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More Questions, Worked Solutions and Revision Resources for the Math Regents Examination

Math Worksheets

High School Math based on the topics required for the Regents Exam conducted by NYSED. The following are the worked solutions for the Algebra 2 and Trigonometry Regents High School Examination June 2010.

Download the questions for 2010 Algebra2 /Trigonometry Fall Sampler Regents Exam.

Algebra 2 and Trigonometry - June 2010 Regents - Q #21

Linear Regression

Which value of *r* represents data with a strong negative linear correlation between two variables?

Algebra 2 and Trigonometry - June 2010 Regents - Q #22

Domain, Range, and Graphing Inverse Trig Functions

The function f(x) = tan x is defined in such a way that f^{−1}(x) is a function. What can be the domain of f(x)?

Algebra 2 and Trigonometry - June 2010 Regents - Q #23

Cosine, and Degrees Minutes & Seconds

In the diagram below of right triangle KTW, KW = 6, KT = 5, and m∠KTW = 90. What is the measure of ∠K, to the nearest minute?

Algebra 2 and Trigonometry - June 2010 Regents - Q #24

Double Angles

The expression cos^{2}θ − cos 2θ is equivalent to

Algebra 2 and Trigonometry - June 2010 Regents - Q #25

Summations

Mrs. Hill asked her students to express the sum 1 + 3 + 5 + 7 + 9 + . . . + 39 using sigma notation. Four different student answers were given. Which student answer is correct?

Algebra 2 and Trigonometry - June 2010 Regents - Q #26

Geometric Sequences

What is the formula for the nth term of the sequence 54, 18, 6, . . .?

Algebra 2 and Trigonometry - June 2010 Regents - Q #27

Graphing Trig Functions and the Period

What is the period of the function y = 1/2 sin (x/3 − π)?

Algebra 2 and Trigonometry - June 2010 Regents - Q #28

Discriminant

Use the discriminant to determine all values of k that would result in the equation x^{2} − kx + 4 = 0 having equal roots.

Algebra 2 and Trigonometry - June 2010 Regents - Q #29

Standard Deviation

The scores of one class on the Unit 2 mathematics test are shown in the table below. Find the population standard deviation of these scores, to the nearest tenth.

Algebra 2 and Trigonometry - June 2010 Regents - Q #30

Quadratic Equation

Find the sum and product of the roots of the equation 5x^{2}+ 11x − 3 = 0.

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