GED Math : Solving for the Variable

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #101 : Single Variable Algebra

Give the solution set:

Possible Answers:

Correct answer:

Explanation:

Collect the like terms by subtracting  from both sides:

Isolate  on the right by dividing both sides by . Reverse the direction of the inequality symbol, since you are dividing by a negative number:

The solution set is .

Example Question #102 : Single Variable Algebra

Solve for :  

Possible Answers:

Correct answer:

Explanation:

Add  on both sides.

Add three on both sides.

Divide by 9 on both sides.

The answer is:  

Example Question #103 : Single Variable Algebra

Solve for :  

Possible Answers:

Correct answer:

Explanation:

Add  on both sides.

Subtract 1 from both sides.

Divide by 17 on both sides.

The answer is:  

Example Question #104 : Single Variable Algebra

Solve the for :  

Possible Answers:

Correct answer:

Explanation:

Subtract 5 from both sides.

Divide by negative three on both sides.

The answer is:  

Example Question #105 : Single Variable Algebra

Which of the following makes this equation true:

Possible Answers:

Correct answer:

Explanation:

To answer the question, we will solve for x. We get

Example Question #52 : Solving For The Variable

Solve for x:  

Possible Answers:

Correct answer:

Explanation:

Distribute the two with both of the terms inside the binomial.

Add 6 on both sides.

Divide by 2 on both sides.

The answer is:  

Example Question #106 : Single Variable Algebra

Solve for .

Possible Answers:

Correct answer:

Explanation:

Start by subtracting  from both sides.

Square both sides of the equation to get rid of the square root.

Add  to both sides of the equation.

Divide both sides by .

 

Example Question #107 : Single Variable Algebra

Which of the following makes this equation true:

Possible Answers:

Correct answer:

Explanation:

To answer the question, we will solve for h. We get

Example Question #109 : Algebra

Solve:  

Possible Answers:

Correct answer:

Explanation:

To isolate the x-variable, we will need to multiply by one-third on both sides.

The answer is:  

Example Question #108 : Single Variable Algebra

Which of the following makes this equation true:

Possible Answers:

Correct answer:

Explanation:

To answer the question, we will solve for x. So, we get

 

 

 

 

 

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