Question 1

Which of the following is the correct factorization of the quadratic expression $x^2 - 5x + 6$?

Accepted Answer

$ (x - 2)(x - 3) $

Question 2

A rational expression is undefined for which value of $x$ in the expression $\frac{2x + 1}{x^2 - 9}$?

Accepted Answer

$ x = 3 $ and $ x = -3 $

Question 3

Simplify the following expression: $\frac{3x^2}{6x}$ for $x 
eq 0$.

Accepted Answer

$ \frac{x}{2} $

Question 4

Which of the following is the solution set for the equation $x^2 + 4x + 4 = 0$?

Accepted Answer

$ x = -2, x = -2 $

Question 5

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

Accepted Answer

$ 1 $

Question 6

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

Accepted Answer

$ 5\sqrt{2} $

Question 7

If $x = 2 + 3i$ and $y = 1 - 2i$, what is $x + y$?

Accepted Answer

$ 3 + i $

Question 8

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

Accepted Answer

$ x = -12 $

Question 9

A chemist needs to mix a 10% saline solution with a 30% saline solution to obtain 100 mL of a 25% saline solution. How many mL of the 30% solution should be used?

Accepted Answer

$ 75 $

Question 10

Which of the following is the correct solution to the system of equations: $\begin{cases} x + y = 5 \ x - y = 1 \end{cases}$?

Accepted Answer

$ x = 3, y = 2 $

Question 11

Which of the following is the correct way to express $\frac{1}{\sqrt{3}}$ with a rationalized denominator?

Accepted Answer

$ \frac{\sqrt{3}}{3} $

Question 12

If $f(x) = x^2 - 4x + 7$, what is the value of $f(-2)$?

Accepted Answer

$ 19 $

Question 13

Which of the following is the solution to the inequality $2x - 3 > 7$?

Accepted Answer

$ x > 5 $

Question 14

A projectile is launched from the ground and its height $h$ in meters after $t$ seconds is given by $h(t) = -4.9t^2 + 19.6t$. At what time does it reach its maximum height?

Accepted Answer

$ t = 2 $

Question 15

Which of the following is the correct solution for $x$ in the equation $\frac{2}{x} = 8$?

Question 16

Which of the following is the correct value of the discriminant for the quadratic equation $x^2 - 6x + 9 = 0$?

Accepted Answer

$ 0 $

Question 17

If $x$ and $y$ are complex numbers such that $x = 4 + 2i$ and $y = 1 - 3i$, what is $x \cdot y$?

Accepted Answer

$ 10 - 10i $

Question 18

Which of the following best describes the graph of the equation $y = 2x + 3$?

Accepted Answer

A straight line with slope $2$ and $y$-intercept $3$

Question 19

Which of the following is the correct solution to the equation $x^2 = 16$?

Accepted Answer

$ x = 4, x = -4 $

Question 20

A company’s profit $P$ (in thousands of dollars) is modeled by $P(x) = -2x^2 + 8x + 10$, where $x$ is the number of units sold (in thousands). What is the maximum profit, and for how many units sold does it occur?

Accepted Answer

$ 18$ thousand dollars at $x = 2$ thousand units

Intermediate Algebra (College Algebra) – Course Syllabus and Study Guide

Study Guide - Practice Questions

Study Guide - Flashcards