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Example Questions
Example Question #1 : Linear Equations
Solve for :
can be simplified to become
Then, you can further simplify by adding 5 and to both sides to get
.
Then, you can divide both sides by 5 to get .
Example Question #1 : Systems Of Equations
What number is six less than eight more than one half of four times the square of the greatest negative integer?
Turn the word problem into math. Start at the end--what is the greatest negative integer? -1!
Example Question #2 : Systems Of Equations
Remember to cancel as you go--the 18 will cancel with the 27, the 4 will cancel with the 8, and so on:
Continue to reduce:
Example Question #1 : How To Find The Solution To An Equation
Solve for :
To solve for , you must first combine the
's on the right side of the equation. This will give you
.
Then, subtract and
from both sides of the equation to get
.
Finally, divide both sides by to get the solution
.
Example Question #3 : Systems Of Equations
Solve for :
First, use the distributive property to simplify the right side of the equation: . Then, subtract
and add 4 to both sides to separate the
's and the integers to get
. Divide both sides by 3 to get
.
Example Question #4 : Systems Of Equations
Solve for :
To solve for , first divide both sides by
:
. Then, subtract both sides by
to get
.
Example Question #5 : Systems Of Equations
Example Question #6 : Systems Of Equations
1. First simplify the first expression:
2. Then, simplify the next two expressions:
3. Finally, add and subtract:
Example Question #7 : Systems Of Equations
Solve for x.
1. First solve for the numerator by plugging in -2 for x:
2. Then, solve the denominator by combining the fractions:
3. Finally, "rationalize" the complex fraction by multiplying top and bottom by -2/5:
Example Question #8 : Systems Of Equations
If x/y is equivalent to 12/20, what is the value of x?
Multiply both sides by the denominator (2y +4) to cancel it:
Now, use substitution to solve for x:
Substitute 10x for 6y in the first equation:
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