Algebra 2 1-6 Guided Practice: Absolute Value Equations and Inequalities
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Last updated about 3 years ago
22 questions
3 points
3
Question 1
1.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 2
2.
Solve It! You are riding in an elevator and decide to find out how far it travels in 10 minutes. You start on the third floor and record each trip in the table. Each floor is 12 ft high. How far did the elevator travel in all?
3 points
3
Question 3
3.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 4
4.
Take Note: Define absolute value.
10 points
10
Question 5
5.
Take Note: Provide an example pair of numbers that have the same absolute value.
10 points
10
Question 6
6.
Take Note: Translate the word phrase into a mathematical expression.
the absolute value of 5x
Hint: See the key above Enter/Return for absolute value bars.
10 points
10
Question 7
7.
Problem 1 Got It? What is the solution of the equation? Graph the solution on the canvas.
|3x + 2| = 4
Include relevant graph detail.
3 points
3
Question 8
8.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 9
9.
Problem 2 Got It? What is the solution of the equation? Graph the solution on the canvas.
2|x + 9| + 3 = 7
Include relevant graph detail.
3 points
3
Question 10
10.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 11
11.
Take Note: What is an extraneous solution?
10 points
10
Question 12
12.
Take Note: How can you check for extraneous solutions?
10 points
10
Question 13
13.
Problem 3 Got It?
3 points
3
Question 14
14.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 15
15.
Take Note: The compound inequality
|x|>5
can be written as two separate inequalities without absolute value symbols. Identify those inequalities below.
10 points
10
Question 16
16.
Problem 4 Got It? What is the solution of the inequality? Graph the solution on the canvas.
|3x - 4| < 8
Include relevant graph detail.
3 points
3
Question 17
17.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 18
18.
Problem 5 Got It? What is the solution of the inequality? Graph the solution on the canvas.
|5x + 10| > 15
Include relevant graph detail.
10 points
10
Question 19
19.
Problem 5 Got It? Without solving the inequality below, describe the graph of its solution by dragging the accurate statements from the left column.
|x - 3| > 2
The graph has no gap in the middle.
The graph has arrows pointing in opposite directions.
The graph has no arrows.
The graph has a gap in the middle.
Accurate statements
10 points
10
Question 20
20.
Take Note: Match the absolute value symbols, definitions, and graphs with their equivalent counterparts below.
Draggable item
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Corresponding Item
The distance from x to 0 is a units.
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The distance from x to 0 is less than or equal to a units.
The distance from x to 0 is less than a units.
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|x|\geq a
|x|\leq a
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arrow_right_alt
10 points
10
Question 21
21.
Problem 6 Got It?
10 points
10
Question 22
22.
🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?
