All GED Math Resources
Example Questions
Example Question #386 : Algebra
Expand the expression
You can use the FOIL method to expand the expression
F:First
O: Outer
I: Inner
L:Last
L-Last
F:
O:
I:
L:
Example Question #41 : Foil
Simplify the following with FOIL
Remember, FOIL stands for First-Outer-Inner-Last
Multiply the first terms
Multiply the outer terms
Multiply the inner terms
Multiply the last terms
Now we simply add them all together
And combine like-terms
Example Question #941 : Ged Math
Expand:
None of the above
We distribute each term in each parentheses to the terms of the other parentheses.
We get:
Which Simplifies:
We will arrange these from highest to lowest power, and adding a sign in between terms based on the coefficient of each term:
So, the answer is
Example Question #942 : Ged Math
This is a quadratic equation, but it is not in standard form.
We express it in standard form as follows, using the FOIL technique:
Now factor the quadratic expression on the left. It can be factored as
where .
By trial and error we find that , so
can be rewritten as
.
Set each linear binomial equal to 0 and solve separately:
The solution set is .
Example Question #943 : Ged Math
Subtract:
can be determined by subtracting the coefficients of like terms. We can do this vertically as follows:
By switching the symbols in the second expression we can transform this to an addition problem, and add coefficients:
Example Question #944 : Ged Math
Add:
can be determined by adding the coefficients of like terms. We can do this vertically as follows:
Example Question #945 : Ged Math
Which of the following expressions is equivalent to the product?
Use the difference of squares pattern
with and :
Example Question #946 : Ged Math
Which of the following expressions is equivalent to the product?
Use the difference of squares pattern
with and :
Example Question #76 : Quadratic Equations
Simplify:
Start by factoring the numerator. Notice that each term in the numerator has an , so we can write the following:
Next, factor the terms in the parentheses. You will want two numbers that multiply to and add to .
Next, factor the denominator. For the denominator, we will want two numbers that multiply to and add to .
Now that both the denominator and numerator have been factored, rewrite the fraction in its factored form.
Cancel out any terms that appear in both the numerator and denominator.
Example Question #81 : Quadratic Equations
Simplify the following expression:
Start by factoring the numerator.
To factor the numerator, you will need to find numbers that add up to and multiply to .
Next, factor the denominator.
To factor the denominator, you will need to find two numbers that add up to and multiply to .
Rewrite the fraction in its factored form.
Since is found in both numerator and denominator, they will cancel out.