Jan 2016 NYS Algebra 2/ Trig Regents Exam pt 4 # 16 to 20 solutions Tips Tricks HD

1 A survey is to be conducted in a small upstate village to determine computations. whether or not local residents should fund construction of a skateboard park by raising taxes. Which segment of the population would provide the most unbiased responses? (1) a club of local skateboard enthusiasts (2) senior citizens living on fixed incomes (3) a group opposed to any increase in taxes (4) every tenth person 18 years of age or older walking downMain St. 2 Which angle does not terminate in Quadrant IV when drawn on a unit circle in standard position? (1) 300° (3) 280° (2) 50° (4) 1030° 3 The expression is equivalent to (1) 3 __ 2 (3) _3_x_y_ 2 (2) _ 3x __y_ 2xy (4) _ 3x __y_ 2 1 3 2 x y xy 1 Algebra 2/Trigonometry – Jan. ’16 [2] Use this space for 4 Which relation does not represent a function? computations. 5 In the diagram below, the spinner is divided into eight equal regions. Which expression represents the probability of the spinner landing on B exactly three times in five spins? (1) 8C3(1 __ 5 )3(4 __ 5 )5 (3) 5C3(1 __ 8 )2(7 __ 8 )3 (2) 8C3(1 __ 5 )5(4 __ 5 )3 (4) 5C3(1 __ 8 )3(7 __ 8 )2 C B F G E H D A (2) (1) (3) (4) 3 5 7 Domain 4 6 8 Range 3 5 7 Domain 4 6 8 Range 3 5 7 Domain 4 6 8 Range 3 5 7 Domain 4 6 8 Range Algebra 2/Trigonometry – Jan. ’16 [3] [OVER] 6 The expression is equivalent to (1) (3) (2) (4) 7 The amount of money in an account can be determined by the formula A Pert, where P is the initial investment, r is the annual interest rate, and t is the number of years the money was invested. What is the value of a $5000 investment after 18 years, if it was invested at 4% interest compounded continuously? (1) $9367.30 (3) $10,129.08 (2) $9869.39 (4) $10,272.17 8 What is expressed as a single fraction? (1) (3) (2) (4) 2 1 2 1 x x 2 ( 2 ) 2 1 2 1 x x 1 ( 2 ) 2 1 2 2 x x 2 2 x x 1 2 1 1 x x2 2 x 2 1 1 2 2 3 3 3 2 2 b c a 3 6 5 3 b c a 3 9 6 18 b c a 3 2 3 2 bc a 3 27 6 3 2 a2 b c Use this space for computations. Algebra 2/Trigonometry – Jan. ’16 [4] Use this space for 9 What is the total number of points of intersection of the graphs of computations. the equations 2x2 y2 8 and y x 2? (1) 1 (3) 3 (2) 2 (4) 0 10 Given the sequence: x, (x y), (x 2y),… Which expression can be used to determine the common difference of this sequence? (1) x (x y) (3) (2) (x 2y) (x y) (4) 11 In a circle with a diameter of 24 cm, a central angle of _4_π_ 3 radians intercepts an arc. The length of the arc, in centimeters, is (1) 8π (3) 16π (2) 9π (4) 32π 12 Which graph is the solution to the inequality 4|2x 6| 5 27? –9 –7 –5 –3 –1 1 3 5 –9 –7 –5 –3 –1 1 3 5 –9 –7 –5 –3 –1 1 3 5 (1) (2) (3) (4) –9 –7 –5 –3 –1 1 3 5 ( ) ( ) x y x y 1 1 2 x (x1y) Algebra 2/Trigonometry – Jan. ’16 [5] [OVER] Use this space for 13 What is the sum of the roots of the equation 3x2 6x 2 0? computations. (1) 2 __ 3 (3) 2 __ 3 (2) 2 (4) 2 14 The scores of 1000 students on a standardized test were normally distributed with a mean of 50 and a standard deviation of 5.