Solving Equations Using Multiplication and Division Objective: Students will solve linear equations using multiplication and division.

Algebra Standards: 8.EE.7 Solve Linear Equations involving one variable

Vocabulary Properties of equality: The rules of algebra used to transform equations into equivalent equations.

Transforming Equations Operation Original Equation Equivalent Equation 2 6 • Multiply each side of the equation by the same nonzero • Divide each side of the equation by the same nonzero number. x = 3 4x= 12 Multiply by ___ Divide by ___ x = ___ 2 4 3

#1 Divide Each Side of an Equation Solve 8x = -3 8 8 - 3 x = 8

#2 Multiply Each Side of an Equation Solve 1 (-3) (-3) - x = 180

Check Point: Solve the equation. 1 1 (7) (7) (-4) (-4) 42 = x - n = 28 1 1 3) 63 = 9x 4) -9r = -54 9 9 -9 -9 7 = x r = 6

#3 Multiply Each Side by a Reciprocal Solve 1 1 5 1 m= 5 (-4) - m = 20

Check Point: Solve the equation. 5) 6) 1 1 3 3 1 1 x= 3 (9) (-3) (3) = x x = 27 - 9 = x

PROPERTIES OF EQUALITY Addition Property If a = b, then ___ + c = ___ + c of Equality Subtraction Property If a = b, then ___ - c = ___ - c Multiplication Property If a = b, then c___ = c___ Division Property If a = b and c≠0, then a = b a b a b a b c c