All Algebra 1 Resources
Example Questions
Example Question #31 : How To Use Foil In The Distributive Property
We usually use the FOIL method of distribution for expanding polynomials, but it is actually a property of numbers. Try to solve the product by foiling instead of computing directly.
Using the FOIL distribution method:
First:
Outer:
Inner:
Last:
Resulting in:
Example Question #32 : How To Use Foil In The Distributive Property
Expand and simplify.
Using the FOIL distribution method:
First:
Outer:
Inner:
Last:
Resulting in:
Combining like terms, the 's combine for a final answer of:
Example Question #33 : How To Use Foil In The Distributive Property
Expand and simplify.
Using the FOIL distribution method:
First:
Outer:
Inner:
Last:
Resulting in:
Combining like terms, the 's cancel for a final answer of:
Expressions of this form are commonly referred to as "difference of squares". If you can spot them, they are easy to expand and to factor because the middle terms always cancel.
Example Question #38 : Distributive Property
Expand by FOILing:
First:
Outside:
Inside:
Last:
Add the values together and combine like terms:
Example Question #4851 : Algebra 1
Expand by FOILing:
First:
Outside:
Inside:
Last:
Add the values together and combine like terms:
Example Question #4852 : Algebra 1
Use FOIL to combine like terms in the following expression:
FOIL (first, outside, inside, last) is a device to help students remember to multiply every term by every other term exactly one time. The steps of using FOIL progress as follows:
1) Multiply the first term of each parenthetical expression together:
2) Next, multiply the "outside" terms together:
Add that to the first product, since the terms are all being added together in the parentheses, and the distributive property requires that we maintain the sign:
3) Multiply the "inside" terms together:
Add that to the first two products:
4) Finally, multiply the last terms from each parenthetical expression together:
Add all of the terms together and combine like terms where possible:
Example Question #4853 : Algebra 1
Multiply the following expressions together using FOIL:
FOIL (first, outside, inside, last) is a device to help students remember to multiply every term by every other term exactly one time. The steps of using FOIL progress as follows:
1) Multiply the first term of each parenthetical expression together:
2) Next, multiply the "outside" terms together:
Add that to the first product, since the terms are all being added together in the parentheses, and the distributive property requires that we maintain the sign:
3) Multiply the "inside" terms together:
Add that to the first two products:
4) Finally, multiply the last terms from each parenthetical expression together:
Add all of the terms together and combine like terms where possible:
Example Question #4857 : Algebra 1
We usually use the FOIL method of distribution for expanding polynomials, but it is actually a property of numbers. Try to solve the product by foiling instead of computing directly.
Using the FOIL distribution method:
First:
Outer:
Inner:
Last:
Resulting in:
The 50's cancel leaving us with:
Example Question #4854 : Algebra 1
Expand and simplify.
Using the FOIL distribution method:
First:
Outer:
Inner:
Last:
Resulting in:
Combining like terms, the 's combine for a final answer of:
Example Question #4855 : Algebra 1
Use the FOIL method to simplify the expression .
Begin by considering the first part of this expression, . Multiplying the first terms gives
The product of the outside terms is and that of the inside terms is , and the product of the last terms is . Altogether, this yields
as the value of the first part of the expression.
Finally, we just need to add the value of the second part,
The final, simplified value of the expression is .
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