Mathematics 13 August 2008

Mathematics 13 August 2008 Questions Answer Keys

The University of the State of New York
REGENTS HIGH SCHOOL EXAMINATION
MATHEMATICS B
Wednesday, August 13, 2008 — 8:30 to 11:30 a.m., only
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1. Which transformation of y = 2x results in the function y = 2x – 2?

  • (1) T0,–1
  • (2) T0,–2
  • (3) ry-axis
  • (4) rx-axis
Answer: (2) T0,–2 

2. Tanner and Robbie discovered that the means of their grades for the first semester in Mrs. Merrell’s mathematics class are identical. They also noticed that the standard deviation of Tanner’s scores is 20.7, while the standard deviation of Robbie’s scores is 2.7. Which statement must be true?

  • (1) In general, Robbie’s grades are lower than Tanner’s grades.
  • (2) Robbie’s grades are more consistent than Tanner’s grades.
  • (3) Robbie had more failing grades during the semester than Tanner had.
  • (4) The median for Robbie’s grades is lower than the median for Tanner’s grades.
Answer: (2) Robbie’s grades are more consistent than Tanner’s grades. 

What is the measure of ∠KNU?

  • (1) 50°
  • (2) 65°
  • (3) 80°
  • (4) 100°
Answer: (1) 50° 

4. What is the graph of the function 

  • (1) a circle whose radius is 2 and whose center is at the origin
  • (2) a circle whose radius is 4 and whose center is at the origin
  • (3) the upper half of a circle whose radius is 2 and whose center is at the origin
  • (4) the upper half of a circle whose radius is 4 and whose center is at the origin
Answer: (3) the upper half of a circle whose radius is 2 and whose center is at the origin
Answer: (1)  

6. Which inequality is represented by the accompanying graph?

  • (1) |x| > 1
  • (2) |x| ≥ 1
  • (3) |x| < 1
  • (4) |x| ≤ 1
Answer: (1) |x| > 1 
Answer: (3)  

8. The family of curves shown in the accompanying graph illustrates the transformations of a function.

Which type of function could be the original function?

  • (1) linear
  • (2) tangent
  • (3) exponential
  • (4) sinusoidal
Answer: (3) exponential

9. The expression ½ log m − 3 log n is equivalent to

Answer: (4)  

10. Under the transformation (x,y) → (2x,2y), which property is not preserved?

  • (1) distance
  • (2) orientation
  • (3) parallelism
  • (4) angle measure
Answer: (1) distance

11. If 10k = x, then 103k is equal to

  • (1) x3
  • (2) 3 + x
  • (3) 3x
  • (4) 1,000x
Answer: (1) x3 

12. Which equation is not a function?

  • (1) y = 3x2 – 4
  • (2) y = sin x
  • (3) y = sec x
  • (4) x2 = 16 – y2
Answer: (4) x2 = 16 – y2 

13. The expression 1 – sec x is equivalent to

Answer: (2)  

14. The roots of the equation 5x2 − 2x + 1 = 0 are

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

15. Which graph represents a sound wave that follows a curve whose period is π and that is in the form y = a sin bx?

Answer: (3)  
  • (1) −5i
  • (2) −5
  • (3) 5i
  • (4) 5
Answer: (3) 5i
Answer: (2)  
Answer: (3)  

19. If 2(16×2 – 8x – 3) = 1, what does x equal?

Answer: (4)  

20. The accompanying graph shows the relationship between kinetic energy, y, and velocity, x.

The reflection of this graph in the line y = x is

Answer: (2)  

Mathematics 13 August 2008 Questions Answers Keys

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