3/29/07Ms. Waters

3/29/07Ms. Waters Objectives To apply the properties of equality To simplify expressions using addition, subtraction, multiplication and division. To solve simple multi-step equations. Sunshine State Standards MA.A MA.D MA.D.2.3.2

3/29/07Ms. Waters To solve two-step equations, you want to get the variable alone on one side of the equal sign using properties of equality and inverse operations. Vocabulary: Addition Property of Equality- If you add the same value to each side of an equation, the two sides remain equal.

3/29/07Ms. Waters Subtraction Property of Equality If you subtract the same value from each side of an equation, the two sides remain equal. If a = b, then a - c = b - c Vocabulary

3/29/07Ms. Waters Vocabulary Multiplication Property of Equality If you multiply each side of an equation by the same number, the two sides remain equal.

3/29/07Ms. Waters Vocabulary Division Property of Equality If you divide each side of an equation by the same nonzero number, the two sides remain equal. If a = b, then a = b c

3/29/07Ms. Waters Lets practice the properties we just learned about. Check

3/29/07Ms. Waters Vocabulary Inverse Operations Operations that undo each other. - is the inverse operation of? ÷ is the inverse operation of? + x

3/29/07Ms. Waters The order of solving a two-step equation is the reverse of the order of operations. First undo addition or subtraction Then, undo multiplication or division

3/29/07Ms. Waters What would the previous equation look like if we used physical models to express it? Remember: = 0 + 2x x = 4