### All GRE Math Resources

## 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:**

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:**

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:**

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:**

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:**

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:**

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:**

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*^{2 }= *b*, what is *a*?

**Possible Answers:**

10

4

2

16

64

**Correct answer:**

4

If we plug in *a*^{2} for *b* in the radical expression, we get √(*a*^{3}) = 8. This can be rewritten as *a*^{3/2} = 8. Thus, log* _{a }*8 = 3/2. Plugging in the answer choices gives 4 as the correct answer.

### Example Question #1 : How To Evaluate Rational Expressions

**Possible Answers:**

–37/15

–9/5

37/15

–11/5

9/5

**Correct answer:**

–11/5

### Example Question #11 : Expressions

Find the product of and .

**Possible Answers:**

**Correct answer:**

Solve the first equation for .

Solve the second equation for .

The final step is to multiply and .

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