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Inverse Operations VOCABULARY Example Definition 7 + 8 = 15, so addition and 15 - 7 = 8 and subtraction 15 - 8 = 7 Addition Property of Equality adding the same amount to each side of an equation results in a true equation When a + b = c, then c - a = b and c - b = a (Lesson 1-3, p. 19) Solving an equation means to find the value of the variable that makes both sides of an equation equal. To solve an equation, you must isolate the variable on one side of the equal sign. To do this, use inverse operations and the Addition or Subtraction Properties of Equality .

33 9n - 9 SCHOOL In Mrs. Garcia’s class, students can earn points for free books. Mrs. Garcia’s bulletin board shows how many points a student can earn. Sergio earned some As and some Bs. He had perfect attendance for the same number of weeks as he earned As. The expression 20a + 15b + 2(20a) represents the number of points that Sergio earned. Simplify the expression. 1OINTS:OU$AN&ARN "POINTS #POINTS $POINTS 1ERFECT"TTENDANCEINAWEEK 5WICEASMANYPOINTSASAN" 60a + 15b GO ON Lesson 3-3 Simplify Expressions 27 Vocabulary Check sentence.

Step 1 The operation shown is addition . The inverse operation is subtraction . Step 2 Subtract 17 from each side or add (-17) to each side. Step 3 Solve the equation using both methods.

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