1.3 Solving Equations

1. 1.3 Solving Equations

2. Remember those good ‘ol times last year in Geometry???

3. Algebraic Properties of Equality Addition Property If a=b, then a+c = b + c Subtraction Property If a=b, then a-c = b-c Multiplication Property If a=b then ac = bc Division Property If a=b and c does not = 0, then

4. Algebraic Properties of Equality Reflexive Property For any real number a, a = a Symmetric Property If a =b, then b=a Transitive Property If a=b and b=c, then a=c Substitution Property If a=b, then a can be substituted for b in any equations or expression

5. SOLVING EQUATIONS THE GOLDEN RULE: Do unto one side of the equation what you do to the other. Or: The “I Want Cake Too” Theorem 3(x – 5) + 1 = 2x – 4 Given 3x – 15 + 1 = 2x – 4 3x – 14= 2x – 4 3x = 2x +10 x = 10

6. EX – multistep equation FRACTION BUSTING Magic # = -35

7. EX – solving formulasSolve for b1 OR

8. Ex – solving formulas againSolve for x ax – y + bx = cx + yx ax – cx – yx – y + bx = 0 ax – cx – yx + bx – y = 0 ax – cx – yx + bx = y x(a – c – y + b) = y