Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #113 : How To Use Foil In The Distributive Property

Multiply. Select the answer that is equivalent to this expression.

Possible Answers:

Correct answer:

Explanation:

Remember, FOIL which stands for the multiplication of the first terms, outer terms, inner terms, and last terms.

First items: x and x

Outside items: x and 5

Inside items: -3 and x

Last items: -3 and 5

Example Question #114 : How To Use Foil In The Distributive Property

Multiply. Select the answer that is equivalent to this expression.

Possible Answers:

Correct answer:

Explanation:

Remember, FOIL which stands for the multiplication of the first terms, outer terms, inner terms, and last terms.

First items: x and x

Outside items: x and -4

Inside items: 4 and x

Last items: 4 and -4

Example Question #115 : How To Use Foil In The Distributive Property

Multiply. Select the answer that is equivalent to this expression.

Possible Answers:

Correct answer:

Explanation:

Remember, FOIL which stands for the multiplication of the first terms, outer terms, inner terms, and last terms.

First items: 2x and 3x

Outside items: 2x and -2

Inside items: 1 and 3x

Last items: 1 and -2

Example Question #116 : How To Use Foil In The Distributive Property

Multiply. Select the answer that is equivalent to this expression.

Possible Answers:

Correct answer:

Explanation:

Recall FOIL, which stands for the multiplication of the first terms, outer terms, inner terms, and last terms.

Firsts: 4x * 4x

Outer: 4x*-5

Inner: 5*4x

Lasts:5*-5

When the binomials are conjugate pairs (in the form (a + b)(a - b)), the middle term will always drop out since the inside and outside products will sum to zero.

Example Question #121 : How To Use Foil In The Distributive Property

Multiply. Select the answer that is equivalent to this expression.

Possible Answers:

Correct answer:

Explanation:

Simply write it as a pair and FOIL which stands for the multiplication of the first terms, outer terms, inner terms, and last terms.

Example Question #121 : Distributive Property

Multiply. Select the answer that is equivalent to this expression.

Possible Answers:

Correct answer:

Explanation:

Simply write it as a pair and FOIL which stands for the multiplication of the first terms, outer terms, inner terms, and last terms.

Example Question #123 : Distributive Property

Multiply.  Select the answer that is equivalent to this expression.

Possible Answers:

Correct answer:

Explanation:

For this question use FOIL which stands for the multiplication of the first terms, outer terms, inner terms, and last terms.

Example Question #122 : How To Use Foil In The Distributive Property

Multiply.  Select the answer that is equivalent to this expression.

Possible Answers:

Correct answer:

Explanation:

Don't be intimidated, just FOIL which stands for the multiplication of the first terms, outer terms, inner terms, and last terms.  The answer is rearranged in the order of the powers of x.

Example Question #121 : Distributive Property

Expand the following expression:

Possible Answers:

Correct answer:

Explanation:

Expand the following expression:

To begin, we need to realize that we cannot simply square both inside terms and call it a day. First, let's rewrite what we are given

Next, we can use FOIL, which stands for 

First

Outer

Inner 

Last

I've color coded each set, now we just need to simplify and combine like terms to get:

Example Question #41 : Quadratic Equations

Use the distributive property (use FOIL method) to solve the following

Possible Answers:

Correct answer:

Explanation:

Remember that FOIL stands for First, Outer, Inner, Last. We will add up the different parts. If we had an expression

than we would have

First: 

Outer: 

Inner: 

Last: 

Foil

For this problem we have

First: 

Outer: 

Inner: 

Last: 

Adding these together gives

check: let's add the first two numbers and multiply that by the sum of the last two,

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