 20 June 2002

Mathematics 20 June 2002 Questions Answer Keys

The University of the State of New York
Regents High School Examination
Mathematics B
Thursday, June 20, 2002 — 1:15 to 4:15 p.m., only

Print Your Name: ______________________________________________________

Print Your School’s Name: ________________________________________________ • (1) 58
• (2) 54
• (3) 53
• (4) 50
Answer: (4) 50 Answer: (2) What is m∠ABC?

• (1) 36
• (2) 45
• (3) 53
• (4) 72
Answer: (2) 45 Triangle EBC can be proved congruent to triangle DCB by

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

5. The path of a rocket is represented by the equation y = √25 – x2. The path of a missile designed to intersect the path of the rocket is represented by the equation x = 3/2√y. The value of x at the point of intersection is 3. What is the corresponding value of y?

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

6. On a standardized test, the distribution of scores is normal, the mean of the scores is 75, and the standard deviation is 5.8. If a student scored 83, the student’s score ranks

• (1) below the 75th percentile
• (2) between the 75th percentile and the 84th percentile
• (3) between the 84th percentile and the 97th percentile
• (4) above the 97th percentile
Answer: (3) between the 84th percentile and the 97th percentile

7. Which statement is true for all real number values of x?

• (1) |x – 1| > 0
• (2) |x – 1| > (x – 1)
• (3) √x2 = x
• (4) √x2 = |x|
Answer: (4) √x2 = |x|

8. If x is a positive integer 4x1/2, is equivalent to

• (1) 2/x
• (2) 2x
• (3) 4√x
• (4) 41/x
Answer: (3) 4√x

9. What is the equation of a parabola that goes through points (0,1), (–1,6), and (2,3)?

• (1) y = x2 + 1
• (2) y = 2x2 + 1
• (3) y = x2 – 3x + 1
• (4) y = 2x2 – 3x + 1
Answer: (4) y = 2x2 – 3x + 1

10. If f(x) = 2x2 + 4 and g(x) = x – 3, which number satisfies f(x) = (f ° g)(x)?

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

11. A linear regression equation of best fit between a student’s attendance and the degree of success in school is h = 0.5x + 68.5. The correlation coefficient, r, for these data would be

• (1) 0 < r < 1
• (2) –1 < r < 0
• (3) r = 0
• (4) r = –1
Answer: (1) 0 < r < 1 • (1) { }
• (2) {4,–6}
• (3) {–6}
• (4) {4}
Answer: (3) {–6}

13. Which equation represents a function?

• (1) 4y2 = 36 – 9x2
• (2) y = x2 – 3x – 4
• (3) x2 + y2 = 4
• (4) x = y2 – 6x + 8
Answer: (2) y = x2 – 3x – 4

14. What is the solution set of the equation x = 2√2x – 3 ?

• (1) { }
• (2) {2}
• (3) {6}
• (4) {2,6}
Answer: (4) {2,6}

15. What is the sum of √–2 and √–18?

• (1) 5i√2
• (2) 4i√2
• (3) 2i√5
• (4) 6i
Answer: (2) 4i√2

16. Which diagram represents a one-to-one function? Answer: (3)

17. Point P′ is the image of point P(–3,4) after a translation defined by T(7,–1). Which other transformation on P would also produce P′?

• (1) ry=–x
• (2) ry-axis
• (3) R90°
• (4) R–90°
Answer: (4) R–90°

18. Which transformation does not preserve orientation?

• (1) translation
• (2) dilation
• (3) reflection in the y-axis
• (4) rotation
Answer: (3) reflection in the y-axis

19. The roots of the equation 2x2 – x = 4 are

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

20. Which graph represents the inverse of f(x) = {(0,1),(1,4),(2,3)}? Answer: (3)

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