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

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- (1) 58
- (2) 54
- (3) 53
- (4) 50

What is m∠ABC?

- (1) 36
- (2) 45
- (3) 53
- (4) 72

Triangle EBC can be proved congruent to triangle DCB by

- (1) SAS ≅ SAS
- (2) ASA ≅ ASA
- (3) SSS ≅ SSS
- (4) HL ≅ HL

**5. The path of a rocket is represented by the equation y = √25 – x ^{2}. 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

**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

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

- (1) |x – 1| > 0
- (2) |x – 1| > (x – 1)
- (3) √x
^{2}= x - (4) √x
^{2}= |x|

**8. If x is a positive integer 4x ^{1/2}, is equivalent to**

- (1)
^{2}/_{x} - (2) 2x
- (3) 4√x
- (4) 4
^{1}/_{x}

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

- (1) y = x
^{2}+ 1 - (2) y = 2x
^{2}+ 1 - (3) y = x
^{2}– 3x + 1 - (4) y = 2x
^{2}– 3x + 1

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

- (1)
^{3}/_{2} - (2)
^{3}/_{4} - (3) 5
- (4) 4

**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

- (1) { }
- (2) {4,–6}
- (3) {–6}
- (4) {4}

**13. Which equation represents a function?**

- (1) 4y
^{2}= 36 – 9x^{2} - (2) y = x
^{2}– 3x – 4 - (3) x
^{2}+ y^{2}= 4 - (4) x = y
^{2}– 6x + 8

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

- (1) { }
- (2) {2}
- (3) {6}
- (4) {2,6}

**15. What is the sum of √–2 and √–18?**

- (1) 5
*i*√2 - (2) 4
*i*√2 - (3) 2
*i*√5 - (4) 6
*i*

**16. Which diagram represents a one-to-one function?**

**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) r
_{y=–x} - (2) r
_{y-axis} - (3) R
_{90°} - (4) R
_{–90°}

**18. Which transformation does not preserve orientation?**

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

**19. The roots of the equation 2x ^{2} – x = 4 are**

- (1) real and irrational
- (2) real, rational, and equal
- (3) real, rational, and unequal
- (4) imaginary

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

**Mathematics 20 June 2002 Questions Answers Keys**

Mathematics Examination Question |

Scoring Key and Rating Guide |

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