AnswersOnline Learning and Digital CitizenshipUnit Test

Unit Test — Unit test Answers

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21
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Which tells when things are due and the timeframe for working on the project?

A
the chosen goals
B
the schedule
C
the research method
D
the requirements
22
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Which examples are relevant sources for students to use in research? Check all that apply.a journal entry written by a professor who is considered an experta report written by an independent government sourcea presentation by a company that includes paid informationa document published by a renowned organizationa scientific paper put out by a non-profit organizationa blog whose author tries to sell a product or service

A
a journal entry written by a professor who is considered an expert
B
a report written by an independent government source
C
a presentation by a company that includes paid information
D
a document published by a renowned organization
E
a scientific paper put out by a non-profit organization
F
a blog whose author tries to sell a product or service
23

Jonas is creating a presentation for students about volunteering. He wants to begin by speaking about the various opportunities available, but he also wants to use multimedia to engage the students.

A
a chart listing the volunteering opportunities and their benefits
B
a video in which students talk about volunteer experiences
C
a speech from the principal about volunteering
D
a timeline showing the history of volunteering
24

When working on a research project, the focus of the research should be based on

A
the goals.
B
the topic.
C
the method.
D
the schedule.
25

Which options should they choose during their evaluation process? Check all that apply.

A
a teacher’s aide who creates world population materials for a class
B
a professor who publishes world population research in a journal
C
a United Nations report that analyzes trends in the world’s population
D
a nonprofit that tracks how the world’s population affects policy decisions
E
a local news program that evaluates why some countries are overpopulated
26

What is x2 – 6 = 16x + 30 rewritten in standard form, then factored? | What value(s) of x make the equation true?

A
(x – 18)(x + 2) = 0
B
(x – 6)(x – 6) = 0
C
(x + 6)(x – 6) = 0
D
(x + 18)(x – 2) = 0
27

Which are solutions of the equation 4x2 – 7x = 3x + 24? Check all that apply. x = –4x = –3x = x = x = 2x = 4

Question illustration
A
x = –4
B
x = –3
C
x =
Option C
D
x =
Option D
E
x = 2
F
x = 4
28

A rectangle has a length that is 5 inches greater than its width, and its area is 104 square inches. The equation (x + 5)x = 104 represents the situation, where x represents the width of the rectangle.The first step in solving by factoring is to write the equation in standard form, setting one side equal to zero. What is the equation for the situation, written in standard form?

A
x2 – 99 = 0
B
x2 – 99x = 0
C
x2 + 5x + 104 = 0
D
x2 + 5x – 104 = 0
29

The product of two consecutive, negative integers is 182. | What equation represents the situation? | What are the two numbers?

A
x(x + 1) = –182
B
x(x + 1) = 0
C
x(x + 1) = 182
30

The product of two consecutive integers is 72. The equation x(x + 1) = 72 represents the situation, where x represents the smaller integer. Which equation can be factored and solved for the smaller integer?

A
x2 + x – 72 = 0
B
x2 + x + 72 = 0
C
x2 + 2x – 72 = 0
D
x2 + 2x + 72 = 0
31

–5–335

A
–5
B
–3
C
3
D
5
32

Which statement is true about the equation (x – 4)(x + 2) = 16?

A
The equation x – 4 = 16 can be used to solve for a solution of the given equation.
B
The standard form of the equation is x2 – 2x – 8 = 0.
C
The factored form of the equation is (x + 4)(x – 6) = 0.
D
One solution of the equation is x = –6.
33

What are the solutions of the equation 4x2 + 3x = 24 – x?

A
–3, 2, or 4
B
–3 or 2
C
–2, 3, or 4
D
–2 or 3
34

Figure [___]has 56 blocks.

Answer:

7

35

x(x – [___]) = 143

Answer:

2

36

Two negative integers are 5 units apart on the number line, and their product is 126. What is the sum of the two integers?

A
–23
B
–5
C
9
D
14
37

A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two congruent right triangles with areas of 44 square inches. Which statements are true? Check all that apply.The area of the rectangle is 88 square inches.The equation x(x – 3) = 44 can be used to solve for the dimensions of the triangle.The equation x2 – 3x – 88 = 0 can be used to solve for the length of the rectangle.The triangle has a base of 11 inches and a height of 8 inches.The rectangle has a width of 4 inches.

A
The area of the rectangle is 88 square inches.
B
The equation x(x – 3) = 44 can be used to solve for the dimensions of the triangle.
C
The equation x2 – 3x – 88 = 0 can be used to solve for the length of the rectangle.
D
The triangle has a base of 11 inches and a height of 8 inches.
E
The rectangle has a width of 4 inches.
38

Percy solved the equation x2 + 7x + 12 = 12. His work is shown below. Is Percy correct? Explain.1. (x + 3)(x + 4) = 12 2. x + 3 = 12 or x + 4 = 12 3. x = 9 or x = 8

Answer:

Percy is not correct because he tried to apply the zero product property to an equation that was not set equal to 0. He should have first subtracted 12 from both sides to get the equation in standard form, x^2 + 7x = 0. Then, he could factor it as x(x + 7) = 0. The correct solutions are x = 0 and x = -7.

39

What is x2 – 6 = 16x + 30 rewritten in standard form, then factored? | What value(s) of x make the equation true?

A
x = 6
B
= –18 or x = 2
C
= –6 or x = 6
D
x = –2 or x = 18
40

The product of two consecutive, negative integers is 182. | What equation represents the situation? | What are the two numbers?

A
–14 and –13
B
–1 and 0
C
13 and 14

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