Lesson 7b (Solving Equations with Multiplication and Division

COMMON CORE ALGEBRA I (FINCH)
Multiplication Property of Equality
§  Multiplying each side of an equation by the
same number produces an equivalent equation.
§  Algebraic Example:
If a = b, and c ≠ 0, then ac = bc
§  Numerical Example:
x
x
If
= 4, then
Ÿ 3 = 4 Ÿ 3
3
3
Division Property of Equality
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§  Dividing each
side of an equation by the
same number produces an equivalent equation.
§  Algebraic Example:
b
a
If a = b, and c ≠ 0, then
=
c
§  Numerical Example:
2x
24
If 2x = 24, then
=
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2
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c