### All GRE Math Resources

## Example Questions

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

Find *x.*

**Possible Answers:**

None

**Correct answer:**

Cross multiply:

### Example Question #3 : How To Solve For A Variable As Part Of A Fraction

The numerator of a fraction is the sum of 4 and 5 times the denominator. If you divide the fraction by 2, the numerator is 3 times the denominator. Find the simplified version of the fraction.

**Possible Answers:**

**Correct answer:**

Let numerator = N and denominator = D.

According to the first statement,

N = (D x 5) + 4.

According to the second statement, N / 2 = 3 * D.

Let's multiply the second equation by –2 and add itthe first equation:

–N = –6D

+[N = (D x 5) + 4]

=

–6D + (D x 5) + 4 = 0

–1D + 4 = 0

D = 4

Thus, N = 24.

Therefore, N/D = 24/4 = 6.

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

If , what is the value of ?

**Possible Answers:**

**Correct answer:**

Start by cross multiplying to get the equation

.

Then simplify by subtracting from each side to get the solution,

.

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

If , then what is equal to?

**Possible Answers:**

**Correct answer:**

We start by solving for x in by multiplying 4 and 15, which gives us .

Then substituting 60 for x in,

gives us

which equals 0.

### Example Question #481 : Algebra

If , and , what is the value of ?

**Possible Answers:**

**Correct answer:**

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 #1581 : Gre Quantitative Reasoning

If , and what is the value of ?

**Possible Answers:**

**Correct answer:**

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 #2 : How To Solve For A Variable As Part Of A Fraction

If , then what is the value of ?

**Possible Answers:**

none of these

9/114

7/12

38/3

3/38

**Correct answer:**

38/3

cross multiply:

(6)(19) = 9x

114=9x

x = 38/3