Question 1

Which of the following is the correct solution to the equation $2x^2 - 5x + 3 = 0$?

Accepted Answer

$x = 1$ or $x = \frac{3}{2}$

Question 2

A chemist needs to prepare a solution by mixing two solutions: one with 30% acid and one with 10% acid. How many liters of each should be mixed to obtain 20 liters of a 25% acid solution?

Accepted Answer

15 liters of 30% solution and 5 liters of 10% solution

Question 3

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

Accepted Answer

$x 
eq 4$

Question 4

A student is analyzing the cost function $C(x) = 5x + 200$ for producing $x$ units of a product. What is the fixed cost?

Accepted Answer

$200$

Question 5

If $f(x) = 2x^2 - 3x + 1$ and $g(x) = x - 4$, what is $(f \circ g)(2)$?

Accepted Answer

$3$

Question 6

A hospital uses the formula $A = P(1 + rt)$ to calculate the amount $A$ after $t$ years at a simple interest rate $r$ on principal $P$. If $P = 1000$, $r = 0.05$, and $t = 3$, what is $A$?

Accepted Answer

$1150$

Question 7

Which of the following is the solution set for $|2x - 5| = 7$?

Accepted Answer

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

Question 8

A medication's concentration in the bloodstream is modeled by $C(t) = 50e^{-0.2t}$, where $t$ is in hours. What is the concentration after 5 hours?

Accepted Answer

$18.4$

Question 9

Which of the following is the correct graph for the inequality $y > 2x - 1$?

Accepted Answer

A dashed line for $y = 2x - 1$ with shading above the line

Question 10

A biologist models population growth with $P(t) = 1000 \cdot 2^t$. What is the population after 3 hours?

Accepted Answer

$8000$

Question 11

Which of the following is the solution to the system of equations: $\begin{cases} x + y = 7 \ 2x - y = 1 \end{cases}$?

Accepted Answer

$x = 2.67$, $y = 4.33$

Question 12

A nurse needs to dilute a 50% saline solution to obtain 100 mL of a 20% solution. How much 50% solution and pure water should be mixed?

Accepted Answer

40 mL of 50% solution and 60 mL of water

Question 13

Which of the following is the range of the function $f(x) = x^2 - 4$?

Accepted Answer

$y \geq -4$

Question 14

A car rental company charges a flat fee of $\$25$ plus $\$0.20$ per mile. If a customer pays $\$45$, how many miles did they drive?

Accepted Answer

$100$ miles

Question 15

Which of the following is the solution to $\log_2(x) = 5$?

Accepted Answer

$x = 32$

Question 16

A scientist uses the quadratic formula to solve $x^2 - 6x + 8 = 0$. What are the solutions?

Accepted Answer

$x = 2$ and $x = 4$

Question 17

Which of the following is the correct inverse of the function $f(x) = 3x + 7$?

Accepted Answer

$f^{-1}(x) = \frac{x - 7}{3}$

Question 18

A patient’s heart rate is modeled by $H(t) = 80 + 10\sin(\frac{\pi}{6}t)$, where $t$ is in minutes. What is the heart rate at $t = 6$ minutes?

Accepted Answer

$80$

Question 19

Which of the following is the solution to the inequality $3x - 7 < 2x + 5$?

Accepted Answer

$x < 12$

Question 20

A scientist measures the temperature of a chemical reaction as $T(t) = 25 + 5t$, where $t$ is in minutes. What is the temperature after 8 minutes?

Accepted Answer

$65$ degrees

CHEM 1120 Syllabus and Study Guide: Introduction to Chemistry for Non-Science Majors

Study Guide - Practice Questions

Study Guide - Flashcards