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Chapter 1 Solving Linear Equations 1.1 Solving Simple Equations To solve for an equations means… • To isolate the variable by doing inverse opertaions Equivalent Equations • Have the same solution The Addition Property of Equality if a = b, then a+c=b+c The Subtraction Property of Equality if a = b, then a -c = b -c Show your work exactly like this: Write the problem: Add same number to both sides of “=“: Write answer with box around it x+7=2 -7 -7 x = -5 1 3 x 2 2 1 1 3 1 x 2 2 2 2 3 1 x 2 2 4 2 2 2 2 m 9 3 2 2 6 2 m 9 9 9 9 4 m 9 The Multiplication Property of Equality If a = b, then ac = bc Division Property of Equality a b If a = b, then c c c0 Solve: 5x = 30 5 x 30 5 5 x6 Show your work exactly like this tonight Solve: -12x = -8 12 x 8 12 12 2 x 3 3 x 12 To solve an equation like: 4 Multiply both sides of the equation by the reciprocal of the coefficient 4 3 4 48 x 12 3 3 4 3 x 16 3 5 Solve: x 8 4 3 4 4 5 x 8 5 5 4 12 x 40 3 x 10 5 x 5 7 Solve: 1 5 1 x 35 Triangle Sum Theorem The sum of the measures of the interior angles of a triangle is 180°. mA + mB +mC = 180° A B C Homework • Textbook Page 7-9 (2-38) even