This is an easy guide to follow to learn about what FOILING is, how to use it, to learn from example, to examine various practice problems, as well as to prepare for the NYS Regents with mixed practice at the end.

1. Integrated Algebra
What is FOIL? More Practice- EASY
“Did you get it?” - Three different explanations
“The FOIL Method is a process used in algebra to multiply two binomials. The lesson on the
Distributive Property, explained how to multiply a monomial or a single term such as 7 by a
binomial such as (4 + 9x).
But, what if there was a binomial instead of a single term outside of the parentheses? That
is, what if a binomial was being multiplied by another binomial? An example of this is given
below.
This is where the FOIL Method comes in:” (Algebra Help).
“To apply the FOIL method, you have to first identify and understand what terms we will be
talking about.
Here is what the letters in FOIL mean:
The term First means "the first terms in each binomial." In this
case, x and x are the First terms.
The term Outer means "the outer terms of the product expression." In this case, the first x
and 6 are the Outer terms.
The term Inner means "the inner terms of the product expression." In this case, the 4 and
the second x are the Inner terms.
The term Last means "the last terms in each binomial." In this case, 4 and 6 are the Last
terms.
So then, now that you have identified each of the components of FOIL, now all you do is
MULTIPLY the two terms for each letter of FOIL, and then add them up (there will be 4
products” (Math Concepts).

2. Integrated Algebra
What is FOIL? More Practice- EASY
Directions: On a separate piece of paper, answer ALL the problems below, and show your work.
1. (x + 1)(x + 2)
2. (x + 4)(x + 3)
3. (x + 6)(x + 2)
4. (x + 4)(x+4)
5. (x +0) (x+0)
6. (x +1) (x+1)
7. (x + 2)(x + 10)
8. (x+5) (x+30)
9. (x+10) (x+7)
10. (2x+1) (x+3)
11. (2x+ 9) (2x+8)
12. (3x+ 4) (4x+ 5)
Mixed Review
“13. Which property is illustrated by the statement: 14. The value of -32 is
[1] 9 [2] 3 [3] -9 [4] -3
14. What is the additive inverse of x - y?
[1] x + y [2] -x + y [3] x - y [4] -x – y
15. Solve for c and check: 5c - 4 - 2c + 1 = 8c + 2” (Regents Prep)
WORKS CITED
Regents prep, . (2012, ). Algebra 1. Retrieved
fromwww.regentsprep.org/Regents/math/ALGEBRA/math-ALGEBRA.htm.
Algebra help, . (2011, ). Simplifying using the foil method lessons.Retrieved from
http://www.algebrahelp.com/lessons/simplifying/foilmethod/.

3. Integrated Algebra
What is FOIL? More Practice- EASY
For full credit, copy the numbered problem into the corresponding box and show work.
1. 2.
3. 4.
5. 6.
7. 8.
9. 10.
11. 12.
15.