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More Lessons for the Regents High School Exam
More Lessons for Algebra
High School Math based on the topics required for the RegentsExam conducted by NYSED. The following are the worked solutionsfor the Algebra 2/Trigonometry (Common Core) Regents High School ExaminationJanuary 2017.
Algebra 2/Trigonometry Common Core Regents New York State Exam - January 2017, Questions 1 - 39
The following are questions from the past paper
Regents High School Algebra 2/Trigonometry, January 2017 Exam (pdf).
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Algebra 2/Trigonometry - January 2017 Regents - Questions and solutions 1 - 14
1. What is 510° expressed in radian measure?
2. Four surveys are described below. Which survey methodology wouldlead to the least biased conclusion?
(1) One hundred randomly chosen heart surgeons were polled bytelephone about how to get children to eat healthier foods.
(2) A country and western radio station asked one hundred of itslisteners to call a telephone number and answer a question aboutrap music.
(3) From calls made to one hundred randomly generated telephonenumbers, people replied to a question about television shows theywatch.
(4) The first one hundred people who left the World of BaseballBookstore replied to a question about the importance of baseballto society
3. When factored completely, x4 - 13x2 + 36 is equivalent to
4. Which ordered pair is a solution to the system below?
x2 - 4y2 = 16
y = x - 4
5. Three freshmen, five sophom*ores, and four juniors are on the school’schess team. The coach must select three students to attend the citywidetournament. Which expression could be used to determine how manydifferent groups of three students can be made from this team?
6. A survey of high school girls found that the mean number of textmessages sent per day by the girls was 62, with a standard deviationof 12. If a normal distribution is assumed, which interval representsthe number of texts sent by 68.2% of the girls?
7. The expression 93/2 ˙ 271/2is equivalent to
8. The ratio Arc cos1/2 / Arc tan 1 is equal to
9. Which summation will not produce 2 + 4 + 6 + 8 + 10 + 12?
10. The expression 1/3√6(3m √2 - k √3) is equivalent to
11. If log3(x + 1) - log3x = 2, then x equals
12. Which relation is not a function?
13. What is the area of parallelogram ABCD if AB = 4, AD = 5√3, andm∠A = 60?
14. The maximum point on the graph of the equation y = f(x) is(2,3). What is the maximum point on the graph of the equationy = f(x - 4)?
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Algebra 2/Trigonometry - January 2017 Regents - Questions and solutions 15 - 27
15. The formula of the nth term of the sequence 3, -6, 12, -24, 48. . . is
16. The expression 3/(a-1) + 3/(1-a) is equivalent to
17. The product of (2√2 + 5i) and (2√2 - 5i) is
18. Which quadratic equation has roots with a sum of 7/6 and a productof -1/2?
19. The range of the function f(x) = 3|x - 4| - 5 is
20. The graph of the equation y = mx passes through the point
21. If sin θ = 1/2 , and θ terminates in Quadrant II, what is the value ofcscθ ˙ cotθ?
22. A circle has a radius of 12 units. For this circle, which expressionincorrectly states the length of the arc intercepted by the given centralangle?
23. How many different four-letter arrangements can be made from theletters in the word “CHAIRS,” if the same letter may be used onlyonce?
24. The sets below represent test scores for two students in Mrs. Silvio’strigonometry class.
Michelle: {71, 68, 84, 88}
Valerie: {78, 82, 76, 80}
Which statement correctly describes the relationship between the twostudents’ test scores?
25. A support wire 20 meters long runs from the top of a utility pole toa point on the ground 17 meters from the base of the pole. What isthe measure, to the nearest minute, of the angle formed by the poleand the wire?
26. If f(x) = 3x - 2 and f-1(x) = (x+2)/3, then f ⚬ f-1(x) equals
27. The graph of f(x) is shown below. Which graph represents f-1(x)?
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Algebra 2/Trigonometry - January 2017 Regents - Questions and solutions 28 - 39
28. The number of bacteria that grow in a petri dish is approximated by the function G(t) = 500e0.216t,where t is time, in minutes. Use this model to approximate, to the nearest integer, the number ofbacteria present after one half-hour.
29. Determine the exact value of (27/64)-2/3 as a fraction in simplest form.
30. State the conjugate of 7 - √-48 expressed in simplest a + bi form.
31. Express 12x-5y5/24x-3y-2 in simplest form, using only positive exponents.
32. In a theater with 30 rows, the number of seats in a row increases by two with each successive row.The front row has 15 seats. Find the total seating capacity of the theater.
33. Given f(x) = x2 and g(x) = x - 3, express g(f(x + 2)) as a polynomial in simplest form.
34. Sketch an angle of 250° in standard position and then express cos 250° as a cosine function ofa positive acute angle.
35. Solve the inequality x2 - 3x - 4 > 0 algebraically for x.
36. The table below shows the minimum hourly wage, in U.S. dollars, for selected years since 1955. Write the linear regression equation for this set of data, rounding all values to three decimal places.State the strength and direction indicated by the correlation coefficient
37. Solve the system of equations algebraically for x and y:
38. A rocket is shot vertically into the air. Its height, h, at any time, t, in seconds, can be modeledby the equation h = -16t2 + 184t. Determine algebraically, the number of seconds it will takethe rocket to reach a height of 529 feet.
39. Forces of 22 pounds and 43 pounds act on an object at an angle of 52°. Determine, to the nearestpound, the magnitude of the resultant force.Find, to the nearest degree, the angle between the smaller force and the resultant force.
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