Mathematics 27 January 2006 Questions Answer Keys

**The University of the State of New York**

REGENTS HIGH SCHOOL EXAMINATION

MATHEMATICS B

Friday, January 27, 2006 — 9:15 a.m. to 12:15 p.m., only

Print Your Name: ______________________________________________________

Print Your School’s Name:_________________________________________________

**1. What is the value of **

- (1) 70
- (2) 130
- (3) 470
- (4) 530

**2. The effect of pH on the action of a certain enzyme is shown on the accompanying graph.**

What is the domain of this function?

- (1) 4 ≤ x ≤ 13
- (2) 4 ≤ y ≤ 13
- (3) x ≥ 0
- (4) y ≥ 0

**3. Which graph shows that soil permeability varies inversely to runoff?**

**4. On a standardized test, a score of 86 falls exactly 1.5 standard deviations below the mean. If the standard deviation for the test is 2, what is the mean score for this test?**

- (1) 84
- (2) 84.5
- (3) 87.5
- (4) 89

**5. Which transformation of the graph of y = x ^{2} would result in the graph of y = x^{2} + 2?**

- (1) D
_{2} - (2) T
_{0,2} - (3) r
_{y = 2} - (4) R
_{0,90}

**6. A sound wave is modeled by the curve y = 3 sin 4x. What is the period of this curve?**

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

**7. If √2x – 1 + 2 = 5 , then x is equal to**

- (1) 1
- (2) 2
- (3) 5
- (4) 4

**8. The expression (1 + cos x)(1 – cos x) is equivalent to**

- (1) 1
- (2) sec
^{2}x - (3) sin
^{2}x - (4) csc
^{2}x

**10. What is the solution of the inequality |y + 8| > 3?**

- (1) y > –5 or y < –11
- (2) y > –5
- (3) –11 < y < –5
- (4) –5 < y < 11

**12. In physics class, Eva noticed the pattern shown in the accompanying diagram on an oscilloscope.**

Which equation best represents the pattern shown on this oscilloscope?

**14. The roots of the equation 2x ^{2} – 5 = 0 are**

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

**15. What is the radian measure of the angle formed by the hands of a clock at 2:00 p.m.?**

- (1)
^{π}/_{2} - (2)
^{π}/_{3} - (3)
^{π}/_{4} - (4)
^{π}/_{6}

**16. If θ is an angle in standard position and P(–3,4) is a point on the terminal side of θ, what is the value of sin θ?**

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

**18. What are the coordinates of point A′, the image of point A(–4,1) after the composite transformation R _{90°} ° r _{y=x} where the origin is the center of rotation?**

- (1) (–1,–4)
- (2) (–4,–1)
- (3) (1,4)
- (4) (4,1)

**19. The accompanying diagram shows a 24-foot ladder leaning against a building. A steel brace extends from the ladder to the point where the building meets the ground. The brace forms a right angle with the ladder.**

If the steel brace is connected to the ladder at a point that is 10 feet from the foot of the ladder, which equation can be used to find the length, x, of the steel brace?

**20. The center of a circle represented by the equation (x – 2) ^{2} + (y + 3)^{2} = 100 is located in Quadrant**

- (1) I
- (2) II
- (3) III
- (4) IV

**Mathematics 27 January 2006 Questions Answers Keys**

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