All Algebra 1 Resources
Example Questions
Example Question #51 : Distributive Property
Multiply the following expression:
Start by using FOIL to multiply the two binomials:
Then, combine the middle terms of the trinomial in parentheses:
Finally, use the distributive property to multiply each term of the trinomial by :
Example Question #1 : Foil
Foil:
First:
Outside:
Inside:
Last:
Example Question #21 : Understanding Quadratic Equations
FOIL .
(2x + 3)(x + 5)
First: 2x multiplied by x = 2x²
Outer: 2x multiplied by 5 = 10x
Inner: 3 multiplied by x = 3x
Lasts: 3 multiplied by 5 = 15
Put it all together: 2x² + 10x + 3x + 15
Simplify: 2x² + 13x + 15
Example Question #1 : Equations
If the roots of a function are , what does the function look like in format?
No equation of this form is possible.
This is a FOIL problem. First, we must set up the problem in a form we can use to create the function. To do this we take the opposite sign of each of the numbers and place them in this format: .
Now we can FOIL.
First:
Outside:
Inside:
Last:
Then add them together to get .
Combine like terms to find the answer, which is .
Example Question #51 : Distributive Property
Expand:
Use the FOIL (First Outer Inner Last) method:
F:
O:
I:
L:
Put the terms together:
Simplify by combining like terms:
Example Question #52 : Distributive Property
Expand and then simplify:
Use the FOIL (First Outer Inner Last) method.
To start, focus on the first terms and multiply them together:
Next, multiply the last terms, and , to get .
Finally, multiply the outside and inside terms, which should give you and .
Combine the like terms:
This gives you the final answer, .
If instead your answer was , you simply forgot to subtract at the end. If you got a different answer choice, you probably made a mistake with the signs when multiplying out the FOIL.
Example Question #53 : Distributive Property
Simplify:
First, factor the numerator of the quotient term by recognizing the difference of squares:
Cancel out the common term from the numerator and denominator:
FOIL (First Outer Inner Last) the first two terms of the equation:
Combine like terms:
Example Question #1 : Write A Polynomial Function From Its Zeros
Create a cubic function that has roots at .
This can be written as:
Multiply the terms together:
Multiply the first two terms:
FOIL:
Combine like terms:
Example Question #31 : Simplifying Expressions
Evaluate the following to its simplest form:
None of the available answers
First we will foil the first function before distributing.
We will then distribute out the
We will then distribute out the
Now the only like terms we have are and , so our final answer is:
Example Question #72 : Expressions
Simplify the expression:
distributes to , multiplying to become , and distributes to , multiplying to make .
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