### All SAT Math Resources

## Example Questions

### Example Question #1156 : Algebra

Solve:

**Possible Answers:**

**Correct answer:**

We want to isolate the x. First, we take away 3 from both sides. Then we have:

To get x by itself, we multiply by the reciprocal on both sides.

Then, we have:

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

If , then what is the value of ?

**Possible Answers:**

7/12

none of these

9/114

3/38

38/3

**Correct answer:**

38/3

cross multiply:

(6)(19) = 9x

114=9x

x = 38/3

### 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 #2 : 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 #71 : Algebraic Fractions

Solve for x:

**Possible Answers:**

**Correct answer:**

In order to solve for x, you must cross multiply the ratio first. They will be equal to each other.

, you then can add 3x to both sides and 402 to both sides as well. You are left with:

divide both sides by 9 to get the final answer:

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