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Algebra 2 1-2 Guided Practice: Properties of Real Numbers

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Last updated over 3 years ago
19 questions
3
3
10
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3
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Question 1
1.

10
Question 2
2.

Solve It! How can you describe a set that includes five of the emoticons shown, but not the sixth?

Question 3
3.

Question 4
4.

Take Note: Classify each number below based on the subset of the real numbers that provides the most information about the number. In other words, only place each number into the smallest subset to which it belongs.

  • -782
  • 0
  • 5
  • -\frac{7}{5}
10
Question 5
5.

Problem 1 Got It?

Question 6
6.

Question 7
7.

Problem 2 Got It? Graph and label each of the numbers on the number line provided on the canvas. Use a color other than black.

Question 8
8.

Question 9
9.

Take Note: Match each inequality symbol with its name.

Draggable itemarrow_right_altCorresponding Item
>
arrow_right_alt
is less than
\leq
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is greater than
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Question 10
10.

Problem 3 Got It? Fill in the blank to compare the two numbers below.

Question 11
11.

Question 12
12.

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Question 13
13.

Take Note: Define opposite (or additive inverse).

10
Question 14
14.

10
10
Question 17
17.

Draggable itemarrow_right_altCorresponding Item
arrow_right_alt
arrow_right_alt
arrow_right_alt
arrow_right_alt
arrow_right_alt
arrow_right_alt
arrow_right_alt
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Question 18
18.

Problem 4 Got It? Which property does the equation illustrate?

10
Question 19
19.

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Video Check: Select all that apply with regards to the video embedded directly above this item.
🕵️ I carefully watched the entire video.
📵 I removed distractions from my field of view while watching the entire video.
🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.
✋ I sought clarification, as needed, to understand each concept in the video.
🎓 I understand each concept in the video and feel ready to move on.
🎯 I feel prepared to complete challenging problems related to the video.
❌ None of these statements apply.
Video Check: Select all that apply with regards to the video embedded directly above this item.
🕵️ I carefully watched the entire video.
📵 I removed distractions from my field of view while watching the entire video.
🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.
✋ I sought clarification, as needed, to understand each concept in the video.
🎓 I understand each concept in the video and feel ready to move on.
🎯 I feel prepared to complete challenging problems related to the video.
❌ None of these statements apply.
Rational Numbers
Integers
Whole Numbers
Natural Numbers
B
C
D
Video Check: Select all that apply with regards to the video embedded directly above this item.
🕵️ I carefully watched the entire video.
📵 I removed distractions from my field of view while watching the entire video.
🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.
✋ I sought clarification, as needed, to understand each concept in the video.
🎓 I understand each concept in the video and feel ready to move on.
🎯 I feel prepared to complete challenging problems related to the video.
❌ None of these statements apply.
Video Check: Select all that apply with regards to the video embedded directly above this item.
🕵️ I carefully watched the entire video.
📵 I removed distractions from my field of view while watching the entire video.
🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.
✋ I sought clarification, as needed, to understand each concept in the video.
🎓 I understand each concept in the video and feel ready to move on.
🎯 I feel prepared to complete challenging problems related to the video.
❌ None of these statements apply.
<
is less than or equal to
\geq
is greater than or equal to
Problem 3 Got It? Reasoning: Let a, b, and c be real numbers such that a < b and b < c.

How do a and c compare?
a > c
a < c
There is not enough information to compare a and c.
Video Check: Select all that apply with regards to the video embedded directly above this item.
🕵️ I carefully watched the entire video.
📵 I removed distractions from my field of view while watching the entire video.
🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.
✋ I sought clarification, as needed, to understand each concept in the video.
🎓 I understand each concept in the video and feel ready to move on.
🎯 I feel prepared to complete challenging problems related to the video.
❌ None of these statements apply.
Take Note: Provide an example pair of opposites (or additive inverses).
Question 15
15.

Take Note: Define reciprocal (or multiplicative inverse).

Question 16
16.

Take Note: Provide an example pair of reciprocals (or multiplicative inverses).

Take Note: Take a moment to review the Properties of Real Numbers and add them to your notes.
Take Note: Let a, b, and c be real numbers. Use the Properties of Real Numbers to match equivalent expressions.
z+0
y+x
x(y+z)
x+(y+z)
z\cdot\frac{1}{z}
x(yz)
(xy)z
z
y\cdot1
y
(x+y)+z
0
x+(-x)
1
x+y
xy+xz