Question 1

Which of the following best describes the union of two sets $$A$$ and $$B$$?

Accepted Answer

The set of all elements that are in $$A$$, in $$B$$, or in both.

Question 2

Simplify the expression $$\sqrt{50} + 2\sqrt{8}.$$

Accepted Answer

$$5\sqrt{2} + 4\sqrt{2} = 7\sqrt{2}$$

Question 3

Which of the following is the correct solution to the equation $$2x - 5 = 11$$?

Accepted Answer

$$x = 8$$

Question 4

A quadratic equation models the height $$h (in $$meters) of a ball thrown upward as $$h = -4.9t^2$ + 20t + 1.5. $$What is the initial height of the ball?

Accepted Answer

$$1.5$$ meters

Question 5

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

Accepted Answer

A relation where each input has exactly one output.

Question 6

Solve the system of equations: $$\begin{cases} 2x + y = 7 \ x - y = 1 \end{cases}$$

Accepted Answer

$$x = 3, y = 1$$

Question 7

Which of the following is the correct solution to the inequality $$3x - 4 \u003e 8$$?

Accepted Answer

$$x \u003e 4$$

Question 8

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

Accepted Answer

$$f(-2) = 15$$

Question 9

Which of the following is the correct solution to $$\log_{2}(x) = 5$$?

Accepted Answer

$$x = 32$$

Question 10

A chemical reaction follows the exponential decay model $$N(t) = N_0$ e$$^{-0.03t}$$, where N_0$ is the initial amount. What is N(0$$)$$?

Accepted Answer

$$N_0$$

Question 11

Which of the following is the correct simplification of $$\frac{2x^2$y}{4xy^2$}$$?

Accepted Answer

$$\frac{x}{2y}$$

Question 12

Solve for $$x$$: $$|2x - 5| = 9$$

Accepted Answer

$$x = 7 or$$ $$x = -2$$

Question 13

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

Accepted Answer

$$x = 3$$

Question 14

A company’s profit $$P (in $$dollars) is modeled by $$P = 5x - 200$$, where $$x is $$the number of units sold. What is the break-even point?

Accepted Answer

$$x = 40$$

Question 15

Which of the following is the correct solution to the exponential equation $$2^x = 16$$?

Accepted Answer

$$x = 4$$

Question 16

If $$A = \{1, 2, 3, 4\}$$ and $$B = \{3, 4, 5, 6\}$$, what is $$A \cap B$$?

Accepted Answer

$$\{3, 4\}$$

Question 17

Which of the following is the correct solution to the rational inequality $$\frac{x-2}{x+1} \u003e 0$$?

Accepted Answer

$$x \u003e 2 or$$ $$x \u003c -1$$

Question 18

Which of the following is the correct result of multiplying $$(2 + 3i)(1 - 4i)$$?

Accepted Answer

$$14 - 5i$$

Question 19

Which of the following is the correct graph for the function $$y = \log_{10}(x)$$?

Accepted Answer

A curve passing through $$(1, 0)$$ and increasing slowly for $$x \u003e 1.$$

Question 20

A hospital tracks the number of bacteria in a sample using $$N(t) = 500e$$^{0.2t}$$. How many bacteria are present after t = 5$ hours? (Round to the nearest whole number.)

Accepted Answer

$$500e^{1}$$, \approx 1359$

College Algebra Syllabus and Course Overview – Math 1111

Guida di studio - Domande di pratica

Study guide - Flashcard