Question 1

Which of the following is the correct solution to the equation $2x - 5 = 9$?

Accepted Answer

$x = 7$

Question 2

A chemist mixes a solution that is 30% salt with another that is 50% salt to make 10 liters of a 40% salt solution. How many liters of the 50% solution should be used?

Accepted Answer

$5$

Question 3

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

Accepted Answer

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

Question 4

A car travels 180 miles in 3 hours. What is its average speed in miles per hour?

Accepted Answer

$60$

Question 5

Which of the following is the solution set for the inequality $3x + 4 < 10$?

Accepted Answer

$x < 2$

Question 6

If $f(x) = 2x^2 - 3x + 1$, what is $f(-2)$?

Accepted Answer

$15$

Question 7

A medical researcher is analyzing the growth of bacteria, which doubles every 3 hours. If the initial population is 200, what will the population be after 9 hours?

Accepted Answer

$800$

Question 8

Which of the following is the correct solution to the quadratic equation $x^2 - 4x + 3 = 0$?

Accepted Answer

$x = 1$ or $x = 3$

Question 9

A company’s revenue $R$ (in thousands of dollars) is modeled by $R(x) = 5x + 20$, where $x$ is the number of units sold (in hundreds). What is the revenue if 300 units are sold?

Accepted Answer

$R = 35$ (thousand dollars)

Question 10

Which of the following is the correct simplification of the expression $\dfrac{2x^2y}{4xy^2}$?

Accepted Answer

$\dfrac{x}{2y}$

Question 11

A patient’s medication dosage is reduced by 20% each day. If the initial dosage is 100 mg, what is the dosage after 2 days?

Accepted Answer

$64$ mg

Question 12

Which of the following is the correct solution to the system of equations: $x + y = 5$ and $x - y = 1$?

Accepted Answer

$(x, y) = (3, 2)$

Question 13

Which of the following is the correct domain of the function $f(x) = \dfrac{1}{x-2}$?

Accepted Answer

$x 
eq 2$

Question 14

A triangle has sides of lengths $x$, $x+2$, and $x+4$. If the perimeter is $24$, what is the length of the shortest side?

Accepted Answer

$6$

Question 15

Which of the following is the correct solution to $|2x - 3| = 7$?

Accepted Answer

$x = 5$ or $x = -2$

Question 16

A population of bacteria increases by 15% each hour. If the initial population is 200, what is the population after 2 hours? (Round to the nearest whole number.)

Accepted Answer

$264$

Question 17

Which of the following is the correct solution to the equation $\dfrac{3}{x} = 6$?

Question 18

A rectangular garden has a length that is 3 meters more than twice its width. If the perimeter is 36 meters, what is the width?

Accepted Answer

$5$ meters

Question 19

Which of the following is the correct solution to the inequality $2(x - 1) \geq 6$?

Accepted Answer

$x \geq 4$

Question 20

A cell phone plan charges a base fee of $\$20$ plus $\$0.10$ per minute. If a customer’s bill is $\$35$, how many minutes did they use?

Accepted Answer

$150$

College Algebra Syllabus and Course Overview – Fall 2025

Study Guide - Practice Questions

Study Guide - Flashcards