Mathematics 28 January 2005 Questions Answer Keys

**The University of the State of New York **Regents High School Examination

Mathematics B

Friday, January 28, 2005 — 9:15 a.m. to 12:15 p.m., only

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**1. If f(x) = –2x + 7 and g(x) = x ^{2} – 2, then f(g(3)) is equal to**

- (1) –7
- (2) –3
- (3) –1
- (4) 7

**2. The shaded portion of the accompanying map indicates areas of night, and the unshaded portion indicates areas of daylight at a particular moment in time.**

Which type of function best represents the curve that divides the area of night from the area of daylight?

- (1) quadratic
- (2) cosine
- (3) tangent
- (4) logarithmic

**3. If R varies inversely as S, when S is doubled, R is multiplied by**

- (1) ½
- (2) 2
- (3) ¼
- (4) 4

- (1) {x|x ∈ real numbers, x ≠ 7}
- (2) {x|x ∈ real numbers, x ≠ ±7}
- (3) {x|x ∈ real numbers}
- (4) {x|x ∈ real numbers, x ≠ 0}

- (1) 5
- (2) 10
- (3) 25
- (4) 45

**6. The product of (5ab) and (–2a ^{2}b)^{3} is**

- (1) –30a
^{6}b^{4} - (2) –30a
^{7}b^{4} - (3) –40a
^{6}b^{4} - (4) –40a
^{7}b^{4}

**7. Which transformation is an example of an opposite isometry?**

- (1) (x,y) → (x + 3,y – 6)
- (2) (x,y) → (3x,3y)
- (3) (x,y) → (y,x)
- (4) (x,y) → (y,–x)

**9. Which graph represents the solution set of the inequality x ^{2} – 4x – 5 < 0?**

**10. A small fragment of something brittle, such as pottery, is called a shard. The accompanying diagram represents the outline of a shard from a small round plate that was found at an archaeological dig.**

- (1) 45°
- (2) 90°
- (3) 135°
- (4) 225°

**11. Which graph is not a function?**

**13. The roots of the equation 2x ^{2} – 8x – 4 = 0 are**

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

**14. What is the equation of a circle with center (–3,1) and radius 7?**

- (1) (x – 3)
^{2}+ (y + 1)^{2}= 7 - (2) (x – 3)
^{2}+ (y + 1)^{2}= 49 - (3) (x + 3)
^{2}2 + (y – 1)^{2}= 7 - (4) (x + 3)
^{2}+ (y – 1)^{2}= 49

**15. Which scatter diagram shows the strongest positive correlation?**

**17. The accompanying diagram shows the construction of a model of an elliptical orbit of a planet traveling around a star. Point P and the center of the star represent the foci of the orbit.**

**18. The expression i^{16}/i^{3} is equivalent to**

- (1) 1
- (2) –1
- (3)
*i* - (4) –
*i*

**19. If log5 x = 2, what is a value of √x?**

- (1) 2
^{2}/_{5} - (2) √5
- (3) 5
- (4) 25

**20. If the coordinates of point A are (–2,3), what is the image of A under r _{y–axis°} D_{3}?**

- (1) (–6,–9)
- (2) (9,–6)
- (3) (5,6)
- (4) (6,9)

**Mathematics 28 January 2005 Questions Answers Keys**

Mathematics Examination Question |

Scoring Key and Rating Guide |

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