Objective: Lesson 10 Solving Equations

Do Now

Turn to page S.91

Do Now

S.92

Additive and Multiplicative Propertes of Equality

~ If a = b is true, then a + c = b + c is true for all real numbers c ~ If a = b is false, then a + c = b + c is false ~ If a = b is true, then ac = bc is true  ~ If a = b is false, then ac = bc is false for all non‐zero real numbers c

STAR THIS!!!!

Given:   |x|+ 5 = 2 Is the following true?          |x|+ 5 ‐ 5 = 2 ‐ 5?

Turn to page S.92

In addition to applying the commutative,  associative and distributive properties, what else  can be done to equations that does not change  the solution set?

Adding or subtracting a number to both sides

Multiplying or dividing by a non­zero number

These are called Properties of Equality

Set notation Lesson.pdf

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