Question 1

Solve the linear equation: $-3(6x - 17) + 18x = 8x + 51 + 3x$

Accepted Answer

$11$

Question 2

Consider the set $M = \{-1028, -2050/5, -3/25, 0, 4/21, 1, \sqrt{24}, 11, 9\pi\}$. Which of its elements are irrational numbers?

Accepted Answer

$\sqrt{24}, 9\pi$

Question 3

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

Accepted Answer

$x = -12$

Question 4

A chemist mixes two solutions, one with a concentration of $30\%$ and another with $50\%$ acid, to obtain $10$ liters of a $40\%$ acid solution. How many liters of the $30\%$ solution are needed?

Accepted Answer

$5$ liters

Question 5

Which of the following numbers is NOT a real number?

Accepted Answer

$\sqrt{-1}$

Question 6

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

Accepted Answer

$15$

Question 7

Which of the following best describes the solution to the equation $|2x - 5| = 9$?

Accepted Answer

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

Question 8

A medical researcher is tracking the spread of a virus. The number of cases doubles every $3$ days. If there are $100$ cases today, how many cases will there be in $9$ days?

Accepted Answer

$800$

Question 9

Which of the following is equivalent to the expression $\frac{2x^2 - 8}{x - 2}$ for $x 
eq 2$?

Question 10

A car rental company charges a flat fee of $\$50$ plus $\$0.20$ per mile driven. If a customer paid $\$90$, how many miles did they drive?

Accepted Answer

$200$ miles

Question 11

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

Accepted Answer

$x < 12$

Question 12

If $g(x) = x^2 - 4x + 3$, what are the zeros of $g(x)$?

Accepted Answer

$x = 1$ and $x = 3$

Question 13

A population of bacteria triples every $4$ hours. If the initial population is $200$, what will the population be after $8$ hours?

Accepted Answer

$1800$

Question 14

Which of the following is the simplified form of $\frac{4x^2 - 9}{2x + 3}$ for $x 
eq -\frac{3}{2}$?

Accepted Answer

$2x - 3$

Question 15

If $h(x) = 3x - 2$ and $k(x) = x^2$, what is $(h \circ k)(2)$?

Accepted Answer

$10$

Question 16

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

Accepted Answer

$x 
eq 4$

Question 17

A rectangle 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 18

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

Accepted Answer

$x = 3$

Question 19

If $f(x) = \sqrt{x - 1}$, what is the domain of $f(x)$?

Accepted Answer

$x \geq 1$

Question 20

Which of the following is the solution to the system of equations: $x + y = 7$ and $x - y = 3$?

Accepted Answer

$x = 5, y = 2$

Linear Equations and Number Sets: College Algebra Study Notes

Study Guide - Practice Questions

Study Guide - Flashcards