Q: Which of the following describes the graph of $y = |x - 2|$?

A V-shaped graph with vertex at $(2, 0)$

Question 1

Which of the following is the correct definition of a rational number?

Accepted Answer

A number that can be written as a fraction $\frac{p}{q}$, where $p$ and $q$ are integers and $q 
eq 0$.

Question 2

Simplify the following expression and choose the correct answer: $\frac{2x^2 - 8}{4x}$ for $x 
eq 0$.

Accepted Answer

$\frac{x - 2}{2}$

Question 3

A hospital is tracking the spread of a virus. The number of cases $C$ after $t$ days is modeled by $C = 100 \cdot 2^t$. How many cases will there be after 5 days?

Accepted Answer

$1600$

Question 4

Which of the following is the solution set for the inequality $3x - 5 < 10$?

Accepted Answer

$x < 5$

Question 5

Given the function $f(x) = x^2 - 4x + 3$, what is the vertex of its graph?

Accepted Answer

$(2, -1)$

Question 6

A chemical reaction requires mixing two solutions in the ratio $3:5$. If you have $60$ mL of the first solution, how much of the second solution is needed?

Accepted Answer

$100$ mL

Question 7

Which of the following is the correct factorization of $x^2 - 9$?

Accepted Answer

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

Question 8

Solve for $x$: $2x + 3 = 7$

Accepted Answer

$x = 2$

Question 9

A population of bacteria doubles every 4 hours. If the initial population is $500$, what will the population be after $12$ hours?

Accepted Answer

$4000$

Question 10

Which of the following is the domain of the function $f(x) = \frac{1}{x-2}$?

Accepted Answer

$x 
eq 2$

Question 11

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

Accepted Answer

$19$

Question 12

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

Accepted Answer

$200$

Question 13

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

Accepted Answer

$x = 3$

Question 14

A medication’s concentration in the bloodstream decreases exponentially according to $C(t) = 100e^{-0.2t}$, where $t$ is in hours. What is the concentration after $5$ hours?

Accepted Answer

$36.79$

Question 15

Which of the following is the correct solution to $|2x - 5| = 7$?

Accepted Answer

$x = 6$ or $x = -1$

Question 16

Which of the following is the inverse function of $f(x) = 3x + 2$?

Accepted Answer

$f^{-1}(x) = \frac{x - 2}{3}$

Question 17

A company’s revenue $R$ (in thousands of dollars) is modeled by $R(x) = -2x^2 + 40x$, where $x$ is the number of units sold (in thousands). What is the maximum revenue?

Accepted Answer

$200$ thousand dollars

Question 18

Which of the following is the solution to the system of equations: $\begin{cases} 2x + y = 7 \ x - y = 1 \end{cases}$?

Accepted Answer

$x = 2, y = 5$

Question 19

Which of the following describes the graph of $y = |x - 2|$?

Accepted Answer

A V-shaped graph with vertex at $(2, 0)$

Question 20

A biologist models the growth of a plant with the function $h(t) = 5 + 2t$, where $h$ is the height in cm and $t$ is the number of weeks. How tall will the plant be after $8$ weeks?

Accepted Answer

$21$ cm

College Algebra Course Schedule and Topic Overview

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