Learning Target: How can we solve absolute value equations, and what do the solutions represent in different contexts? Essential Question: Students will be able to solve absolute value equations and identify when they result in one solution, two solutions, or no solution, and represent these solutions on a number line.

Show your work for credit.

Absolute Value

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Vocabulary Review: Mark each statement as True or False.

False
True

To indicate the absolute value of -8, you write |-8|.
The absolute value of -8 is -8, since -8 is 8 units from 0 on the number line.
The absolute value of -8 is 8, since -8 is 8 units from 0 on the number line.
According to the definition of absolute value, if |r|= 3, then r = 3 or r = -3.

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The definition of absolute value is...

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Find the absolute value of this expression:

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Find the absolute value of this expression:

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Find the absolute value of this expression:

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Find the absolute value of this expression:

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Find the absolute value of this expression:

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Find the absolute value of this expression:

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Find the absolute value of this expression:

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Find the absolute value of this expression:

Solving Absolute Value Equations

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What are the 4 steps to solve an Absolute Value Equations?

1.

2.

3.

4.

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Solve this absolute Value equation:

null

+ Case

- Case

Write your answer in set notation

x=

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Solve this absolute Value equation:

null

+ Case

- Case

Write your answer in set notation

h=

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Solve this absolute Value equation:

null

+ Case

- Case

Write your answer in set notation

n=

Day 2 10/2/24

Absolute Value Special Cases

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In math, is there a difference between distance and direction?

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Explain why this is not possible:
|x|= - 6

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Solve this absolute Value equation:

-3|2x+1|=21

Does this have a solution?

+ Case (If no solution exists, then write "no solution")

- Case (If no solution exists, then write "no solution")

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Solve this absolute Value equation:

-3|2x+1|=-21

Does this have a solution?

+ Case (If no solution exists, then write "no solution")

- Case (If no solution exists, then write "no solution")

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Solve this absolute Value equation:

-5|4x-3|=-45

Does this have a solution?

+ Case (If no solution exists, then write "no solution")

- Case (If no solution exists, then write "no solution")

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Solve this absolute Value equation:

|3b+9|-16=-45

Does this have a solution?

+ Case (If no solution exists, then write "no solution")

- Case (If no solution exists, then write "no solution")

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Solve this absolute Value equation:

-|3b+9|-16=-45

Does this have a solution?

+ Case (If no solution exists, then write "no solution")

- Case (If no solution exists, then write "no solution")

Learning Log

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Essential Question:
What was the Essential Question of this assignment?
(Use complete sentences for full credit)

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Learning Outcomes
What is one thing you learned?
(Use complete sentences for full credit)

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Summarize the Topic
What was this lesson about?
(Use complete sentences for full credit)

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1.3 Solving Absolute Value Equations (Due 10/4/24)

Absolute Value

Day 2 10/2/24

Absolute Value Special Cases

1.3 Solving Absolute Value Equations (Due 10/4/24)

Absolute Value

Vocabulary Review: Mark each statement as True or False.

The definition of absolute value is...

Find the absolute value of this expression:

Find the absolute value of this expression:

Find the absolute value of this expression:

Find the absolute value of this expression:

Find the absolute value of this expression:

Find the absolute value of this expression:

Find the absolute value of this expression:

Find the absolute value of this expression:

Solving Absolute Value Equations

Day 2 10/2/24

Absolute Value Special Cases

In math, is there a difference between distance and direction?

Explain why this is not possible:|x|= - 6

-3|2x+1|=21

-3|2x+1|=-21

-5|4x-3|=-45

|3b+9|-16=-45

-|3b+9|-16=-45

Learning Log

Essential Question:What was the Essential Question of this assignment?(Use complete sentences for full credit)

Learning OutcomesWhat is one thing you learned?(Use complete sentences for full credit)

Summarize the TopicWhat was this lesson about?(Use complete sentences for full credit)

Vocabulary Review: Mark each statement as True or False.

The definition of absolute value is...

Find the absolute value of this expression:

Find the absolute value of this expression:

Find the absolute value of this expression:

Find the absolute value of this expression:

Find the absolute value of this expression:

Find the absolute value of this expression:

Find the absolute value of this expression:

Find the absolute value of this expression:

Solving Absolute Value Equations

In math, is there a difference between distance and direction?

Explain why this is not possible:|x|= - 6

-3|2x+1|=21

-3|2x+1|=-21

-5|4x-3|=-45

|3b+9|-16=-45

-|3b+9|-16=-45

Learning Log

Essential Question:What was the Essential Question of this assignment?(Use complete sentences for full credit)

Learning OutcomesWhat is one thing you learned?(Use complete sentences for full credit)

Summarize the TopicWhat was this lesson about?(Use complete sentences for full credit)

1 Question I have.1 question I have is...(Must be a question)ORWhat was the hardest part of the assignment?

1 Question I have.1 question I have is...(Must be a question)ORWhat was the hardest part of the assignment?

Explain why this is not possible:
|x|= - 6

Essential Question:
What was the Essential Question of this assignment?
(Use complete sentences for full credit)

Learning Outcomes
What is one thing you learned?
(Use complete sentences for full credit)

Summarize the Topic
What was this lesson about?
(Use complete sentences for full credit)

Explain why this is not possible:
|x|= - 6

Essential Question:
What was the Essential Question of this assignment?
(Use complete sentences for full credit)

Learning Outcomes
What is one thing you learned?
(Use complete sentences for full credit)

Summarize the Topic
What was this lesson about?
(Use complete sentences for full credit)

1 Question I have.
1 question I have is...
(Must be a question)
OR
What was the hardest part of the assignment?

1 Question I have.
1 question I have is...
(Must be a question)
OR
What was the hardest part of the assignment?