Priscilla's Practical Math Help
!!!Make Linear Eguations Easy!!!
Example #1
| Write the equation. | 5x = 15 |
| Isolate the variable by dividing by 5. | 5x =
15
5 5 |
| Write the answer......... | x = 3 |
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Example #2
|
Write the equation. |
3x + 7x = 80 |
|
Add the two alike terms (x's) |
10x = 80 |
|
Divide both sides by 10 to isolate the x |
10x
= 80
10 10 |
|
The answer to x is left. |
x = 8 |
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Example #3
| Write the equation | 5x - 6 = 3x - 8 |
| add 6 to the other side | 5x
- 6 = 3x - 8
+6 +6 |
| Rewrite the equation..... | 5x = 3x - 2 |
|
subtract 3x, and add to the other
side (10x) |
5x
= 3x - 2
-3x -3x |
| Rewrite the equation..... | 2x = -2 |
|
Divide both sides by 2, to isolate
the x. |
x = -1 |
Literal
Equations Made Easy| Write
Equation.......
Solve for (S) |
A
= T R S
180 |
| Multiply
both sides by 180, to
eliminate the denominator |
(180)
A = T R S (180)
180 |
| Rewrite the problem..... | 180A = T R S |
| Divide
by "T" and "R" to isolate
the "S" |
180A
= T R S
T R T R |
| ReWrite the answer to "S'' | 180A
= S
T R |
~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*Example #2
|
Given the Equation.....
Solve for "a" |
Q = 3a + 5ac |
| Factor out the "a" | Q = a ( 3 + 5c ) |
| Divide both sides by 3 + 5c |
Q = a ( 3 + 5c )
3 + 5c 3 + 5c |
| Rewrite the answer... |
a = Q
3 + 5c |
!!!Take a look at the Equations
of a line!!!
| Slope Intercept | Y = mx + b |
| Point Slope | Y - Y1 = m (X - X1) |
| Standard Form | Ax + By = C |
~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*~Slope Intercept Form
| Given
Information...
Y = Mx + b |
( -1, -6) |
| Replace
the variables with
the given numbers |
(-6) = (4)(-1) + b |
| Solve for the variable "b" |
-6 = -4 + b
+4 +4 |
| Answer for "b" | -2 = b |
| Rewrite in slope Intercept form | Y = 4x -2 |
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Point
Slope Form
|
Given Information.....
Y - Y1 = m (X - X1) |
(
1, 4 ) m = -3
(slope) |
|
Replace "m" with the
slope given |
Y - Y1 = (-3) (X - X1) |
|
Substitute Y1
and X1 with
( 1, 4 ) |
Y1
= 4
X1 = 1 |
| Rewrite the problem... | Y - 4 = -3 (X - 1) |
*~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*Standard Form
|
Given Information....
Ax + By = C |
Y - 5 = -7 (x - 1 ) .......(PS form) |
| Distrubute the -7 | Y - 5 = -7x + 7 |
| add -5 to both sides | Y = -7x + 12 |
| Move -7x to the other side | 7x + 1y = 12 |
