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Math

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## PowerPoint Slideshow about 'math' - schwa2aj

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Solve for a Variable

- A variable represents a number
- We do not know the number
- X will be the variable
- We will solve for X

Equation Form

- 2X + 4 = 10
- X – 3 = 7
- 5X – 10 = 20 – 5X

Solve for X

- Get X by itself
- Get X on only one side

- X = ?

Basic Rules

- Get X by itself
- Note: If you preform an operation to one side, you also must preform the same operation to the other side.

Lets Try Examples

- 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

Check the Answers

- 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

Solve for Inequalities

- What is an Inequalities
- < Less then
- > Greater then
- < Less then or equal to
- > Greater then or equal to

Examples of Inequalities

- X + 3 < 5
- 2X – 6 > 8
- 4X + 2 < 10
- -6X – 10 > 20

Solve for Inequality

- Solve same as Equation
- Get X by itself
- X = ?

Rules of Inequalities

- Same rules as equations
- With one exception:
- When dividing by a negative you must switch the direction of the sign.

Lets Try Examples

- 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

Graph an Inequality

- < = ) Less then
- > = ( Greater then
- < = ] Less then or equal
- >= [ Grater then or equal

Citations

- All Graphs
Schwark, Adam. Sept. 27 2011, creative commons

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