Algebra 1 : How to find the solution to a binomial problem

Study concepts, example questions & explanations for Algebra 1

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Example Questions

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Example Question #1 : How To Find The Solution To A Binomial Problem

Solve for

Possible Answers:

Correct answer:

Explanation:

First, rearrange the equation so that "like terms" are grouped together, like this: .  

Second, combine "like" terms with the appropriate mathematical function (i.e., addition, subtraction, etc.), so in this problem, you'll be left with .  

Third, set the entire equation equal to  and solve for 

Example Question #2 : How To Find The Solution To A Binomial Problem

Solve for .

Possible Answers:

Correct answer:

Explanation:

First, rearrange the equation so that "like terms" are grouped together, like this: .  

Second, combine "like" terms with the appropriate mathematical function (i.e., addition, subtraction, etc.), so in this problem, you'll be left with 

.  

Third, solve for 

Example Question #3 : How To Find The Solution To A Binomial Problem

Solve for :

Possible Answers:

Correct answer:

Explanation:

Example Question #4 : How To Find The Solution To A Binomial Problem

Solve for  in terms of .

Possible Answers:

Correct answer:

Explanation:

First, add 8y to both sides of the equation, cancelling out -8y and isolating x to a value in terms of y:

4x - 8y = 32

     +8y     +8y

4x = 32 + 8y

Then divide both sides of the equation by 4, providing the x-value in terms of y:

x = 8 + 2y

Example Question #5 : How To Find The Solution To A Binomial Problem

Solve  in terms of :

Possible Answers:

Correct answer:

Explanation:

First, isolate X by itself:

              

Next, divide both sides by 2/3 to get X by itself:

Your answer should come out as:

Example Question #6 : How To Find The Solution To A Binomial Problem

Solve for  in terms of :

Possible Answers:

Correct answer:

Explanation:

First, isolate X onto one side of the equation:

                 

Next, divide both sides of the equation by 4/3:

When simplified, your answer should be:

 

 

Example Question #7 : How To Find The Solution To A Binomial Problem

Solve for 

Possible Answers:

Correct answer:

Explanation:

Example Question #8 : How To Find The Solution To A Binomial Problem

Solve for 

Possible Answers:

Correct answer:

Explanation:

Example Question #9 : How To Find The Solution To A Binomial Problem

Solve for 

Possible Answers:

None of the other answers.

Correct answer:

Explanation:

Example Question #10 : How To Find The Solution To A Binomial Problem

Solve for 

Possible Answers:

Correct answer:

Explanation:

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