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The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION
ALGEBRA II (Common Core)
Friday, June 16, 2017 — 1:15 to 4:15 p.m.
MODEL RESPONSE SET
Table of Contents
Question 25................... 2 Question 26................... 7 Question 27.................. 12 Question 28.................. 17 Question 29.................. 21 Question 30.................. 26 Question 31.................. 30 Question 32.................. 36 Question 33.................. 40 Question 34.................. 47 Question 35.................. 53 Question 36.................. 59 Question 37.................. 67
25 Given r ( x ) = x^3 - 4 x^2 + 4 x - 6, find the value of r (2).
What does your answer tell you about x - 2 as a factor of r ( x )? Explain.
Score 2: The student gave a complete and correct response.
25 Given r ( x ) = x^3 - 4 x^2 + 4 x - 6, find the value of r (2).
What does your answer tell you about x - 2 as a factor of r ( x )? Explain.
Score 1: The student gave an incomplete explanation.
25 Given r ( x ) = x^3 - 4 x^2 + 4 x - 6, find the value of r (2).
What does your answer tell you about x - 2 as a factor of r ( x )? Explain.
Score 1: The student stated a correct explanation based on an incorrect value.
26 The weight of a bag of pears at the local market averages 8 pounds with a standard deviation of 0.5 pound. The weights of all the bags of pears at the market closely follow a normal distribution. Determine what percentage of bags, to the nearest integer , weighed less than 8.25 pounds.
Score 2: The student gave a complete and correct response.
26 The weight of a bag of pears at the local market averages 8 pounds with a standard deviation of 0.5 pound. The weights of all the bags of pears at the market closely follow a normal distribution. Determine what percentage of bags, to the nearest integer , weighed less than 8.25 pounds.
Score 2: The student gave a complete and correct response.
26 The weight of a bag of pears at the local market averages 8 pounds with a standard deviation of 0.5 pound. The weights of all the bags of pears at the market closely follow a normal distribution. Determine what percentage of bags, to the nearest integer , weighed less than 8.25 pounds.
Score 1: The student made a rounding error.
26 The weight of a bag of pears at the local market averages 8 pounds with a standard deviation of 0.5 pound. The weights of all the bags of pears at the market closely follow a normal distribution. Determine what percentage of bags, to the nearest integer , weighed less than 8.25 pounds.
Score 0: The student gave an incorrect response.
27 Over the set of integers, factor the expression 4 x^3 - x^2 + 16 x - 4 completely.
Score 1: The student made a conceptual error by finding roots.
27 Over the set of integers, factor the expression 4 x^3 - x^2 + 16 x - 4 completely.
Score 1: The student wrote x^2 (^4 x^ -^1 )^ +4 4( x^ -^ 1 ,)^ but showed no further correct work.
27 Over the set of integers, factor the expression 4 x^3 - x^2 + 16 x - 4 completely.
Score 0: The student made multiple factoring errors.
28 The graph below represents the height above the ground, h , in inches, of a point on a triathlete’s bike wheel during a training ride in terms of time, t , in seconds.
26
2 3
4 3
6 3
Height Above the Ground (in)
Time (sec)
Identify the period of the graph and describe what the period represents in this context.
Score 2: The student gave a complete and correct response.
28 The graph below represents the height above the ground, h , in inches, of a point on a triathlete’s bike wheel during a training ride in terms of time, t , in seconds.
26
2 3
4 3
6 3
Height Above the Ground (in)
Time (sec)
Identify the period of the graph and describe what the period represents in this context.
Score 1: The student gave an incomplete description.
28 The graph below represents the height above the ground, h , in inches, of a point on a triathlete’s bike wheel during a training ride in terms of time, t , in seconds.
26
2 3
4 3
6 3
Height Above the Ground (in)
Time (sec)
Identify the period of the graph and describe what the period represents in this context.
Score 0: The student gave a completely incorrect response.
