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

Accepted Answer

$\$2,433$

Question 4

Which of the following is the correct formula for the slope $m$ of a line passing through points $(x_1, y_1)$ and $(x_2, y_2)$?

Accepted Answer

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Question 5

Suppose the probability of rain on Saturday is $0.3$ and on Sunday is $0.5$. If the events are independent, what is the probability it rains on both days?

Accepted Answer

$0.15$

Question 6

Given the function $f(x) = 2x + 7$, what is the $y$-intercept?

Accepted Answer

$7$

Question 7

A population of bacteria triples every 4 hours. If there are initially 200 bacteria, how many will there be after 12 hours?

Accepted Answer

$5,400$

Question 8

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

Accepted Answer

$x 
eq 3$

Question 9

A die is rolled twice. What is the probability of getting a sum of 7?

Accepted Answer

$\frac{1}{6}$

Question 10

If $f(x) = 5x - 4$ and $g(x) = x^2 + 1$, what is $(f \circ g)(2)$?

Question 11

A loan of $\$10,000$ is to be paid back in 5 years with simple interest at $6\%$ per year. What is the total amount to be paid back?

Accepted Answer

$\$13,000$

Question 12

Which of the following is an exponential decay function?

Accepted Answer

$y = 100(0.8)^x$

Question 13

If $A = P(1 + rt)$, what type of interest does this formula represent?

Accepted Answer

Simple interest

Question 14

A function $f(x)$ is defined as $f(x) = \sqrt{x-2}$. What is the domain of $f(x)$?

Accepted Answer

$x \geq 2$

Question 15

A company’s revenue $R$ (in dollars) is given by $R(x) = 50x - 0.5x^2$, where $x$ is the number of units sold. What is the maximum revenue?

Accepted Answer

$1,250$

Question 16

If $P(A) = 0.4$ and $P(B) = 0.5$ and $A$ and $B$ are mutually exclusive, what is $P(A \cup B)$?

Accepted Answer

$0.9$

Question 17

Which of the following is the correct formula for the compound interest accumulated amount $A$ after $t$ years at rate $r$ compounded $n$ times per year?

Accepted Answer

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

Question 18

A student scores 80, 85, 90, and 95 on four exams. What is the mean score?

Accepted Answer

$87.5$

Question 19

If $f(x) = 2x + 1$ and $g(x) = x - 3$, what is $f(g(4))$?

Accepted Answer

$5$

Question 20

A bag contains 5 red, 3 blue, and 2 green marbles. If one marble is drawn at random, what is the probability it is not blue?

Accepted Answer

$0.7$

Math 119 Final Exam Concept List: College Algebra Study Guide

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