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 $$3x - 5 \u003c 10$$?

Accepted Answer

$$x \u003c 5$$

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

Guida di studio - Domande di pratica

Study guide - Flashcard