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IMAGES OF JANUARY 2016 ALGEBRA 2 TRIG REGENTS SOLUTIONS
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1. Problem 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
2. Problem 4 Which relation does not represent a function?
January 2016 algebra 2 trig new york regents 4 Which relation does not represent a function?
3. problem 5
NYS Regents 2016 January algebra 2 Solutions in the diagram below the spinner is divided 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
4. Problem 6
NYS Regents 2016 January algebra 2 Solutions 6 The expression is equivalent to
5. Problem 7
NYS Regents 2016 January algebra 2 Solutions 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
6. Problem 8
NYS Regents 2016 January algebra 2 Solutions 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
7. Problem 9
NYS Regents 2016 January algebra 2 Solutions 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
8. Problem 10
NYS Regents 2016 January algebra 2 Solutions 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
9. Problem 1
NYS Regents 2016 January algebra 2 Solutions A survey in a small upstate village to determine whether or not local residents should fund construction of a skateboard park by raising taxes
10. Title 10
NYS Regents 2016 January algebra 2 Solutions 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)
11. Title 11
NYS Regents 2016 January algebra 2 Solutions 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. Title 12
NYS Regents 2016 January algebra 2 Solutions 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
13. Title 13
NYS Regents 2016 January algebra 2 Solutions 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. Title 14
NYS Regents 2016 January algebra 2 Solutions 14 The scores of 1000 students on a standardized test were normally distributed with a mean of 50 and a standard deviation of 5. What is the expected number of students who had scores greater than 60? (1) 1.7 (3) 46 (2) 23 (4) 304
15. Problem 15
NYS Regents 2016 January algebra 2 Solutions 15 If T  10x2 ____ y , then log T is equivalent to (1) (1 2log x)  log y (3) (1  2log x) log y (2) log(1 2x)  log y (4) 2(1  log x) log y
16. Problem 16
NYS Regents 2016 January algebra 2 Solutions 16 Which statement regarding correlation is not true? (1) The closer the absolute value of the correlation coefficient is to one, the closer the data conform to a line. (2) A correlation coefficient measures the strength of the linear relationship between two variables. (3) A negative correlation coefficient indicates that there is a weak relationship between two variables. (4) A relation for which most of the data fall close to a line is considered strong.
17. Title 17
NYS Regents 2016 January algebra 2 Solutions 18 The roots of the equation 4(x2  1)  3x are (1) imaginary (3) real, rational, unequal (2) real, rational, equal (4) real, irrational, unequal
18. Title 18
NYS Regents 2016 January algebra 2 Solutions18 The roots of the equation 4(x2  1)  3x are (1) imaginary (3) real, rational, unequal (2) real, rational, equal (4) real, irrational, unequal
19. Title 19
NYS Regents 2016 January algebra 2 Solutions 19 If f(x)  2x2  3x 4, then f(x 3) is equal to (1) 2x2  3x 7 (3) 2x2 9x 13 (2) 2x2  3x 13 (4) 2x2 9x 25
20. Problem 20
NYS Regents 2016 January algebra 2 Solutions The expression x(3i2)3 2xi12 is equivalent to (1) 2x 27xi (3) 25x (2) 7x (4) 29x
21. problem 21
NYS Regents 2016 January algebra 2 Solutions 21 If the terminal side of angle θ passes through the point (3,4), what is the value of sec θ? (1) 5 __ 3 (3) 5 __ 4 (2)  5 __ 3 (4)  5 __
22. Title 22
NYS Regents 2016 January algebra 2 Solutions
23. Title 23
NYS Regents 2016 January algebra 2 Solutions 23 What is the third term of the recursive sequence below? a1  6 an  1 __ 2 an  1  n (1) 1_1_ 2 (3) 1 __ 2 (2)  5 __ 2 (4) 4
24. Title 24
NYS Regents 2016 January algebra 2 Solutions 24 What is the equation of a circle with its center at (0,2) and passing through the point (3,5)? (1) x2 (y 2)2  9 (3) x2 (y 2)2  18 (2) (x 2)2 y2  9 (4) (x 2)2 y2  18
25. Title 25
NYS Regents 2016 January algebra 2 Solutions 25 If angles A and B are complementary, then sec B equals (1) csc(90°  B) (3) cos(B  90°) (2) csc(B  90°) (4) cos(90°  B)
26. Title 26
NYS Regents 2016 January algebra 2 Solutions 26 The legs of a right triangle are represented by and . The length of the hypotenuse of the right triangle is represented by
27. Title 27
NYS Regents 2016 January algebra 2 Solutions 27 What are the amplitude and the period of the graph represented by the equation y  3cos θ __ 3 ? (1) amplitude: 3; period: π __ 3 (2) amplitude: 3; period: 6π (3) amplitude: 3; period: π __ 3 (4) amplitude: 3; period: 6π
28. Title 28
NYS Regents 2016 January algebra 2 Solutions 28 Solve algebraically for x: 2x 1 1 1 4 5 8
29. Title 29
NYS Regents 2016 January algebra 2 Solutions 29 Factor completely: x3 3x2 2x 6
30. problem 30
NYS Regents 2016 January algebra 2 Solutions 30 Solve algebraically for the exact value of x: log816  x 1
31. Title 31
NYS Regents 2016 January algebra 2 Solutions Determine how many eleven-letter arrangements can be formed from the word “CATTARAUGUS.”
32. problem 32
NYS Regents 2016 January algebra 2 Solutions 32 Express 130° in radian measure, to the nearest hundredth.
33. Problem 33
NYS Regents 2016 January algebra 2 Solutions 33 Determine the area, to the nearest integer, of SRO shown below.
34. Title 34
NYS Regents 2016 January algebra 2 Solutions 34 Prove that the equation shown below is an identity for all values for which the functions are defined: csc θ • sin2 θ • cot θ  cos θ
35. Title 35
NYS Regents 2016 January algebra 2 Solutions 35 Find the difference when 4 __ 3 x3  5 __ 8 x2 7 __ 9 x is subtracted from 2x3 3 __ 4 x2  2 __ 9 .
36. Title 36
NYS Regents 2016 January algebra 2 Solutions 36 Find the exact roots of x2 10x  8  0 by completing the square.
37. Title 37
NYS Regents 2016 January algebra 2 Solutions 37 The table below gives the relationship between x and y. Use exponential regression to find an equation for y as a function of x, rounding all values to the nearest hundredth. Using this equation, predict the value of x if y is 426.21, rounding to the nearest tenth. [Only an algebraic solution can receive full credit.]
38. Title 38
NYS Regents 2016 January algebra 2 Solutions 38 Solve the equation cos 2x  cos x algebraically for all values of x in the interval 0° ≤ x 360°.
39. Title 39
NYS Regents 2016 January algebra 2 Solutions Given: DC  10, AG  15, BE  6, FE  10, m∠ABG  40, m∠GBD  90, m∠C  90, BE ___  ED ___ , and GF ___  FB ___ Find m∠A to the nearest tenth. Find BC to the nearest tenth. G B
IMAGES OF JUNE 2016 ALGEBRA 2 COMMON CORE SOLUTIONS
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1. Problem 2. Problem 2 3. Problem 3 4. Title 4 5. Problem 5 