Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #161 : How To Use Foil In The Distributive Property

Factor the following expression.

Possible Answers:

Correct answer:

Explanation:

For an expression in the form , in its simplest form where , find two integers whose sum is  and whose product is .

 

In the case of

3 and 4 fit the requirements. Therefore, our answer looks like:

Example Question #162 : How To Use Foil In The Distributive Property

Factor the following expression.

Possible Answers:

Correct answer:

Explanation:

For an expression in the form , in its simplest form where , find two integers whose sum is  and whose product is .

In the case of

 and  fit the requirements. Therefore, our answer looks like:

Example Question #4981 : Algebra 1

Possible Answers:

Correct answer:

Explanation:

           

      

     

 

 

Example Question #1 : How To Use The Grid Method For Foil

Multiply:

Possible Answers:

Correct answer:

Explanation:

To multiply two binomials, both terms in the first binomial need to be multiplied with both terms in the second binomial. A good way to make sure that all of the pairs are multiplied is to set up the box/grid:

Box2b

In each empty box, multiply the intersecting terms:

Box2a

Now, combine like terms. 3x and 8x are both terms with x, so we can add them to be 11x.

Final answer [in descending order of powers of x:

Example Question #2 : How To Use The Grid Method For Foil

Multiply:

Possible Answers:

Correct answer:

Explanation:

To multiply two binomials, both terms in the first binomial need to be multiplied with both terms in the second binomial. A good way to make sure that all of the pairs are multiplied is to set up the box/grid:

Box1a

In each empty box, multiply the intersecting terms: 

 

Box1b

Now, combine like terms. -6x and 4x are both terms with x, so we can add them to be -2x.

Final answer:

Example Question #4 : How To Use The Grid Method For Foil

Use the grid method to distribute and simply .

Possible Answers:

Correct answer:

Explanation:

Alg 1 prob 1a

Top left corner:

 

Top right corner:

Bottom left corner:

Bottom right corner:

Add along the diagonal:

Combining our terms:

Example Question #4 : How To Use The Grid Method For Foil

Expand  using the grid method.

Possible Answers:

Correct answer:

Explanation:

Alg 1 prob 2

 

Top left corner:

 

Top right corner:

Bottom left corner:

Bottom right corner:

Add along the pink diagonal:

Combining our terms:

Example Question #3 : How To Use The Grid Method For Foil

Expand  using the grid method.

Possible Answers:

Correct answer:

Explanation:

Alg 1 prob 3

 

Top left corner:

 

Top right corner:

Middle left:

Middle right:

Bottom left corner:

Bottom right corner:

Add along the first (pink) diagonal:

Add along the second (blue) diagonal:

Combining our terms:

Example Question #4 : How To Use The Grid Method For Foil

Expand  using the grid method.

Possible Answers:

Correct answer:

Explanation:

Alg 1 prob 4

 

Top left corner:

 

Top right corner:

Bottom left corner:

Bottom right corner:

Add along the (pink) diagonal:

Combining our terms:

Example Question #4 : How To Use The Grid Method For Foil

Expand  using the grid method.

Possible Answers:

Correct answer:

Explanation:

Alg 1 prob 5

 

Top left corner:

 

Top right corner:

Bottom left corner:

Bottom right corner:

Add along the (pink) diagonal:

Combining our terms:

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