# 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 12x4 + 10x3 − 12x2 is equivalent to

Algebra 2 and Trigonometry - June 2010 Regents - Q #9
Discriminant
The solutions of the equation y2 − 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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