SAT Math : Distributive Property
Study concepts, example questions & explanations for SAT Math
All SAT Math Resources
Example Questions
Example Question #31 : Foil
Simplify:
Use FOIL:
Example Question #32 : Foil
What is a possible solution for 
Given
Given
First FOIL the first equation. FOIL means to multiply each term in the first binomial with each term in the second binomial.
Now solve the second equation for 
Substitute the equation for 
Distribute to eliminate the parentheses and simplify.
Now use the quadratic formula.
Given a quadratic in the form,
For this particular question,
From here recall that if the value under the radical sign equals zero than 
Therefore, set the value that is under the radical equal to zero and solve for 
Since the binomials containing 
Example Question #33 : Foil
Expand the following expression found below:
If a problem asks you to expand an expression, you must use the Distributive property. If you are using the FOIL method, you first multiply the first term in each parentheses by each other, followed by the outside terms, then the inside terms, and then the last terms. This is illustrated below.
First, you multiply 
Second, you multiply
Third, you multiply
Last, you multiply
Then you simply rearrange them in order of exponents to get
Example Question #34 : Distributive Property
Define an operation 
For all real 
How else could this operation be defined?
The problem is basically asking for two binomial expressions to be multiplied and the product to be simplified.
Multiply the two binomials in the definition of the operation using the FOIL method - multiplying each term in the first binomial by each term in the second, as follows:
F(irst):
O(uter):
I(nner):
L(last):
Add the terms and collect like terms:
All SAT Math Resources
