The University of the State of New York REGENTS HIGH ...

1 The University of the State of New YorkREGENTS HIGH SCHOOL EXAMINATIONALGEBRA I( common core )Wednesday,August 17, 2016 8:30 to 11:30 RESPONSE SETT able of ContentsQuestion 25 .. 2 Question 26 .. 7 Question 27 .. 12 Question 28 .. 17 Question 29 .. 21 Question 30 .. 25 Question 31 .. 28 Question 32 .. 32 Question 33 .. 37 Question 34 .. 44 Question 35 .. 50 Question 36 .. 55 Question 37 .. 60 Question 2525 Graph the function y x 3 on the set of axes 2:The student gave a complete and correct I ( common core ) Aug. 16[2]Question 2525 Graph the function y x 3 on the set of axes 2:The student gave a complete and correct I ( common core ) Aug. 16[3]Question 2525 Graph the function y x 3 on the set of axes 1:The student made an error by putting an arrow at ( 3,0). algebra I ( common core ) Aug. 16[4]Question 2525 Graph the function y x 3 on the set of axes 1:The student graphed .yx 3 algebra I ( common core ) Aug. 16[5]Question 2525 Graph the function y x 3 on the set of axes 0:The student gave a completely incorrect I ( common core ) Aug.

2 16[6] algebra I ( common core ) Aug. 16[7]Question 26 Score 2:The student gave a complete and correct Richard is asked to transform the graph of b(x) (x)x The graph of b(x) is transformed using the equation h(x) b(x 2) 3. Describe how the graph of b(x) changed to form the graph of h(x). algebra I ( common core ) Aug. 16[8]Question 26 Score 1:The student confused the horizontal and vertical Richard is asked to transform the graph of b(x) (x)x The graph of b(x) is transformed using the equation h(x) b(x 2) 3. Describe how the graph of b(x) changed to form the graph of h(x). algebra I ( common core ) Aug. 16[9]Question 26 Score 1:The student stated an incorrect direction for the horizontal Richard is asked to transform the graph of b(x) (x)x The graph of b(x) is transformed using the equation h(x) b(x 2) 3. Describe how the graph of b(x) changed to form the graph of h(x). algebra I ( common core ) Aug. 16[10]Question 26 Score 0:The student confused the horizontal and vertical shifts and stated an incorrect directionfor the horizontal Richard is asked to transform the graph of b(x) (x)x The graph of b(x) is transformed using the equation h(x) b(x 2) 3.

3 Describe how the graph of b(x) changed to form the graph of h(x). algebra I ( common core ) Aug. 16[11]Question 26 Score 0:The student wrote a completely incorrect Richard is asked to transform the graph of b(x) (x)x The graph of b(x) is transformed using the equation h(x) b(x 2) 3. Describe how the graph of b(x) changed to form the graph of h(x). algebra I ( common core ) Aug. 16[12]Question 27 Score 2:The student gave a complete and correct Consider the pattern of squares shown below: Which type of model, linear or exponential, should be used to determine how many squares are in the nth pattern? Explain your I ( common core ) Aug. 16[13]Question 27 Score 2:The student gave a complete and correct Consider the pattern of squares shown below: Which type of model, linear or exponential, should be used to determine how many squares are in the nth pattern? Explain your I ( common core ) Aug. 16[14]Question 27 Score 2:The student gave a complete and correct Consider the pattern of squares shown below: Which type of model, linear or exponential, should be used to determine how many squares are in the nth pattern?

4 Explain your I ( common core ) Aug. 16[15]Question 27 Score 1:The student wrote a justification instead of an Consider the pattern of squares shown below: Which type of model, linear or exponential, should be used to determine how many squares are in the nth pattern? Explain your I ( common core ) Aug. 16[16]Question 27 Score 0:The student wrote an incorrect Consider the pattern of squares shown below: Which type of model, linear or exponential, should be used to determine how many squares are in the nth pattern? Explain your I ( common core ) Aug. 16[17]Question 28 Score 2:The student gave a complete and correct When multiplying polynomials for a math assignment, Pat found the product to be 4x 8x2 2x3 5. He then had to State the leading coefficient of this polynomial. Pat wrote down 4. Do you agree with Pat s answer? Explain your I ( common core ) Aug. 16[18]Question 28 Score 1:The student made an error in the last sentence of the When multiplying polynomials for a math assignment, Pat found the product to be 4x 8x2 2x3 5.

5 He then had to State the leading coefficient of this polynomial. Pat wrote down 4. Do you agree with Pat s answer? Explain your I ( common core ) Aug. 16[19]Question 28 Score 1:The student did not realize that the polynomial needs to be in standard form for theirstatement to be When multiplying polynomials for a math assignment, Pat found the product to be 4x 8x2 2x3 5. He then had to State the leading coefficient of this polynomial. Pat wrote down 4. Do you agree with Pat s answer? Explain your I ( common core ) Aug. 16[20]Question 28 Score 0:The student wrote a completely incorrect When multiplying polynomials for a math assignment, Pat found the product to be 4x 8x2 2x3 5. He then had to State the leading coefficient of this polynomial. Pat wrote down 4. Do you agree with Pat s answer? Explain your I ( common core ) Aug. 16[21]Question 29 Score 2:The student gave a complete and correct Is the sum of 32 and 42 rational or irrational?

6 Explain your I ( common core ) Aug. 16[22]Question 29 Score 1:The student made an error when adding and .423229 Is the sum of 32 and 42 rational or irrational? Explain your I ( common core ) Aug. 16[23]Question 29 Score 1:The student did not State that the answer was Is the sum of 32 and 42 rational or irrational? Explain your I ( common core ) Aug. 16[24]Question 29 Score 0:The student wrote an incorrect Is the sum of 32 and 42 rational or irrational? Explain your I ( common core ) Aug. 16[25]Question 30 Score 2:The student gave a complete and correct The graph below shows two functions, f(x) and g(x). State all the values of x for which f(x) g(x).g(x)f(x)xyAlgebra I ( common core ) Aug. 16[26]Question 30 Score 1:The student wrote one correct value for The graph below shows two functions, f(x) and g(x). State all the values of x for which f(x) g(x).g(x)f(x)xyAlgebra I ( common core ) Aug. 16[27]Question 30 Score 0:The student did not State the values of The graph below shows two functions, f(x) and g(x).

7 State all the values of x for which f(x) g(x).g(x)f(x)xyAlgebra I ( common core ) Aug. 16[28]Question 31 Score 2:The student gave a complete and correct Find the zeros of f(x) (x 3)2 49, I ( common core ) Aug. 16[29]Question 31 Score 2:The student gave a complete and correct Find the zeros of f(x) (x 3)2 49, I ( common core ) Aug. 16[30]Question 31 Score 1:The student did not write 7 when taking the square root of Find the zeros of f(x) (x 3)2 49, I ( common core ) Aug. 16[31]Question 31 Score 0:The student wrote a completely incorrect Find the zeros of f(x) (x 3)2 49, I ( common core ) Aug. 16[32]Question 32 Score 2:The student gave a complete and correct Solve the equation below for x in terms of (ax 3) 3ax 25 3aAlgebra I ( common core ) Aug. 16[33]Question 32 Score 2:The student gave a complete and correct Solve the equation below for x in terms of (ax 3) 3ax 25 3aAlgebra I ( common core ) Aug.

8 16[34]Question 32 Score 1:The student made an error when writing the fraction as a mixed Solve the equation below for x in terms of (ax 3) 3ax 25 3aAlgebra I ( common core ) Aug. 16[35]Question 32 Score 1:The student solved the equation correctly for Solve the equation below for x in terms of (ax 3) 3ax 25 3aAlgebra I ( common core ) Aug. 16[36]Question 32 Score 0:The student did not divide both terms on the right side by aand simplified Solve the equation below for x in terms of (ax 3) 3ax 25 3aAlgebra I ( common core ) Aug. 16[37]Question 33 Score 4:The student gave a complete and correct The data table below shows the median diameter of grains of sand and the slope of the beach for 9 naturally occurring ocean Diameter of Grains of Sand, in Millimeters (x) of Beach, in Degrees (y) Write the linear regression equation for this set of data, rounding all values to the nearest thousandth.

9 Using this equation, predict the slope of a beach, to the nearest tenth of a degree, on a beach with grains of sand having a median diameter of I ( common core ) Aug. 16[38]Question 33 Score 4:The student gave a complete and correct The data table below shows the median diameter of grains of sand and the slope of the beach for 9 naturally occurring ocean Diameter of Grains of Sand, in Millimeters (x) of Beach, in Degrees (y) Write the linear regression equation for this set of data, rounding all values to the nearest thousandth. Using this equation, predict the slope of a beach, to the nearest tenth of a degree, on a beach with grains of sand having a median diameter of I ( common core ) Aug. 16[39]Question 33 Score 3:The student wrote an incorrect regression equation, but solved it The data table below shows the median diameter of grains of sand and the slope of the beach for 9 naturally occurring ocean Diameter of Grains of Sand, in Millimeters (x) of Beach, in Degrees (y) Write the linear regression equation for this set of data, rounding all values to the nearest thousandth.

10 Using this equation, predict the slope of a beach, to the nearest tenth of a degree, on a beach with grains of sand having a median diameter of I ( common core ) Aug. 16[40]Question 33 Score 2:The student wrote an incorrect equation and solved it appropriately, but labeled the solution in The data table below shows the median diameter of grains of sand and the slope of the beach for 9 naturally occurring ocean Diameter of Grains of Sand, in Millimeters (x) of Beach, in Degrees (y) Write the linear regression equation for this set of data, rounding all values to the nearest thousandth. Using this equation, predict the slope of a beach, to the nearest tenth of a degree, on a beach with grains of sand having a median diameter of I ( common core ) Aug. 16[41]Question 33 Score 2:The student wrote an exponential regression equation, but solved it The data table below shows the median diameter of grains of sand and the slope of the beach for 9 naturally occurring ocean Diameter of Grains of Sand, in Millimeters (x) of Beach, in Degrees (y) Write the linear regression equation for this set of data, rounding all values to the nearest thousandth.