Algebra 2/Trigonometry Regents Practice Questions

Mike Nervo
Quiz by , created over 5 years ago

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

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Mike Nervo
Created by Mike Nervo over 5 years ago
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Question 1

Question
The roots of the equation \(2x^2+ 4 = 9x\) are
Answer
  • real, rational, and equal
  • real, rational, and unequal
  • real, irrational, and unequal
  • imaginary

Question 2

Question
What is the middle term in the expansion of \(\left(\frac{x}{2} - 2y \right)^6 \)?
Answer
  • \(20 x^3 y^3\)
  • \(-\frac{15}{4} x^4 y^2\)
  • \(-20 x^3 y^3\)
  • \(\frac{15}{4} x^4 y^2\)

Question 3

Question
Which summation represents 5 + 7 + 9 + 11 … + 43?
Answer
  • \(\sum \limits_{n=5}^{43} n\)
  • \(\sum \limits_{n=1}^{20} 2n + 3\)
  • \(\sum \limits_{n=4}^{24} 2n -3 \)
  • \(\sum \limits_{n=1}^{23} 3n - 4\)

Question 4

Question
In \(\triangle DEF\), \(d = 5\), \(e = 8\), and \(m\angle D = 32\). How many distinct triangles can be drawn given these measurements?
Answer
  • 1
  • 2
  • 3
  • 0

Question 5

Question
Which equation represents a graph that has a period of \(4\pi\)?
Answer
  • \( y = 3 \sin \frac{1}{2}x\)
  • \( y = 3 \sin 2x \)
  • \( y = 3 \sin \frac{1}{4}x\)
  • \( y = 3 \sin 4x\)

Question 6

Question
Which graph represents the solution set of \(\frac{x+16}{x-2} \le 7\)
Answer
  • \(x - 11 \)
  • \( 11 - x \)
  • \(\frac{1}{x-11}\)
  • \(\frac{1}{11-x}\)

Question 7

Question
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 \(\cos (A - B)\)?
Answer
  • \(\frac{33}{65}\)
  • \(-\frac{33}{65}\)
  • \(\frac{63}{65}\)
  • \(-\frac{63}{65}\)

Question 8

Question
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 \(\triangle BLF\)?
Answer
  • 11.4
  • 14.1
  • 22.7
  • 28.1

Question 9

Question
What is the range of \(f(x) = | x - 3 | + 2\)?
Answer
  • \( \left\{ x | x \ge 3 \right\} \)
  • \( \left\{ x | x \in real numbers \right\} \)
  • \( \left\{y | y \in real numbers\right\} \)
  • \( \left\{ y | y \ge 2 \right\} \)

Question 10

Question
Which function is one-to-one?
Answer
  • \(f(x) = |x| \)
  • \(f(x) = 2^x \)
  • \(f(x) = x^2 \)
  • \(f(x) = \sin x \)