Solving Multi-Step Equations with Like Terms and Parentheses

Let’s Review Simplifying equations involves three steps. Getting rid of fractions. – To get rid of a fraction from an equation multiply each term by the LCD. Getting rid of parentheses. – To get rid of parentheses from an equation, distribute. Getting rid of like terms that are on the same side of the equal sign. – Combine like terms by adding or subtracting using your integer rules. How to Simplify

Ex. 1 Any Fractions? – NO Any Parentheses? – YES - Then Distribute Any Like Terms? – NO Then ISOLATE Now SOLVE

Ex. 2 Any Fractions? – NO Any Parentheses? – YES - Then Distribute Any Like Terms? – YES - Combine Then ISOLATE Now SOLVE

Ex. 3 Any Fractions? – NO Any Parentheses? – YES - Then Distribute Any Like Terms? – YES - Combine Now ISOLATE

Ex. 4 Any Fractions? – NO Any Parentheses? – YES - Then Distribute Any Like Terms? – YES - Combine Now ISOLATE Then SOLVE

Ex. 5 Any Fractions? – NO Any Parentheses? – YES - Then Distribute Any Like Terms? – NO Then ISOLATE Now SOLVE AND round to two decimal places.

Ex. 6 Any Fractions? – NO Any Parentheses? – YES - Then Distribute Any Like Terms? – NO Then ISOLATE Now SOLVE

Ex. 7 Any Fractions? – NO Any Parentheses? – YES - Then Distribute Any Like Terms? – NO Then ISOLATE Now What???? What happened to the variables? The variables cancelled each other out. The statement left says 6=6. Is that true or false? Does that solution mean ALL REAL NUMBERS or NO SOLUTION?

If c = 10 Find f