# Algebra 2 and Trigonometry - June 2010

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

### June 2010 Algebra 2 and Trigonometry Regents Exam

Algebra 2 and Trigonometry - June 2010 Regents - Q #1

Arithmetic Sequences

What is the common difference of the arithmetic sequence

5, 8, 11, 14?

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

Degrees and Radians

What is the number of degrees in an angle whose radian measure

is (11π)/12?

Algebra 2 and Trigonometry - June 2010 Regents - Q #3

Exponents

If a = 3 and b = −2, what is the value of the expression (a

^{−2}/b

^{−3})?

Algebra 2 and Trigonometry - June 2010 Regents - Q #4

Functions

Four points on the graph of the function f(x) are shown below.

{(0,1), (1,2), (2,4), (3,8)}

Which equation represents f(x)?

Algebra 2 and Trigonometry - June 2010 Regents - Q #5

Functions

The graph of y = f(x) is shown below

Which set lists all the real solutions of f(x) = 0?

Algebra 2 and Trigonometry - June 2010 Regents - Q #6

Simplifying Radicals

In simplest form, sqrt(−300) is equivalent to

Algebra 2 and Trigonometry - June 2010 Regents - Q #7

Combinations

Twenty different cameras will be assigned to several boxes. Three cameras will be randomly selected and assigned to box A. Which expression can be used to calculate the number of ways that three cameras can be assigned to box A?

Algebra 2 and Trigonometry - June 2010 Regents - Q #8

Factoring

Factored completely, the expression 12x

^{4} + 10x

^{3} − 12x

^{2} is equivalent to

Algebra 2 and Trigonometry - June 2010 Regents - Q #9

Discriminant

The solutions of the equation y

^{2} − 3y = 9 are

Algebra 2 and Trigonometry - June 2010 Regents - Q #10

Logarithms

The expression 2 log x − (3 log y + log z) is equivalent to

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