Mathematics 26 January 2010 Questions Answer Keys

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

REGENTS HIGH SCHOOL EXAMINATION

MATHEMATICS B

Tuesday, January 26, 2010 — 9:15 a.m. to 12:15 p.m., only

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**1. If √x- 4 = 7, what is the value of x?**

- (1) 11
- (2) 18
- (3) 45
- (4) 53

**2. The coordinates of ABC are A(1,1), B(2,3), and C(3,1). If ΔA′B′C′ is the result of the transformation D _{2} º r_{y-axis }, then A′B′C′ is**

- (1) similar to ΔABC
- (2) congruent to ΔABC
- (3) a right triangle
- (4) an equilateral triangle

**3. What is the value of**

- (1) 10
- (2) 13
- (3) 30
- (4) 60

**4. An equation of a parabola that has x = −2 as its axis of symmetry is**

- (1) y = x
^{2}− 4x + 1 - (2) y = x
^{2}− 2x + 3 - (3) y = 2x
^{2}+ 8x − 3 - (4) y = 2x
^{2}+ 4x − 7

**5. What is the solution set for the equation ⎟3 − 2x⎟ = 5?**

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

**6. A central angle of **^{4π}⁄^{15 }**radians intercepts an arc whose degree measure is**

- (1) 48
- (2) 72
- (3) 96
- (4)
^{4π}⁄^{15}

**7. If cos 2θ = 1, a value of θ is **

- (1) 45°
- (2) 90°
- (3) 180°
- (4) 270°

**8. If cos x = −0.7 and csc x > 0, the terminal side of angle x is located in Quadrant**

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

**9. The graph of the equation xy = 12 is best described as**

- (1) a circle
- (2) two lines
- (3) an ellipse
- (4) a hyperbola

**10. The image of function f(x) is found by mapping each point on the function (x,y) to the point (y,x). This image is a reflection of f(x) in**

- (1) the x-axis
- (2) the y-axis
- (3) the line whose equation is y = x
- (4) the line whose equation is y = −x

**11. What is the inverse of the function y = 3x − 2?**

**12. Which equation represents the circle whose center is (3,−1) and whose radius is √6 ?**

- (1) (x + 3)² + (y − 1)² = 36
- (2) (x − 3)² + (y + 1)² = 36
- (3) (x + 3)² + (y − 1)² = 6
- (4) (x − 3)² + (y + 1)² = 6

**13. Which expression is equivalent to **

**14. If log x = 3 log a − log b, then x is equal to**

**15. Which expression is equivalent to b in the equation **

**16. In the binomial expansion of (x + y) ^{8}, what is the coefficient of the termcontaining x^{3}y^{5}?**

- (1) 15
- (2) 28
- (3) 56
- (4) 70

**17. If R is inversely proportional to A, and R = 4 when A = 100, what is the value of R when A = 250?**

- (1) 0.625
- (2) 1.6
- (3) 10
- (4) 6,250

**18. If m∠A = 35, b = 3, and a = 4, how many different triangles can be constructed?**

- (1) No triangles can be constructed.
- (2) two triangles
- (3) one right triangle, only
- (4) one obtuse triangle, only

**19. In a right triangle where one of the angles measures 30°, what is the ratio of the length of the side opposite the 30° angle to the length of the side opposite the 90° angle?**

- (1) 1:√2
- (2) 1:2
- (3) 1:3
- (4) 1:√3

**20. If zero is the value of the discriminant of the equation ax ^{2} + bx + c = 0, which graph best represents y = ax^{2} + bx + c?**

**Mathematics 26 January 2010 Questions Answers Keys**

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