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IMAGES OF JANUARY 2016 ALGEBRA 2 TRIG REGENTS SOLUTIONS
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  1. Problem 3
    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. January 2016 algebra 2 trig new york regents 4 Which relation does not represent a function?
    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. 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
    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. NYS Regents 2016 January algebra 2 Solutions 6 The expression is equivalent to
    Problem 6
    NYS Regents 2016 January algebra 2 Solutions 6 The expression is equivalent to
  5. 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
    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. 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
    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. 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
    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. 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
    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
    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. 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)
    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. 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
    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. 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
    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. 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
    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. 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
    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. 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
    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. 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.
    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. 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
    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. 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
    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. 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
    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. 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
    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. 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 __
    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. NYS Regents 2016 January algebra 2 Solutions
    Title 22
    NYS Regents 2016 January algebra 2 Solutions
  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
    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. 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
    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. 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)
    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. 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
    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. 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
    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. NYS Regents 2016 January algebra 2 Solutions 28 Solve algebraically for x: 2x 1 1 1 4 5 8
    Title 28
    NYS Regents 2016 January algebra 2 Solutions 28 Solve algebraically for x: 2x 1 1 1 4 5 8
  29. NYS Regents 2016 January algebra 2 Solutions 29 Factor completely: x3   3x2   2x   6
    Title 29
    NYS Regents 2016 January algebra 2 Solutions 29 Factor completely: x3 3x2 2x 6
  30. NYS Regents 2016 January algebra 2 Solutions 30 Solve algebraically for the exact value of x: log816  x   1
    problem 30
    NYS Regents 2016 January algebra 2 Solutions 30 Solve algebraically for the exact value of x: log816  x 1
  31. NYS Regents 2016 January algebra 2 Solutions Determine how many eleven-letter arrangements can be formed from the word “CATTARAUGUS.”
    Title 31
    NYS Regents 2016 January algebra 2 Solutions Determine how many eleven-letter arrangements can be formed from the word “CATTARAUGUS.”
  32. NYS Regents 2016 January algebra 2 Solutions 32 Express 130° in radian measure, to the nearest hundredth.
    problem 32
    NYS Regents 2016 January algebra 2 Solutions 32 Express 130° in radian measure, to the nearest hundredth.
  33. NYS Regents 2016 January algebra 2 Solutions 33 Determine the area, to the nearest integer, of SRO shown below.
    Problem 33
    NYS Regents 2016 January algebra 2 Solutions 33 Determine the area, to the nearest integer, of SRO shown below.
  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
    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. 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 .
    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. NYS Regents 2016 January algebra 2 Solutions 36 Find the exact roots of x2   10x  8  0 by completing the square.
    Title 36
    NYS Regents 2016 January algebra 2 Solutions 36 Find the exact roots of x2 10x  8  0 by completing the square.
  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.]
    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. NYS Regents 2016 January algebra 2 Solutions38 Solve the equation cos 2x  cos x algebraically for all values of x in the interval 0° ≤ x 360°.
    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. NYS Regents 2016 January algebra 2 Solutions
    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
    une 2016 NYS Algebra 2 Common Core Regents exam solutions  when b>o and d is a positive integer the expression is equivalent
  2. Problem 2
    June 2016 NYS Algebra 2 Common Core Regents exam solutions  Julie averaged 85 on the first three tests of the smester in her mathematics class. If she scores 93 on each of the remaining tests her average will be 90 which equation could be used to determine how many test T
  3. Problem 3
    June 2016 NYS Algebra 2 Common Core Regents exam solutions Given i is the imaginar 2-yi in simplest form
  4. Title 4
    June 2016 NYS Algebra 2 Common Core Regents exam solutions  Which graphs has the following characteristics three real zeros
  5. Problem 5
    June 2016 NYS Algebra 2 Common Core Regents exam solutions  The solution set for the equation