Question 1

Which of the following is the correct solution to the linear equation $2x - 5 = 11$?

Accepted Answer

$x = 8$

Question 2

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

Accepted Answer

$f(-2) = 17$

Question 3

Which of the following is the factored form of $x^2 - 9$?

Accepted Answer

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

Question 4

Solve the quadratic equation $x^2 + 6x + 9 = 0$.

Accepted Answer

$x = -3$

Question 5

Simplify the expression $\frac{3x^2y}{6xy^2}$.

Accepted Answer

$\frac{x}{2y}$

Question 6

Which of the following is the solution to the inequality $4x - 7 < 9$?

Accepted Answer

$x < 4$

Question 7

A chemical reaction requires the temperature $T$ to satisfy $|T - 100| < 5$. What is the range of acceptable temperatures?

Accepted Answer

$95 < T < 105$

Question 8

Which of the following is the correct scientific notation for $0.00056$?

Accepted Answer

$5.6 	imes 10^{-5}$

Question 9

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

Accepted Answer

$9$

Question 10

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

Accepted Answer

$5\sqrt{2}$

Question 11

A medical dosage formula is $D = \frac{mg}{kg}$, where $mg$ is milligrams and $kg$ is body weight in kilograms. If a patient weighs $60$ kg and needs $300$ mg, what is the dosage per kg?

Accepted Answer

$5 \frac{mg}{kg}$

Question 12

Which of the following is the correct solution to the radical equation $\sqrt{x + 4} = 6$?

Accepted Answer

$x = 32$

Question 13

Which of the following is the correct value of $2^{-3}$?

Accepted Answer

$\frac{1}{8}$

Question 14

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

Accepted Answer

$(x + 2)(x + 3)$

Question 15

Which of the following is the correct solution to the equation $x^2 = 25$?

Accepted Answer

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

Question 16

Which of the following is the correct simplification of $\frac{2x^2 - 8}{2x}$?

Accepted Answer

$x - 4$

Question 17

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

Accepted Answer

$-1 < x < 4$

Question 18

Which of the following is the correct value of $\log_{10} 1000$?

Accepted Answer

$3$

Question 19

Which of the following is the correct simplification of $\sqrt{18} + \sqrt{8}$?

Accepted Answer

$5\sqrt{2}$

Question 20

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

Accepted Answer

$x = -2$

College Algebra Pathway: Syllabus and Course Structure Overview

Study Guide - Practice Questions

Study Guide - Flashcards