Algebra 2/Trigonometry Regents Practice Questions

Question 1 of 10

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The roots of the equation \(2x^2+ 4 = 9x\) are

Select one of the following:

  • real, rational, and equal

  • real, rational, and unequal

  • real, irrational, and unequal

  • imaginary

Question 2 of 10

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What is the middle term in the expansion of \(\left(\frac{x}{2} - 2y \right)^6 \)?

Select one of the following:

  • \(20 x^3 y^3\)

  • \(-\frac{15}{4} x^4 y^2\)

  • \(-20 x^3 y^3\)

  • \(\frac{15}{4} x^4 y^2\)

Question 3 of 10

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Which summation represents 5 + 7 + 9 + 11 … + 43?

Select one of the following:

  • \(\sum \limits_{n=5}^{43} n\)

  • \(\sum \limits_{n=1}^{20} 2n + 3\)

  • \(\sum \limits_{n=4}^{24} 2n -3 \)

  • \(\sum \limits_{n=1}^{23} 3n - 4\)

Question 4 of 10

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In \(\triangle DEF\), \(d = 5\), \(e = 8\), and \(m\angle D = 32\). How many distinct triangles can be drawn given these measurements?

Select one of the following:

  • 1

  • 2

  • 3

  • 0

Question 5 of 10

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Which equation represents a graph that has a period of \(4\pi\)?

Select one of the following:

  • \( y = 3 \sin \frac{1}{2}x\)

  • \( y = 3 \sin 2x \)

  • \( y = 3 \sin \frac{1}{4}x\)

  • \( y = 3 \sin 4x\)

Question 6 of 10

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Which graph represents the solution set of \(\frac{x+16}{x-2} \le 7\)

Select one of the following:

  • \(x - 11 \)

  • \( 11 - x \)

  • \(\frac{1}{x-11}\)

  • \(\frac{1}{11-x}\)

Question 7 of 10

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Given angle A in Quadrant I with \(\sin A = \frac{12}{13}\) and angle B in Quadrant II with \(\cos B = - \frac{3}{5}\) , what is the value of \(\cos (A - B)\)?

Select one of the following:

  • \(\frac{33}{65}\)

  • \(-\frac{33}{65}\)

  • \(\frac{63}{65}\)

  • \(-\frac{63}{65}\)

Question 8 of 10

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In parallelogram \(BFLO\), \(OL = 3.8\), \(LF = 7.4\), and \(m\angle O = 126\). If diagonal \(\overline{BL}\) is drawn, what is the area of \(\triangle BLF\)?

Select one of the following:

  • 11.4

  • 14.1

  • 22.7

  • 28.1

Question 9 of 10

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What is the range of \(f(x) = | x - 3 | + 2\)?

Select one of the following:

  • \( \left\{ x | x \ge 3 \right\} \)

  • \( \left\{ x | x \in real numbers \right\} \)

  • \( \left\{y | y \in real numbers\right\} \)

  • \( \left\{ y | y \ge 2 \right\} \)

Question 10 of 10

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Which function is one-to-one?

Select one of the following:

  • \(f(x) = |x| \)

  • \(f(x) = 2^x \)

  • \(f(x) = x^2 \)

  • \(f(x) = \sin x \)

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Algebra 2/Trigonometry Regents Practice Questions

Mike Nervo
Quiz by , created over 2 years ago

Practice questions for the Algebra 2/Trigonometry regents. Attribute: nysedregents.org

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Mike Nervo
Created by Mike Nervo over 2 years ago
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