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Math (Algebra)
1.
Algebra Solutions of
Equations and Inequalities By: Mr. Schwark
2.
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
3.
Equation Form 2X
+ 4 = 10 X – 3 = 7 5X – 10 = 20 – 5X
4.
Solve for X
Get X by itself - Get X on only one side X = ?
5.
How to Get
X Alone - Use Basic Math to Solve (−) Subtract (+) Add (x) Multiply (÷) Divide
6.
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.
7.
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
8.
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
9.
Solve for Inequalities
What is an Inequalities < Less then > Greater then < Less then or equal to > Greater then or equal to
10.
Examples of Inequalities
X + 3 < 5 2X – 6 > 8 4X + 2 < 10 -6X – 10 > 20
11.
Solve for Inequality
Solve same as Equation Get X by itself X = ?
12.
Rules of Inequalities
Same rules as equations With one exception: When dividing by a negative you must switch the direction of the sign.
13.
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
14.
Graph an Inequality
< = ) Less then > = ( Greater then < = ] Less then or equal >= [ Grater then or equal
15.
Examples of Graph
X > -2 X < -1 X < 0 X > 1
16.
Citations All Graphs
Schwark, Adam. Sept. 27 2011, creative commons
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