3.1 ­ 3.3 Solving Equations

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Warm Up1. Simplify the following:

a. b.

c. Write and simplify an expression for the perimeter of the figure:

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3.1-3.3 solving equationsLearning Targets

1. I can solve multi­step equations and inequalities.

2. I can identify the properties of addition, multiplication, and equality.

3. I can translate verbal expressions into mathematical expressions.

3.1 ­ 3.3 Solving Equations

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Linear Equations

Variable is raised to the first power, and does not occur in a denominator, inside a square root symbol, or inside absolute value symbols.

LINEAR NOT LINEAR

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3.1 ­ 3.3 Solving Equations

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Addition and Subtraction Equations:

Whatever you do to one side, you must do to the other.

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Addition and Subtraction are INVERSE operations

*Addition "undoes" Subtraction

3.1 ­ 3.3 Solving Equations

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Example 1: Solve

Example 2: Solve

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Example 3:

The average 12­to­17­year­old spends 645 minutes per month on a personal computer. This is 732 fewer minutes per month than the average 18­to­24­year­old spends. How many minutes per month does the average 18­to­24­year­old spend on a personal computer?

3.1 ­ 3.3 Solving Equations

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Multiplication and Division Equations

Multiplication and Division are INVERSE Operations

*Multiplication "undoes" Division

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Example 4:

Example 5:

3.1 ­ 3.3 Solving Equations

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Example 6:

Example 7:

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Multi­Step Equations

• Simplify one or both sides of the equation (if needed)

• Use inverse operations to isolate the variable

3.1 ­ 3.3 Solving Equations

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Example 8:

Example 9:

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3.1 ­ 3.3 Solving Equations

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Sep 8­10:30 PM

recap1. Today we discussed how many Properties of Equality? _____

2. Addition and Subtraction are considered _________ ___________ because they undo each other.

3. This property of equality states that if a=b, then a ­ c = b ­ c _____________

3.1 ­ 3.3 Solving Equations

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September 09, 2016

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Challenge QuestionThe school band needs to buy new percussion equipment. The equipment will cost $2000. You have collected $800 in previous

fundraisers. If you sell sandwiches at $4 each, how many sandwiches will you need to sell to raise the remaining funds?

Sep 8­10:36 PM

homework

Textbook page 148­149 #23­39 odd