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

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

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

4. 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

5. #1 Divide Each Side of an Equation
Solve 8x = -3 - 3 x = 8

6. #2 Multiply Each Side of an Equation
Solve 1
(-3)
(-3) - x =
180

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

8. #3 Multiply Each Side by a Reciprocal
Solve 1 1 5 1 m= 5
(-4) -
m = 20

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

10. 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