M3-1.1 Equations with Variables on Both Sides.notebook · M31.1 Equations with Variables on Both...

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M31.1 Equations with Variables on Both Sides.notebook 1 March 18, 2019 Feb 244:56 PM page 7

Transcript of M3-1.1 Equations with Variables on Both Sides.notebook · M31.1 Equations with Variables on Both...

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M3­1.1 Equations with Variables on Both Sides.notebook

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M3­1.1 Equations with Variables on Both Sides.notebook

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learning targets

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M3-1.1 Equations with Variables on Both Sides

/ / #

Examples: Notes:

EQ: How can you solve equations when there are variables on both sides of the equation?

Addition Property of Equality• If a = b, • then a + c = b + c

Subtraction Property of Equality• If a = b, • then a - c = b - c

Multplication Property of Equality• If a = b, • then ac = bc

Division Property of Equality• If a = b and c ≠ 0• then

a = 3 & b = 3c = 2

3 + 2 = 3 + 2

a = 3 & b = 3c = 2

3 - 2 = 3 - 2

a = 3 & b = 3c = 2

3(2) = 3(2)

a = 3 & b = 3 c = 2

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M3­1.1 Equations with Variables on Both Sides.notebook

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M3-1.1 Equations with Variables on Both Sides

/ / #

Examples: Notes:

EQ: How can you solve equations when there are variables on both sides of the equation?

Inverse Operation: Operations that UNDO each other.• Addition & Subtraction• Multiplication & Division

Additive Identity Property of 0• add a number to zero, the result, or sum, is

that original number

MIPOO = Multiplicative Identity Property of One:• multiply a number by 1, the result, or

product, is that original number.

a

10 - 3 = 7 + 310 x 2 = 20 ÷ 2

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M3-1.1 Equations with Variables on Both Sides

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Examples: Notes:

EQ: How can you solve equations when there are variables on both sides of the equation?

Isolate the Variable: Getting the variable alone on one side of the equal sign.7 steps of algebra- Blue pages

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Remember!!

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Practice

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Practice

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Practice