GMAT Math : Solving equations

Study concepts, example questions & explanations for GMAT Math

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Example Questions

Example Question #1431 : Problem Solving Questions

 

 

Solve for :

Possible Answers:

Correct answer:

Explanation:

We need to isolate . Move all other terms to the right hand side of the equation:

Combine like terms:

Example Question #42 : Equations

Solve for the value of :

Possible Answers:

Correct answer:

Explanation:

To solve this absolute value equation, we need to set the right side of the equation equal to a positive and negative version in order to calculate the two options for absolute value.

   OR      

       OR      

                        OR      

                          OR     

Example Question #41 : Equations

You are given the equations above. What is ?

Possible Answers:

Correct answer:

Explanation:

We first solve each of the equations to find  and :

 

Therefore, .

Example Question #41 : Solving Equations

You are given the following equation:

What is the value of  ?

Possible Answers:

Correct answer:

Explanation:

First, we need to solve the provided equation for .

We want to find the value of . We can put the equation in this form by subtracting  from each side:

Example Question #45 : Equations

Solve .

Possible Answers:

 or 

  or 

 

Correct answer:

  or 

Explanation:

Since we are solving an absolute value equation, , we must solve for both potential values of the equation:

1.) 

2.) 

Solving Equation 1:

Solving Equation 2:

Therefore, for  or 

Example Question #42 : Equations

Solve for

Possible Answers:

Not enough information provided 

Correct answer:

Explanation:

In order to solve  for , we need to isolate  on one side of the equation:

 

Example Question #47 : Equations

Which of the following is a solution to the equation ?

Possible Answers:

Two of the other answers are correct.

Correct answer:

Explanation:

In order to find values of  and  for which , we need to plug the values into the equation:

1.)  Correct

2.) Incorrect

3.)  Incorrect

4.)  Incorrect

Therefore, the only correct answer is 

Example Question #361 : Algebra

Solve for 

Possible Answers:

Not enough information provided

Correct answer:

Explanation:

In order to solve the equation for , we need to isolate  on one side of the equation:

Reducing the fraction,

Example Question #362 : Algebra

Solve for  in the equation 

Possible Answers:

Correct answer:

Explanation:

Example Question #50 : Equations

Solve for  in the equation:

Possible Answers:

Correct answer:

Explanation:

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