Notebook example

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Welcome!
Agenda
Warm Up Algebraic Properties Notes Solving Multi-Step Equations Notes Solving Multi-Step Equations CW
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Notebook example
Ex.1
Ex.2
Ex.3
Ex.4
Ex.5
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Algebraic properties
Properties of Equality Addition Property of
Equality If a b, then a c b
c. Subtraction Property of Equality If a b,
then a c b c. Multiplication Property of
Equality If a b, then ac bc. Division
Property of Equality If a b, then a/c b/c.
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Algebraic properties
Substitution Property of Equality If a b then
a can be substituted for b, and vice versa
Symmetric Property of Equality If a b, then b
a.
Distributive Property of Multiplication
a(b c) ab ac
On a step where you combine like terms, the
justification is Simplify
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Ex. Of proof using properties
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Ex. Of 2 Column proof using properties
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Ex.1 Solve for b and Justify each step

• -b 9 10b

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Ex.2 Solve for x and justify each step

• 5x 3 2x 12

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Ex.3 Solve for h and justify each step

• 60 1.50h 5.50h

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Ex.4 Solve for y and justify each step

• 5(y - 3) 19

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Ex.5 Solve for a and justify each step

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Ex.6 Solve for m and justify each step

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Practice Solve for x and justify each step

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Ex.7 SOLVE FOR Y

• 4 - 4y -4y 4

This is called Identity, it is exactly the same
on both sides. There are an infinite of
solutions. In fact, All Real Numbers will make
this equation true.
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Ex.8 SOLVE For x

• 3x 3 (x4)

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MULTI-STEP EQUATION SUMMARY

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Classwork/ homework

• Handout
• Solving Multi-Step Equations
• You must show Work on Another page with
  Justifications

Will be graded as a Classwork Grade- 10