Question 1

A car's value depreciates by 15\% each year. If the car is currently worth $\$20,000$, what will its value be after 3 years? (Round to the nearest dollar.)

Accepted Answer

$\$12,337$

Question 2

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

Accepted Answer

$19$

Question 3

A savings account offers an annual interest rate of $4\%$ compounded quarterly. If you deposit $\$2,000$, how much will you have after 5 years? (Use $A = P \left(1 + \frac{r}{n}\right)^{nt}$)

Accepted Answer

$\$2,433$

Question 4

Which of the following best describes the domain of the function $f(x) = \frac{1}{x-3}$?

Accepted Answer

$x 
eq 3$

Question 5

A researcher collects the following data set: $\{4, 8, 6, 10, 12\}$. What is the mean of the data?

Accepted Answer

$8$

Question 6

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

Accepted Answer

$11$

Question 7

A biologist models the population of a bacteria culture with $P(t) = 500e^{0.3t}$, where $t$ is in hours. What is the population after 4 hours? (Round to the nearest whole number.)

Accepted Answer

$1,660$

Question 8

Which of the following is the equation of a line passing through the points $(2, 5)$ and $(4, 9)$?

Accepted Answer

$y = 2x + 1$

Question 9

A company wants to predict its future revenue using the formula $R = 50,000(1.06)^t$, where $t$ is the number of years. What will the revenue be after 3 years? (Round to the nearest dollar.)

Accepted Answer

$59,755$

Question 10

If the probability of rain on a given day is $0.3$, what is the probability that it does NOT rain?

Accepted Answer

$0.7$

Question 11

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

Accepted Answer

$x \geq 1$

Question 12

A student rolls two six-sided dice. What is the probability that the sum is 7?

Accepted Answer

$\frac{1}{6}$

Question 13

Which of the following is the correct formula for the compound interest earned on a principal $P$ at an annual rate $r$, compounded $n$ times per year for $t$ years?

Accepted Answer

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

Question 14

If $f(x) = 4x - 7$, what is the $y$-intercept of the function?

Accepted Answer

$-7$

Question 15

A medication's effectiveness decreases by $12\%$ each hour. If the initial effectiveness is $100$ units, what is its effectiveness after 5 hours? (Use $A = P(1 - r)^t$)

Accepted Answer

$56.1$

Question 16

Which of the following is NOT a function?

Accepted Answer

A relation where $x = 2$ maps to both $y = 3$ and $y = 5$

Question 17

A student invests $\$1,500$ in an account that earns $5\%$ annual interest, compounded continuously. What is the value after 10 years? (Use $A = Pe^{rt}$)

Accepted Answer

$2,473$

Question 18

If $A$ and $B$ are independent events with $P(A) = 0.4$ and $P(B) = 0.5$, what is $P(A \cap B)$?

Accepted Answer

$0.2$

Question 19

Which of the following best describes the range of the function $f(x) = x^2 + 2$?

Accepted Answer

$y \geq 2$

Question 20

A researcher flips a coin 5 times. How many possible outcomes are there?

Accepted Answer

$32$

Math 119 Final Exam Concept List: College Algebra Study Guide

Study Guide - Practice Questions

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