| What to create | Exam |
| Which subject | Mathematics |
| What age group | Year or Grade 11 |
| What topic | Pre calculus |
| Question types | Close-ended |
| Number of questions | 20 |
| Number of answers | 4 |
| Correct answers | Exactly 1 |
| Show correct answers | |
| Use images (descriptions) | |
| Any other preferences |
Instructions: Answer each question by selecting the correct option among the answers provided. Choose the letter that corresponds to your answer.
What is the value of ( \sin(30^\circ) )?
A. ( 0 )
B. ( \frac{1}{2} )
C. ( \frac{\sqrt{3}}{2} )
D. ( 1 )
Which of the following is the correct form of the quadratic equation?
A. ( ax + by = c )
B. ( ax^2 + bx + c = 0 )
C. ( y = mx + b )
D. ( a = b + c )
If the function ( f(x) = x^2 + 4x + 4 ) can be expressed in vertex form, what is the vertex?
A. (-2, 0)
B. (0, -4)
C. (2, 4)
D. (-4, 0)
What is the range of the function ( f(x) = -x^2 + 3 )?
A. ( (-\infty, 3] )
B. ( [3, \infty) )
C. ( (-\infty, -3) )
D. ( [0, 3] )
What is the period of the function ( f(x) = \sin(2x) )?
A. ( \pi )
B. ( 2\pi )
C. ( \frac{\pi}{2} )
D. ( 4\pi )
Which of the following describes the end behavior of the polynomial function ( f(x) = x^5 - 3x^2 + 2 )?
A. Up to up
B. Down to down
C. Up to down
D. Down to up
If ( f(x) = 3x + 1 ) and ( g(x) = x^2 ), what is ( (f \circ g)(x) )?
A. ( 3x^2 + 1 )
B. ( 3x^2 + 3 )
C. ( 6x^2 + 1 )
D. ( 3x + 1 )
What is the solution to the equation ( 2^{x} = 16 )?
A. ( x = 2 )
B. ( x = 4 )
C. ( x = 8 )
D. ( x = 1 )
Which of the following is an example of an arithmetic sequence?
A. ( 2, 5, 8, 11, ... )
B. ( 1, 2, 4, 8, ... )
C. ( 3, 6, 9, 12, ... )
D. ( 5, 10, 20, ... )
What is the slope-intercept form of the equation of a line with slope 3 and y-intercept -2?
A. ( y = 3x + 2 )
B. ( y = 3x - 2 )
C. ( y = -3x + 2 )
D. ( y = 3x - 3 )
How is the vertex of the parabola ( y = ax^2 + bx + c ) found?
A. ( h = -\frac{b}{2a}, k = \frac{4ac - b^2}{4a} )
B. ( h = -b, k = 0 )
C. ( h = 0, k = c )
D. ( h = -\frac{b}{2a}, k = c )
What is the sum of the roots for the quadratic equation ( x^2 - 5x + 6 = 0 )?
A. ( 6 )
B. ( 5 )
C. ( -5 )
D. ( -6 )
Which of the following represents the unit circle?
A. ( x^2 + y^2 = 1 )
B. ( x^2 - y^2 = 1 )
C. ( x^2 + y^2 = 0 )
D. ( xy = 1 )
What is the value of ( \tan(45^\circ) )?
A. ( 1 )
B. ( 0 )
C. ( \infty )
D. ( \sqrt{3} )
If ( f(x) = 4x - 1 ), what is ( f(2) )?
A. ( 8 )
B. ( 6 )
C. ( 7 )
D. ( 9 )
What is the length of the hypotenuse of a right triangle with legs of lengths 3 and 4?
A. ( 5 )
B. ( 6 )
C. ( 7 )
D. ( 8 )
The inverse of the function ( f(x) = x - 3 ) is:
A. ( f^{-1}(x) = x + 3 )
B. ( f^{-1}(x) = 3 - x )
C. ( f^{-1}(x) = 3x )
D. ( f^{-1}(x) = \frac{x}{3} )
Which of the following expressions is equivalent to ( \log_2(8) )?
A. ( 2 )
B. ( 3 )
C. ( 1 )
D. ( 4 )
What is the domain of the function ( g(x) = \sqrt{x - 1} )?
A. ( x \geq 0 )
B. ( x \geq 1 )
C. ( x > 1 )
D. ( x \in (-\infty, 1) )
If the function ( h(x) = \frac{1}{x} ), what is ( h(2) )?
A. ( \frac{1}{2} )
B. ( 2 )
C. ( 0 )
D. ( 4 )
Good luck!