Algebra 2 1-6 Guided Practice: Absolute Value Equations and Inequalities

Last updated over 3 years ago

22 questions

3

10

A.SSE.1.b

3

10

A.SSE.1.b

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A.SSE.1.b

3

10

A.SSE.1.b

10

Library

Algebra 2 1-6 Guided Practice: Absolute Value Equations and Inequalities

Last updated over 3 years ago

22 questions

3

10

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?

A.SSE.1.b

3

10

Take Note: Define absolute value.

10

Take Note: Provide an example pair of numbers that have the same absolute value.

10

Problem 1 Got It? What is the solution of the equation? Graph the solution on the canvas.

|3x + 2| = 4

Include relevant graph detail.

A.SSE.1.b

3

10

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.

A.SSE.1.b

3

10

Take Note: What is an extraneous solution?

10

Take Note: How can you check for extraneous solutions?

10

Problem 3 Got It?

A.SSE.1.b

3

10

Take Note: The compound inequality
|x|>5
can be written as two separate inequalities without absolute value symbols. Identify those inequalities below.

10

Problem 4 Got It? What is the solution of the inequality? Graph the solution on the canvas.

|3x - 4| < 8

Include relevant graph detail.

A.SSE.1.b

3

10

Problem 5 Got It? What is the solution of the inequality? Graph the solution on the canvas.

|5x + 10| > 15

Include relevant graph detail.

A.SSE.1.b

10

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 a gap in the middle.
The graph has no gap in the middle.
The graph has arrows pointing in opposite directions.
The graph has no arrows.

Accurate statements

10

Take Note: Match the absolute value symbols, definitions, and graphs with their equivalent counterparts below.

Draggable item		Corresponding Item
The distance from x to 0 is less than a units.		The distance from x to 0 is less than or equal to a units.
		\|x\|\geq a

10

Problem 6 Got It?

A.CED.1

10

🧠 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.

10

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?

A.SSE.1.b

Video Check: Select all that apply with regards to the video embedded directly above this item.

10

Take Note: Define absolute value.

10

Take Note: Provide an example pair of numbers that have the same absolute value.

10

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.

Problem 1 Got It? What is the solution of the equation? Graph the solution on the canvas.

|3x + 2| = 4

Include relevant graph detail.

Video Check: Select all that apply with regards to the video embedded directly above this item.

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.

Video Check: Select all that apply with regards to the video embedded directly above this item.

10

Take Note: What is an extraneous solution?

10

Take Note: How can you check for extraneous solutions?

10

Problem 3 Got It?

A.SSE.1.b

Video Check: Select all that apply with regards to the video embedded directly above this item.

10

Take Note: The compound inequality
|x|>5
can be written as two separate inequalities without absolute value symbols. Identify those inequalities below.

Problem 4 Got It? What is the solution of the inequality? Graph the solution on the canvas.

|3x - 4| < 8

Include relevant graph detail.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 5 Got It? What is the solution of the inequality? Graph the solution on the canvas.

|5x + 10| > 15

Include relevant graph detail.

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 a gap in the middle.
The graph has no gap in the middle.
The graph has arrows pointing in opposite directions.
The graph has no arrows.

Accurate statements

Take Note: Match the absolute value symbols, definitions, and graphs with their equivalent counterparts below.

Draggable item		Corresponding Item
The distance from x to 0 is less than a units.		The distance from x to 0 is less than or equal to a units.
		\|x\|\geq a
\|x\|\leq a
The distance from x to 0 is a units.

10

Problem 6 Got It?

A.CED.1

10

🧠 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.

133 ft

123 ft

276 ft

396 ft

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: Translate the word phrase into a mathematical expression.

the absolute value of 5x

Hint: See the key above Enter/Return for absolute value bars.

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.

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.

x<-5

x>5

x>-5

x<5

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.

|x|\leq a

The distance from x to 0 is a units.

B

C

D

Algebra 2 1-6 Guided Practice: Absolute Value Equations and Inequalities

Algebra 2 1-6 Guided Practice: Absolute Value Equations and Inequalities

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?

Take Note: Define absolute value.

Take Note: Provide an example pair of numbers that have the same absolute value.

Problem 1 Got It? What is the solution of the equation? Graph the solution on the canvas.|3x + 2| = 4Include relevant graph detail.

Problem 2 Got It? What is the solution of the equation? Graph the solution on the canvas.2|x + 9| + 3 = 7Include relevant graph detail.

Take Note: What is an extraneous solution?

Take Note: How can you check for extraneous solutions?

Problem 3 Got It?

Take Note: The compound inequality |x|>5can be written as two separate inequalities without absolute value symbols. Identify those inequalities below.

Problem 4 Got It? What is the solution of the inequality? Graph the solution on the canvas.|3x - 4| < 8Include relevant graph detail.

Problem 5 Got It? What is the solution of the inequality? Graph the solution on the canvas.|5x + 10| > 15Include relevant graph detail.

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

Take Note: Match the absolute value symbols, definitions, and graphs with their equivalent counterparts below.

Problem 6 Got It?

🧠 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.

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?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Define absolute value.

Take Note: Provide an example pair of numbers that have the same absolute value.

Take Note: Translate the word phrase into a mathematical expression.the absolute value of 5xHint: See the key above Enter/Return for absolute value bars.

Problem 1 Got It? What is the solution of the equation? Graph the solution on the canvas.|3x + 2| = 4Include relevant graph detail.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 2 Got It? What is the solution of the equation? Graph the solution on the canvas.2|x + 9| + 3 = 7Include relevant graph detail.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: What is an extraneous solution?

Take Note: How can you check for extraneous solutions?

Problem 3 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: The compound inequality |x|>5can be written as two separate inequalities without absolute value symbols. Identify those inequalities below.

Problem 4 Got It? What is the solution of the inequality? Graph the solution on the canvas.|3x - 4| < 8Include relevant graph detail.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 5 Got It? What is the solution of the inequality? Graph the solution on the canvas.|5x + 10| > 15Include relevant graph detail.

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

Take Note: Match the absolute value symbols, definitions, and graphs with their equivalent counterparts below.

Problem 6 Got It?

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

Problem 1 Got It? What is the solution of the equation? Graph the solution on the canvas.

|3x + 2| = 4

Include relevant graph detail.

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.

Take Note: The compound inequality
|x|>5
can be written as two separate inequalities without absolute value symbols. Identify those inequalities below.

Problem 4 Got It? What is the solution of the inequality? Graph the solution on the canvas.

|3x - 4| < 8

Include relevant graph detail.

Problem 5 Got It? What is the solution of the inequality? Graph the solution on the canvas.

|5x + 10| > 15

Include relevant graph detail.

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

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

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.

Problem 1 Got It? What is the solution of the equation? Graph the solution on the canvas.

|3x + 2| = 4

Include relevant graph detail.

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.

Take Note: The compound inequality
|x|>5
can be written as two separate inequalities without absolute value symbols. Identify those inequalities below.

Problem 4 Got It? What is the solution of the inequality? Graph the solution on the canvas.

|3x - 4| < 8

Include relevant graph detail.

Problem 5 Got It? What is the solution of the inequality? Graph the solution on the canvas.

|5x + 10| > 15

Include relevant graph detail.

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

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