GRE Math : Algebra

Study concepts, example questions & explanations for GRE Math

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Example Questions

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Example Question #1 : How To Solve For A Variable As Part Of A Fraction

If  , and , what is the value of ?

Possible Answers:

Correct answer:

Explanation:

Start by cross multiplying which gives us .

Simplify by dividing both sides by  which gives us .

Isolate  by dividing both sides by  and then adding  to both sides, which gives us .

Example Question #1 : How To Solve For A Variable As Part Of A Fraction

If , and  what is the value of ?

Possible Answers:

Correct answer:

Explanation:

Start by cross multiplying which gives us 

.

Divide both sides by 12 and simplify which gives us .

Since , we only take the positive square root as the solution, .

Example Question #1152 : Algebra

If  , then what is the value of ?

Possible Answers:

7/12

9/114

38/3

3/38

none of these

Correct answer:

38/3

Explanation:

cross multiply:

(6)(19) = 9x

114=9x

x = 38/3

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