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 $\sqrt{50} + \sqrt{18}$?

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

Study Guide - Practice Questions

Study Guide - Flashcards