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Algebra

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Aliyah Patel

on 18 March 2013

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Transcript of Algebra

Algebra Theory How to solve linear equations in one variable using algebra. A linear equation in one variable has a single unknown quantity called a variable represented by a letter. Ex. "x" is always the power of 1. Which means that there is no "x2" or "x3" in the equation. An equation is a statement that 2 quantities are equivlent. For example, this linear question: x + 1 = 4 means that we add 1 to the unknown value "x", the answer is equal to 4. To solve linear equations, you add, subtract, multiply, and divide both sides of the equation by numbers and and variables, so that you end up with sinlge variable on one side and a single number on the other. As long as you always do the same thing to BOTH sides of the equation, and do the operations in correct order, you will get your answer. For this example, we only need to subtract 1 from both sides of the equation in order to isolate the "x" and solve the equation.

x + 1 -1 = 4 - 1
Now simplifying both sides we have:
x + 0 = 3
So:
x = 3 Here are 3 examples: Exmaple 1:
x + 1 = -3
1. Subtract 1 from both sides.
x + 1 - 1 = -3 - 1
2. Simplify both sides.
x = -4 Example 2:
-2x = 12
1. Divide both sides by -2
-2x = 12
---- ----
-2 -2
2. Simplfy both sides.
x = -6 Example 3:
x
-- = -2
3
1. Mutliply both sides by 3.
x X 3
------= -2 x 3
2. Simplify both sides.
x = -6
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