`You can use the M ultiplication and D ivision Properties o f Equality to solve equations.`

Division is the inverse of multiplication.

Pr o p er t y Multiplication and Division Properties of Equality

`Multiplication Property of Equality M u l t i p l y i n g e a c h s id e o f a n e q u a t io n b y th e`

s a m e n o n z e r o n u m b e r p r o d u c e s a n e q u iv a le n t e q u a t io n.

Algebra Example

F o r a n y r e a l n u m b e r s a, b, and c, X _ r, 3 z

iia = b, th e n a • c = b • c. | • 3 = 2 • 3y

`Division Property of Equality Dividing each side of an equation by the same nonzero`

num ber produces an equivalent equation.

Algebra Example

For any real num bers a, b, and c, such 5x = 20

that c 0 , i f a = b, then § = 5x^20

5 5

V J

How can a model

help you solve the

equation?

The model tells you that

you must divide 6.4 by

4 in order to solve the

equation Ax = 6.4.

`i.'`

`Pr o b l em 3 Solving an Equation Using Division I6R.IDDED RESPONSE`

What is the solution of Ax = 6.4?

`Ax = 6.4`

Ax 6.4

4 , Divide each side by 4.

x=1.6 Simplify.

`Got It? 3. W h a t is t h e s o lu t io n o f e a c h e q u a tio n? C h e c k y o u r a n s w e r,`

a. 10 = 1 5 * b. -3 .2 z = 14

`Pr o b l em 4 Solving an Equation Using Multiplication`

What is the solution of | = — 9?

Pl an _

How can a model

help you solve the

equation?

The model tells you that

you must multiply - 9

by 4 in order to solve the

equation \ = -9.

`y x........i`

I -9 I -9 I -9 I - n G o t It? 4. What is the solution of each equation? Check your answer.

`x`

4

`% = —9`

4= -9 • 4

`x = - 3 6`

`M u ltip ly each side by 4.`

`Simplify.`

`19 = 5 b.^ = 8`

`j L e s s o n 2 - 1 So l v i n g O n e - St e p Eq u a t i o n s □ 83`

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