Welcome! Agenda Warm Up Algebraic Properties Notes

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Presentation transcript:

Welcome! Agenda Warm Up Algebraic Properties Notes Solving Multi-Step Equations Notes Solving Multi-Step Equations CW

Notebook example Ex.1 Ex.2 Ex.3 Ex.4 Ex.5

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.

Substitution Property of Equality Symmetric Property of Equality 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” **

Ex. Of proof using properties

Ex. Of 2 Column proof using properties

Ex.1 Solve for b and Justify each step -b + 9 = 10b

Ex.2 Solve for x and justify each step 5x – 3 = 2x + 12

Ex.3 Solve for h and justify each step $60 + $1.50h = $5.50h

Ex.4 Solve for y and justify each step

Ex.5 Solve for a and justify each step 𝑎 7 − 5 7 = 6 7

Ex.6 Solve for m and justify each step 𝑚 6 −7= 2 3

Practice: Solve for x and justify each step 2 3 𝑥− 5 8 𝑥=2

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.

Ex.8 SOLVE For x 3x = 3 (x+4)

MULTI-STEP EQUATION SUMMARY 3 Types 1) 1 solution 2) ∞ Solutions- Identity 3) No Solution

Will be graded as a Classwork Grade- 10% Classwork/ homework Handout: “Solving Multi-Step Equations” You must show Work on Another page with Justifications Will be graded as a Classwork Grade- 10%