ACT Math : FOIL
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Example Questions
Example Question #11 : Foil
FOIL:
By FOIL (First Outer Inner Last), we obtain –8x2 – 8x – 6x – 6.
Simplify: –8x2 – 14x – 6
Example Question #12 : Foil
What is the product of the two real solutions of x2 + 5x = 6?
6
–6
–1
1
–6
x2 + 5x – 6 = 0 factors to (x+6)(x–1) = 0.
Therefore, the two real solutions are x = –6 and x = 1. Their product is simply –6.
Example Question #13 : Foil
What is the value of (5 + 3i)(6 – 2i)?
12 + 8i
36 + 8i
16 – 2i
20 – 8i
24 + 8i
36 + 8i
We FOIL the equation to obtain 30 – 10i + 18i – 6i2, combining like terms and substituting i2 = –1, we obtain 36 + 8i.
Example Question #13 : Foil
Expand the following expression:
FOIL 
Then multiply it by 
Example Question #14 : Foil
Expand using FOIL:
Step One: Expand
Step 2: Use the FOIL method
First:
Outside:
Inside:
Last:
Sum the products:
Example Question #11 : Foil
Use the FOIL method to find the product. The answer must be in standard form.
Use the FOIL method to find the product. The answer must be in standard form.
Step 1: Use the FOIL method
First:
Outside:
Inside:
Last:
Add these to find the product:
Step 2: Write the product in standard form
Standard form means the terms are written from highest degree to lowest degree. You find the degree of a term by adding the exponents in the term.
Therefore:
Example Question #15 : Foil
Simplify:
Simplify:
Expand the equation and use the FOIL method:
First:
Outside:
Inside:
Last:
Sum the terms:
Example Question #18 : Foil
Use FOIL to expand out the following product:
FOIL stands for First, Inside, Outside, Last. So multiply the first terms together:
The outside terms:
The inside terms:
and the last terms:
Now combine like terms:
Example Question #16 : Foil
When 
In order to get the 
FOIL is technique for distributing two binomials. The letters stand for First, Outer, Inner, and Last.
"First" stands for multiply the terms which occur first in each binomial.
"Outer" stands for multiply the outermost terms in the product.
"Inner" stands for multiply the innermost two terms.
"Last" stands for multiply the terms which occur last in each binomial.
Then, we must simplify the like terms, as shown below:
Here, 
Example Question #20 : Foil
What is the product of:
Use FOIL to multiply the products.
First terms:
Outside terms:
Inside terms:
Last terms:
Now combine like terms:
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