GED Math : Algebra
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Example Questions
Example Question #37 : Foil
Multiply
We can use FOIL:
F: 
O: 
I: 
L: 
Example Question #38 : Foil
What is the degree of the polynomial represented as the product of the following two binomials?
A polynomial of degree 6.
A polynomial of degree 5.
A polynomial of degree 3.
A line.
A polynomial of degree 2
A polynomial of degree 5.
When the binomials are expanded, we get 
Example Question #39 : Foil
A rectangular prism-shaped box is given as having a width, 
First, we need to establish the dimensions of the box. We have the width, 
We need to find the area. The area of a rectangular prism is given as length times width times height. So, we can write
To set it up using FOIL, it can be arranged as 
Through FOIL, we get 
Example Question #381 : Algebra
Expand 
There are several ways to solve this problem. We shall keep it so the solution is accessible to FOIL.
This requires an extra step as opposed to more common FOIL questions. Here one is not tasked to multiply two binomials, but two binomials AND a monomial. Multiplication is commutative, meaning we can multiply the terms in any order. It would help to multiply the monomial, x, by one of the binomials, to get it into the form that can be used with FOIL.
So,
Then, 
Simplified, we have
Example Question #71 : Quadratic Equations
Multiply
Even though the expression uses letters in the place where it is common to find numbers, we should recognize it is still the multiplication of two binomials, and the FOIL process can be used here.
F:
O:
I:
L:
So we have
Example Question #72 : Quadratic Equations
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 #73 : Quadratic Equations
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 #1 : Simplifying Quadratics
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 
can be rewritten as
Set each linear binomial equal to 0 and solve separately:
The solution set is 
Example Question #74 : Quadratic Equations
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:
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