Question 1

Which of the following is the correct solution to the equation $$2x^2 - 8x + 6 = 0$?

Accepted Answer

Question 2

A company’s profit $$P (in $$thousands of dollars) is modeled by the quadratic function $$P(x) = -2x^2$ + 12x - 16$$, 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

Maximum profit is $$20$$ thousand dollars at $$x = 3$$ thousand units

Question 3

Which of the following is the correct graph for the function $$f(x) = -x^2$ + 4x - 3$$?

Accepted Answer

A parabola opening downwards with vertex at $$(2, 1)$$

Question 4

Solve the inequality $$3x - 5 \u003c 7$$ and select the correct solution set.

Accepted Answer

$$x \u003c 4$$

Question 5

Which of the following is the correct equation of a line passing through $$(2, 3)$$ with a slope of $$-4$$?

Accepted Answer

$$y = -4x + 11$$

Question 6

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

Accepted Answer

$$f(-2) = 19$$

Question 7

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

Accepted Answer

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

Question 8

A population of bacteria doubles every 3 hours. If the initial population is $$500$$, what will the population be after 9 hours?

Accepted Answer

$$4000$$

Question 9

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 10

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

Accepted Answer

$$x = 2, y = 5$$

Question 11

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

Accepted Answer

All real numbers except $$x = 4$$

Question 12

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

Accepted Answer

$$(f \circ g)(2) = 9$$

Question 13

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

Accepted Answer

$$x = 32$$

Question 14

Which of the following is the correct solution to the exponential equation $$3^x = 81$$?

Accepted Answer

$$x = 4$$

Question 15

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

Accepted Answer

Question 16

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

Accepted Answer

$$x = 10 or$$ $$x = -4$$

Question 17

Which of the following is the correct solution to the quadratic equation $$x^2 + 6x + 9 = 0$?

Accepted Answer

$$x = -3$$

Question 18

Which of the following is the correct solution to the linear inequality $$5x - 2 \geq 13$$?

Accepted Answer

$$x \geq 3$$

Question 19

Which of the following is the correct solution to the system of equations: $$\begin{cases} x + y = 8 \ x - y = 2 \end{cases}$$?

Accepted Answer

$$x = 5, y = 3$$

Question 20

Which of the following is the correct solution to the logarithmic equation $$\log_{10}(x) = 2$$?

Accepted Answer

$$x = 100$$

College Algebra Syllabus and Course Structure Overview

Study Guide - Practice Questions

Study Guide - Flashcards