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$JEFFERSON MATH PROJECT REGENTS BY CHAPTER - JMap$

Math B Regents Exam Questions by <strong>Type</strong> - Multiple Choice Page 31 www.jmap.org 270. On a trip, a student drove 40 miles per hour for 2 hours and then drove 30 miles per hour for 3 hours. What is the student's average rate of speed, in miles per hour, for the whole trip? [A] 37 [B] 34 [C] 36 [D] 35 271. Which transformation is not an isometry? [A] T 36 , [B] r y= x [C] D 2 [D] R 090 , ° 272. What is the value of x in the equation x+ 2 5x+ 4 81 = 27 ? [A] − 4 11 [B] 4 11 273. The expression ( b n+ ) n n b ⋅b [A] bn 2 2 1 3 4 + 3 [C] − 2 11 [D] − 3 2 is equivalent to [B] b − 3n+ 1 [C] b n [D] b −3n 276. If f ( x) = 1 , the domain of f x 2x − 4 [A] x > 2 [B] x < 2 [C] x ≥ 2 [D] x = 2 277. A modulated laser heats a diamond. Its variable temperature, in degrees Celsius, is given by f () t = Tsinat. What is the period of the curve? [A] 2π [B] T [C] 2a π [D] 1 a a a 278. The graph below represents f(x). Which graph best represents f(-x)? [A] [B] 274. In the accompanying diagram, HK bisects IL and ∠H ≅∠K. [C] [D] 279. Which transformation is a direct isometry? [A] r y− axis [B] D 2 [C] T 25 , [D] D −2 What is the most direct method of proof that could be used to prove ΔHIJ ≅ ΔKLJ ? [A] SAS ≅ SAS [C] ASA ≅ ASA [B] HL ≅ HL [D] AAS ≅ AAS 275. Impedance measures the opposition of an electrical circuit to the flow of electricity. The total impedance in a particular circuit is ZZ given by the formula Z = 1 2 T . What is Z1+ Z2 the total impedance of a circuit, Z T , if Z1 = 1+ 2i and Z2 = 1− 2i? 280. Which expression is equivalent to the x complex fraction x + 2 ? x 1− x + 2 [A] 2 2x 2x [B] [C] [D] 2 x x + 4 x + 2 281. What is the last term in the expansion of ( x+ 2y) 5 ? [A] y 5 [B] 2y 5 [C] 10y 5 [D] 32y 5 x 2 [A] 1 [B] 0 [C] − 3 2 [D] 5 2
Math B Regents Exam Questions by <strong>Type</strong> - Multiple Choice Page 32 www.jmap.org 282. The accompanying diagram shows a section of a sound wave as displayed on an oscilloscope. Which equation could represent this graph? x [A] y = 2 cos [B] y = 1 cos2x 2 2 [C] y = 1 sin π x 2 2 x [D] y = 2 sin 2 283. If θ is an acute angle such that sin θ = 5 , 13 what is the value of sin 2θ ? [A] 12 13 [B] 120 169 [C] 60 169 [D] 10 26 284. In which quadrant would the image of point (5,-3) fall after a dilation using a factor of -3? [A] IV [B] II [C] III [D] I 285. In the accompanying diagram, PR is tangent to circle O at R, QS⊥ OR, and PR⊥ OR. 286. The magnitude (R) of an earthquake is related I to its intensity (I) by R = log( ), where T is T the threshold below which the earthquake is not noticed. If the intensity is doubled, its magnitude can be represented by [A] log 2 + log I - log T [B] log I - log T [C] 2 log I - log T [D] 2(log I - log T) 287. A cellular telephone company has two plans. Plan A charges $11 a month and $0.21 per minute. Plan B charges $20 a month and $0.10 per minute. After how much time, to the nearest minute, will the cost of plan A be equal to the cost of plan B? [A] 1 hr 22 m [B] 81 hr 8 min [C] 81 hr 48 min [D] 1 hr 36 min 288. Which transformation is an opposite isometry? [A] line reflection [B] rotation of 90° [C] dilation [D] translation 289. A certain radio wave travels in a path represented by the equation y = 5sin 2x. What is the period of this wave? [A] π [B] 2π [C] 5 [D] 2 290. What is the equation of a parabola that goes through points (0,1), (-1,6), and (2,3)? 2 2 [A] y = x + 1 [B] y = 2x − 3x+ 1 2 [C] y = 2x + 1 2 [D] y = x − 3x+ 1 Which measure represents sin θ ? [A] PR [B] SO [C] RO [D] QS 291. The national mean for verbal scores on an exam was 428 and the standard deviation was 113. Approximately what percent of those taking this test had verbal scores between 315 and 541? [A] 38.2% [B] 26.4% [C] 52.8% [D] 68.2%
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