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$JEFFERSON MATH PROJECT REGENTS BY CHAPTER - JMap$

Math B Regents Exam Questions by <strong>Type</strong> - Multiple Choice Page 27 www.jmap.org 226. A bug travels up a tree, from the ground, over a 30-second interval. It travels fast at first and then slows down. It stops for 10 seconds, then proceeds slowly, speeding up as it goes. Which sketch best illustrates the bug's distance (d) from the ground over the 30- second interval (t)? [A] [C] 16 [B] [D] 227. The expression i is equivalent to 3 i [A] 1 [B] -i [C] i [D] -1 228. The new corporate logo created by the design engineers at Magic Motors is shown in the accompanying diagram. 230. Jean's scores on five mathematics tests were 98, 97, 99, 98, and 96. Her scores on five English tests were 78, 84, 95, 72, and 79. Which statement is true about the standard deviations for the scores? [A] The standard deviation for the English scores is greater than the standard deviation for the math scores. [B] The standard deviations for both sets of scores are equal. [C] More information is needed to determine the relationship between the standard deviations. [D] The standard deviation for the math scores is greater than the standard deviation for the English scores. 231. What is the total number of distinct triangles that can be constructed if AC = 13, BC = 8, and m∠ A=36? [A] 2 [B] 1 [C] 0 [D] 3 2 232. In the equation ax + 6x − 9= 0, imaginary roots will be generated if [A] a > -1, only [B] a < -1 [C] -1 < a < 1 [D] a < 1, only If chords BA and BC are congruent and mBC = 140, what is m∠ B? [A] 140 [B] 280 [C] 80 [D] 40 229. Which expression is not equivalent to log 36 b ? [A] 2log b 6 [B] log 9+ log 4 [C] log b 72 − logb2 [D] 6log b 2 b b 233. If n C r represents the number of combinations of n items taken r at a time, what is the value of ∑ 4C r ? 3 r=1 [A] 4 [B] 24 [C] 6 [D] 14 234. The path traveled by a roller coaster is modeled by the equation y = 27 sin 13x+ 30. What is the maximum altitude of the roller coaster? [A] 13 [B] 27 [C] 30 [D] 57
Math B Regents Exam Questions by <strong>Type</strong> - Multiple Choice Page 28 www.jmap.org 235. The expression 2 cosθ sin2θ is equivalent to [A] csc θ [B] sec θ [C] cot θ [D] sin θ 236. The amount of ketchup dispensed from a machine at Hamburger Palace is normally distributed with a mean of 0.9 ounce and a standard deviation of 0.1 ounce. If the machine is used 500 times, approximately how many times will it be expected to dispense 1 or more ounces of ketchup? [A] 100 [B] 80 [C] 16 [D] 5 2 237. The roots of the equation 2x − 5= 0 are [A] real, rational, and equal [B] imaginary [C] real and irrational [D] real, rational, and unequal 238. The expression cos 40° cos 10° + sin 40° sin 10° is equivalent to [A] cos 30° [B] cos 50° [C] sin 50° [D] sin 30° 239. In the equation log x4+ log x9= 2, x is equal to 242. The strength of a medication over time is − x represented by the equation y = 200(.) 15 , where x represents the number of hours since the medication was taken and y represents the number of micrograms per millimeter left in the blood. Which graph best represents this relationship? [A] [C] [B] [D] 2 243. If f( x) =− 2x+ 7 and g( x) = x −2 , then f(g(3)) is equal to [A] 7 [B] -3 [C] -7 [D] -1 244. Which angle is coterminal with an angle of 125°? [A] -235° [B] 425° [C] -125° [D] 235° 245. In the accompanying diagram of ΔABC, AB ≅ AC, BD = 1 BA, and CE = 1 CA. 3 3 [A] 65 . [B] 6 [C] 18 [D] 13 2 240. If f( x) = 2x + 4 and g( x) = x−3 , which number satisfies f( x) = ( f g)( x)? [A] 4 [B] 3 2 [C] 3 4 [D] 5 241. Two straight roads intersect at an angle whose measure is 125°. Which expression is equivalent to the cosine of this angle? [A] cos 55° [B] -cos 35° [C] -cos 55° [D] cos 35° Triangle EBC can be proved congruent to triangle DCB by [A] SSS ≅ SSS [B] HL ≅ HL [C] ASA ≅ ASA [D] SAS ≅ SAS
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