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# An equation remains true when both sides are operated on in the same way: - PowerPoint PPT Presentation

An equation remains true when both sides are operated on in the same way:. 1 + 2 = 3. + 4. + 4. 7 = 7. Be careful: 1 + 2 x 4 = 3 x 4 Is NOT TRUE. 1 + 2 = 3. - 4. - 4. -1 = -1. ( 1 + 2 ) = 3. x 4. x 4. 12 = 12. But: 1 x 4 + 2 x 4 = 3 x 4 Is TRUE.

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## PowerPoint Slideshow about ' An equation remains true when both sides are operated on in the same way:' - bernard-bray

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An equation remains true when both sides are operated on in the same way:

1 + 2 = 3

+ 4

+ 4

7 = 7

Be careful:

1 + 2 x 4 = 3 x 4

Is NOT TRUE

1 + 2 = 3

- 4

- 4

-1 = -1

( 1 + 2 ) = 3

x 4

x 4

12 = 12

But:

1 x 4 + 2 x 4 = 3 x 4

Is TRUE

( 1 + 2 ) = 3

4

4

0.75 = 0.75

Designed by Lukas van Veen

Find n in the following equation :

n + 3 = 7

4

Guess

How do I find the answer using algebra?

n + 3 = 7

+ 3

I want an answer in the form

n = ….

n + 3 = 7

- 3 - 3

I must remove

+3

n + 0 = 4

n =

4

1 + 2 = 3

- 2

Move + 2 to the other side and change its sign

n+ 3 = 7

- 3

Move + 3 to the other side and change its sign

n = 4

Designed by Lukas van Veen

Move – 0.75 to the other side and change its sign

m- 0.75 = 0.875

+ 0.75

m = 1.625

Move – 4.7 to the other side and change its sign

- 4.7 – h = 7.8

+ 4.7

– h = 12.5

Beware:

I want h,

NOT -h

– h = 12.5

-

Change

ALL signs

Designed by Lukas van Veen

Solve the equation 4n = 12

Remove 4 by dividing both sides by 4

4n = 12

4

4

n= 3

Solve the equation

Remove 3 by multiplying both sides by 3

x 3

x 3

Designed by Lukas van Veen

Solve the equation 2n + 5 = 11

Move 5 to the other side and change its sign

Remove 2 by dividing both sides by 2

2 n + 5 = 11

- 5

2 n= 6

2

2

Solve the equation

n = 3

- 4

- 3

- 3

m = 5

Designed by Lukas van Veen