# Algebra 2/Trigonometry Regents Practice Questions

Quiz by , created over 5 years ago

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

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 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
• 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 $$\left(\frac{x}{2} - 2y \right)^6$$?
• $$20 x^3 y^3$$
• $$-\frac{15}{4} x^4 y^2$$
• $$-20 x^3 y^3$$
• $$\frac{15}{4} x^4 y^2$$

### Question 3

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

### 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?
• 1
• 2
• 3
• 0

### Question 5

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

### Question 6

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

### 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 $$\cos (A - B)$$?
• $$\frac{33}{65}$$
• $$-\frac{33}{65}$$
• $$\frac{63}{65}$$
• $$-\frac{63}{65}$$

### 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 $$\triangle BLF$$?
• 11.4
• 14.1
• 22.7
• 28.1

### Question 9

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

### Question 10

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