Question 1

Which of the following is the correct definition of a function?

Accepted Answer

A relation in which every input is paired with exactly one output.

Question 2

Given the quadratic equation $x^2 - 6x + 8 = 0$, what are its solutions?

Accepted Answer

$x = 2$ and $x = 4$

Question 3

Which of the following is the correct formula for the vertex of a parabola given by $y = ax^2 + bx + c$?

Accepted Answer

$x = -\frac{b}{2a}$

Question 4

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 5

Which of the following is the correct expression for the sum of a geometric series with first term $a$ and common ratio $r$ for $n$ terms?

Accepted Answer

$S_n = a \frac{1 - r^n}{1 - r}$

Question 6

If $f(x) = 2x + 3$ and $g(x) = x^2$, what is $(f \circ g)(2)$?

Accepted Answer

$7$

Question 7

Which of the following is the correct domain for the function $f(x) = \frac{1}{x-5}$?

Accepted Answer

All real numbers except $x = 5$

Question 8

Solve the inequality $2x - 5 > 7$.

Accepted Answer

$x > 6$

Question 9

Which of the following is the correct inverse of the function $f(x) = 3x - 4$?

Accepted Answer

$f^{-1}(x) = \frac{x + 4}{3}$

Question 10

A ball is thrown upward with an initial velocity of $20$ m/s from a height of $2$ m. Its height after $t$ seconds is given by $h(t) = -4.9t^2 + 20t + 2$. What is the maximum height reached by the ball?

Accepted Answer

$22.41$ m

Question 11

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

$x = 2, y = 3$

Question 12

Which of the following is the correct equation for a circle with center $(2, -3)$ and radius $5$?

Accepted Answer

$(x - 2)^2 + (y + 3)^2 = 25$

Question 13

Which of the following is the correct expression for the compound interest formula?

Accepted Answer

$A = P(1 + \frac{r}{n})^{nt}$

Question 14

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

Accepted Answer

$13$

Question 15

Which of the following is the correct solution for $\log_2 x = 5$?

Accepted Answer

$x = 32$

Question 16

Which of the following is the correct equation for the line passing through $(1,2)$ with slope $3$?

Accepted Answer

$y - 2 = 3(x - 1)$

Question 17

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

Accepted Answer

$x = 5$ or $x = -2$

Question 18

Which of the following is the correct expression for the difference quotient of $f(x) = x^2$?

Accepted Answer

$\frac{(x + h)^2 - x^2}{h}$

Question 19

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

Accepted Answer

$x = 4$

Question 20

Which of the following is the correct expression for the sum of the first $n$ positive integers?

Accepted Answer

$\frac{n(n+1)}{2}$

Math 130 College Algebra Syllabus – Key Topics and Study Guide

Study Guide - Practice Questions

Study Guide - Flashcards