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 Dependent Variable

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# Multiplication Property of Equality

## Properties of Equality

1. MULTIPLICATION PROPERTY: If A = B is true then A Â· C = B Â· C is true.

a) If x = 2 then x Â· 5 = 2 Â· 5

b) If x + 3 = 5 then (x + 3) Â· (- 3) = 5 Â· (- 3).

2. TRANSITIVE PROPERTY: If A = B and B = C is true then A = C is true.

The transitive property is also called the â€œsubstitutionâ€ property.

We sometimes say that â€œQuantities equal to the same thing are equal to each other.â€

a) If x = 7 Â· 5 and 7 Â· 5 = 35 then x = 35

b) If 2x = 4 Â· 9 and 4 Â· 9 = 36 then 2x = 36

We will also apply the Basic Number Properties. In particular,

Use the â€œInverseâ€ Property of Multiplication (reciprocal)

This will be referred to by a â€œcodeâ€: Multiply Recip

Definition of Division:

To divide: Change to MULTIPLY by the reciprocal

a Ã· b