Question 1

Which of the following is the correct definition of the imaginary unit $$i$$?

Accepted Answer

$$i is $$defined as $$i = \sqrt{-1}$$

Question 2

What is the result of multiplying $$(3 + 2i)$$ and $$(1 - 4i)$$?

Accepted Answer

$$3 + 2i - 12i - 8i^2$ = 3 - 10i - 8(-1) = 3 - 10i + 8 = 11 - 10i$$

Question 3

Which of the following is the standard form of the complex number $$5 - 3i + 2i$$?

Accepted Answer

$$5 - i$$

Question 4

Solve the quadratic equation $$x^2 - 4x + 4 = 0$ using factoring.

Accepted Answer

$$x = 2$$

Question 5

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

Accepted Answer

$$x = 3i$$

Question 6

Given the function $$f(x) = 2x^2$ - 3x + 1$$, what is the value of $$f(-2)$$?

Accepted Answer

$$f(-2) = 2(-2)^2$ - 3(-2) + 1 = 8 + 6 + 1 = 15$$

Question 7

Which of the following is the domain of the function $$f(x) = \frac{1}{x-5}$$?

Accepted Answer

All real numbers except $$x = 5$$

Question 8

If the graph of a function passes the Vertical Line Test, what does this indicate?

Accepted Answer

The graph represents a function

Question 9

Which of the following is the solution to the equation $$|2x - 3| = 5$$?

Accepted Answer

$$x = 4 or$$ $$x = -1$$

Question 10

A rectangle has a long side that is 10 units longer than the short side. If the area is $$45$$ square units, what are the dimensions of the rectangle?

Accepted Answer

Short side: $$5$$, Long side: $$15$$

Question 11

Which of the following is the correct solution to the equation $$(x^2 - 2x$$) - [(1 - 2x) + 2] = 0$$?

Accepted Answer

$$x = 2$$

Question 12

Which of the following is the correct interval notation for the solution to $$x^2$$ \u003c 9$$?

Accepted Answer

$$(-3, 3)$$

Question 13

Which of the following is the correct solution to the inequality $$2x + 5 \u003e 9$$?

Accepted Answer

$$x \u003e 2$$

Question 14

Which of the following is the correct solution to the equation $$x^2 + 4x + 4 = 0$?

Accepted Answer

$$x = -2$$

Question 15

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

Accepted Answer

$$x = 4 or$$ $$x = -4$$

Question 16

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

Accepted Answer

$$x = 0 or$$ $$x = -2$$

Question 17

Which of the following is the correct solution to the equation $$x^2 - 5x = 0$?

Accepted Answer

$$x = 0 or$$ $$x = 5$$

Question 18

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

Accepted Answer

$$x = -3$$

Question 19

Which of the following is the correct solution to the equation $$x^2 - 1 = 0$?

Accepted Answer

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

College Algebra Unit Test 1 Review: Key Concepts and Study Guide

Guida di studio - Domande di pratica

Study guide - Flashcard