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Ch 8 Equations and Inequalities 8.1 Solving Equations with Rational Coefficients Algebraic Equation • Has an equal sign and a variable • Directions: Solve • Solution: a value for the variable that makes the equation true Properties of Equality Multiplication Property of Equality ab ca cb Division Property of Equality ab a b c c Inverse Operations • Undo each other • To under multiplication use the: Division Property of Equality • To under Division use the: Multiplication Property of Equality 1 7 x Example 1: Solve 2 2 7 1 2 Hint: x When you 1 1 2 1 divide fractions multiply by its reciprocal 14 x Example 2: Solve 6 3 m 7 14 7 6 7 3 m 6 7 6 14 2 2 -1 1 m 4 Example 3: Solve -19.6 =5.6x 19.6 5.6 x 5.6 5.6 3.5 x Example 4: Solve -20.9y = -250.8 20.9 y 250.8 20.9 20.9 y 12 Example 5: Kipton spent $116 on boxes of baseball cards. He paid $14.50 per box. Write and solve an equation to find how many boxes of cards Kipton bought. (price per box) ( Number of boxes) = Total (14.5)(b) =116 14.5b 116 14.5 14.5 b 8boxes Homework • Page 327 (12-40) even