GRE Math : Rational Expressions

Study concepts, example questions & explanations for GRE Math

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Example Questions

Example Question #1 : How To Subtract Rational Expressions With Different Denominators

Choose the answer which best simplifies the following expression:

Possible Answers:

Correct answer:

Explanation:

To simplify this problem, multiply each term by the denominator of the other over itself:

Now that both terms share a denominator, you can subtract:

Example Question #1 : How To Subtract Rational Expressions With Different Denominators

Choose the answer which best simplifies the following expression:

Possible Answers:

Correct answer:

Explanation:

To solve this problem, first multiply each term of the original expression by the denomenator of the other over itself:

Then you will have two terms with a common denomenator:

Combine the terms and simplify for your final answer:

Example Question #11 : Rational Expressions

Choose the answer which best simplifies the expression below:

Possible Answers:

Correct answer:

Explanation:

To simplify this problem, multiply each term by the denomenator of the other over itself:

Then you will yield terms with a like denomenator, which can be combined:

Example Question #291 : Algebra

Choose the answer which best simplifies the expression below:

Possible Answers:

Correct answer:

Explanation:

To simplify the expression, first multiply each term by the denomenator of the other over itself:

Then you yield terms with common denomenators, which can be combined:

 

Example Question #1 : How To Subtract Rational Expressions With Different Denominators

Choose the answer which best simplifies the following expression:

Possible Answers:

Correct answer:

Explanation:

To simplify, first multiply each of the terms by the denomenator of the other over itself:

Then you will get terms with a common denomenator, which can be combined:

Example Question #11 : Rational Expressions

Choose the answer which best simplifies the expression below:

Possible Answers:

Correct answer:

Explanation:

To simplify, first multiply each of the terms by the denomenator of the other over itself:

You will yield terms with a common denomenator, which can be combined:

Example Question #2 : How To Subtract Rational Expressions With Different Denominators

Choose the answer which best simplifies the expression below:

Possible Answers:

Correct answer:

Explanation:

To simplify, multiply each of the terms by the denomenator of the other, over itself:

You will yield terms with a common denomenator, which can be combined:

Example Question #1 : Rational Expressions

If √(ab) = 8, and a= b, what is a?

Possible Answers:

10

4

2

16

64

Correct answer:

4

Explanation:

If we plug in a2 for b in the radical expression, we get √(a3) = 8. This can be rewritten as a3/2 = 8. Thus, loga 8 = 3/2. Plugging in the answer choices gives 4 as the correct answer. 

Example Question #1 : How To Evaluate Rational Expressions

Function_part1

 

Possible Answers:

–37/15

–9/5

37/15

–11/5

9/5

Correct answer:

–11/5

Explanation:

Fraction_part2

Fraction_part3

Example Question #11 : Expressions

Find the product of  and .

Possible Answers:

Correct answer:

Explanation:

Solve the first equation for .


Solve the second equation for

The final step is to multiply  and .

      

 

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