1 / 16

# math - PowerPoint PPT Presentation

Math

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about 'math' - schwa2aj

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### Algebra

Solutions of Equations and Inequalities

By: Mr. Schwark

• A variable represents a number

• We do not know the number

• X will be the variable

• We will solve for X

• 2X + 4 = 10

• X – 3 = 7

• 5X – 10 = 20 – 5X

• Get X by itself

- Get X on only one side

• X = ?

- Use Basic Math to Solve

• (−) Subtract

• (x) Multiply

• (÷) Divide

• Get X by itself

• Note: If you preform an operation to one side, you also must preform the same operation to the other side.

• Ex 1

3X + 5 = 20

-5 -5

3X = 15

÷3 ÷3

X = 5

• Ex 2

1/2X – 10 = 0

+10 +10

1/2X = 10

x2 x2

X = 20

- Plug in your value for X -

• Ex 1

3(5) + 5 = 20

15 + 5 = 20

20 = 20

• Ex 2

½(20) – 10 = 0

10 – 10 = 0

0 = 0

• What is an Inequalities

• < Less then

• > Greater then

• < Less then or equal to

• > Greater then or equal to

• X + 3 < 5

• 2X – 6 > 8

• 4X + 2 < 10

• -6X – 10 > 20

• Solve same as Equation

• Get X by itself

• X = ?

• Same rules as equations

• With one exception:

• When dividing by a negative you must switch the direction of the sign.

• Ex 1

-2X – 10 < 4

+10 +10

-2X < 14

÷(-2) ÷(-2)

X > -7

• Ex 2

3X + 15 > 9

-15 -15

3X > -6

÷3 ÷3

X > -2

• < = ) Less then

• > = ( Greater then

• < = ] Less then or equal

• >= [ Grater then or equal

X < -1

X > -2

X < 0

X > 1

• All Graphs

Schwark, Adam. Sept. 27 2011, creative commons