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Transparency 3. Click the mouse button or press the Space Bar to display the answers. Splash Screen. Example 3-3c. Objective. Solve subtraction equations. Example 3-3c. Vocabulary. None. Lesson 3 Contents. Example 1 Solve an Equation by Adding Example 2 Solve a Subtraction Equation - PowerPoint PPT Presentation

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Click the mouse button or press the Click the mouse button or press the Space Bar to display the answers.Space Bar to display the answers.

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Objective

Solve subtraction equations

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Vocabulary

None

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Example 1 Solve an Equation by Adding

Example 2 Solve a Subtraction Equation

Example 3 Use an Equation to Solve a Problem

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Write the equation.

+ 5

Ask “what is being done to the variable?”

The variable is being subtracted by 5

Do the inverse on each side to “undo” the subtraction

Bring down x - 5

1/3

x – 5

Add 5

= 10

Bring down = 10

Add 5

+ 5

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Bring down x

+ 5

1/3

x – 5 = 10 + 5

x

Combine “like” terms

+ 0

Bring down =

=

Combine “like” terms

15Use the Identity Property of Addition to add x + 0

x = 15Answer:

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Answer: w = 12

1/3

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Write the equation.

x – 5

Ask “what is being done to the variable?”

The variable is being subtracted by 5

Do the inverse on each side to “undo” the subtraction

2/3

Bring down x - 5

= -1

Add 5

+ 5

Bring down = -1

Add 5

+ 5

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x – 5

2/3

= -1 + 5 + 5

Bring down x

x

Combine “like” terms

+ 0

Bring down =

=

Combine “like” terms

4Use the Identity Property of Addition to add x + 0

x = 4Answer:

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Answer: d = 3

2/3

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The difference between the record high and the record low temperatures in Oregon is 173F. The record low temperature is –54F.

Determine process to use

The word “difference” tells us we need to subtract

Difference = high - low

3/3

Replace “difference” with 173

173

Bring down =

What is the record high temperature in degrees Fahrenheit?

Replace “high” with variable

= x

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The difference between the record high and the record low temperatures in Oregon is 173F. The record low temperature is –54F.

Difference = high - low

3/3

173

Bring down -

What is the record high temperature in degrees Fahrenheit?

= x - Replace “low” with -54(- 54)

Remember: With 2 negative signs, put them together to make addition

173 = x + 54

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Difference = high - low

3/3

173 = x - (- 54)

173 = x + 54

Ask “what is being done to the variable?”

The variable is being added by 54

Do the inverse on each side to “undo” the addition

Bring down 173

173

Subtract 54

- 54

Bring down = x + 54

= x + 54

Subtract 54

- 54

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Difference = high - low

3/3

173 = x - (- 54)

173 = x + 54

173 - 54= x + 54 - 54

Combine “like” terms

119

Bring down = x

= x

Combine “like” terms

+ 0

Use the Identity Property of Addition to add x + 0

119 = x

Add dimensional analysis

What is the record high temperature in degrees Fahrenheit?0 F

Answer:

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The difference between the age of Julie’s mother and Julie’s age is 27 years. Julie’s age is 6. What is the age of Julie’s mother?

Answer: x = 33 years

*

3/3

NOTE: Could also be 33 years = x

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Assignment

Lesson 9:3 Solving Subtraction Equations 12 - 33 All