Question 1

Which of the following is the correct definition of a function?

Accepted Answer

A relation in which every input is paired with exactly one output.

Question 2

Given the function $$f(x) = 2x^2$ - 3x + 5$$, what is $$f(-2)$$?

Accepted Answer

$$f(-2) = 19$$

Question 3

Which of the following is the correct solution to the quadratic equation $$x^2 - 6x + 8 = 0$?

Accepted Answer

$$x = 2$$ and $$x = 4$$

Question 4

A chemical reaction rate $$R is $$modeled by the function $$R(t) = 5e$$^{-0.2t}$$, where t$ is time in minutes. What is the rate after 10 minutes?

Accepted Answer

$$R(10) = 5e$$^{-2}$$ \approx 0.68$$

Question 5

Which of the following is the correct simplification of the expression $$\sqrt{50} + \sqrt{18}$$?

Accepted Answer

Question 6

A right triangle has legs of length 6 cm and 8 cm. What is the length of the hypotenuse?

Accepted Answer

$$10 cm$$

Question 7

Which of the following is the correct value for $$\sin(45^\circ)$$?

Accepted Answer

$$\dfrac{\sqrt{2}}{2}$$

Question 8

If $$f(x) = x^2$ and g(x) = x + 1$, what is (f$$ \circ g)(2)$$?

Accepted Answer

$$f(g(2)) = f(3) = 9$$

Question 9

Which of the following is the correct solution to the equation $$|2x - 5| = 7$$?

Accepted Answer

$$x = 6 or$$ $$x = -1$$

Question 10

A population of bacteria doubles every 3 hours. If the initial population is 500, what is the population after 9 hours?

Accepted Answer

$$500 	imes 2^3$ = 4000$$

Question 11

Which of the following is the correct inverse function of $$f(x) = 3x + 2$$?

Accepted Answer

$$f^{-1}(x$$) = \dfrac{x - 2}{3}$$

Question 12

Which of the following is the correct solution to the system of equations: $$\begin{cases} x + y = 7 \ x - y = 3 \end{cases}$$?

Accepted Answer

$$x = 5, y = 2$$

Question 13

Which of the following is the correct value for $$	an(60^\circ)$$?

Accepted Answer

$$\sqrt{3}$$

Question 14

A ball is thrown upward with an initial velocity of 20 m/s. Its height after $$t$$ seconds is given by $$h(t) = -4.9t^2$ + 20t + 2. $$What is the maximum height reached by the ball?

Accepted Answer

$$22.4 m$$

Question 15

Which of the following is the correct domain of the function $$f(x) = \dfrac{1}{x-4}$$?

Accepted Answer

$$x 
eq 4$$

Question 16

Which of the following is the correct factorization of $$x^2 - 9$?

Accepted Answer

$$(x - 3)(x + 3)$$

Question 17

A medication's concentration in the bloodstream is modeled by $$C(t) = 100e$$^{-0.5t}$$, where t$ is in hours. What is the concentration after 4 hours?

Accepted Answer

$$C(4) = 100e$$^{-2}$$ \approx 13.53$$

Question 18

Which of the following is the correct value for $$\cos(0)$$?

Accepted Answer

$$1$$

Question 19

Which of the following is the correct solution to the equation $$2^{x} = 32$?

Accepted Answer

$$x = 5$$

College Algebra and Trigonometry (MA120) – Syllabus and Study Guide

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