Question 1

Which property is illustrated by the equation $a + (b + c) = (a + b) + c$?

Accepted Answer

Associative Property

Question 2

A pharmacist needs to mix two solutions: one with 30% alcohol and one with 70% alcohol to obtain 100 mL of a 50% alcohol solution. How many mL of the 30% solution should be used?

Accepted Answer

$50$ mL

Question 3

Simplify the expression $2(x - 3) + 4x$.

Accepted Answer

$6x - 6$

Question 4

Which of the following is the correct solution to the equation $3x + 5 = 2x - 7$?

Accepted Answer

$x = -12$

Question 5

A car rental company charges a flat fee of $\$40$ plus $\$0.25$ per mile driven. If a customer paid $\$65$, how many miles did they drive?

Accepted Answer

$125$ miles

Question 6

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

Accepted Answer

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

Question 7

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

Accepted Answer

$19$

Question 8

Which equation represents a line passing through the point $(2, 5)$ with a slope of $-3$?

Accepted Answer

$y = -3x + 11$

Question 9

Solve the system of equations: $\begin{cases} x + y = 8 \ x - y = 2 \end{cases}$

Accepted Answer

$x = 5, y = 3$

Question 10

Which of the following is the correct solution to $\sqrt{x} = 7$?

Accepted Answer

$x = 49$

Question 11

A biologist observes that the population of bacteria doubles every hour. If the initial population is $500$, what will the population be after $4$ hours?

Accepted Answer

$8000$

Question 12

Which of the following is the correct solution to $2(x - 4) = 3x + 5$?

Accepted Answer

$x = -13$

Question 13

Which of the following is the correct graph for the equation $y = x^2 - 4$?

Accepted Answer

A parabola opening upwards with vertex at $(0, -4)$

Question 14

A chemical reaction requires mixing $x$ grams of substance A and $y$ grams of substance B such that $2x + 3y = 18$. If $y = 4$, what is $x$?

Accepted Answer

$x = 6$

Question 15

Which of the following is the correct solution to the quadratic equation $x^2 - 5x + 6 = 0$?

Accepted Answer

$x = 2$ and $x = 3$

Question 16

A student scored $80$ on the first test and $90$ on the second test. What score must they get on the third test to have an average of $85$?

Accepted Answer

$95$

Question 17

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

Accepted Answer

$\dfrac{x}{2y}$

Question 18

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

Accepted Answer

$x = 7$ or $x = -2$

Question 19

A business's profit $P$ is given by $P = 3x^2 - 2x + 100$, where $x$ is the number of units sold. What is the profit if $x = 10$?

Accepted Answer

$380$

Question 20

Which of the following is the correct solution to the system $\begin{cases} 2x + 3y = 12 \ x - y = 1 \end{cases}$?

Accepted Answer

$x = 3, y = 3$

College Algebra Course Syllabus and Weekly Topic Guide

Study Guide - Practice Questions

Study Guide - Flashcards