### All SAT Math Resources

## Example Questions

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

If √(*ab*) = 8, and *a*^{2 }= *b*, what is *a*?

**Possible Answers:**

4

10

2

64

16

**Correct answer:**

4

Explanation:

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 : Rational Expressions

**Possible Answers:**

9/5

–37/15

–11/5

37/15

–9/5

**Correct answer:**

–11/5

Explanation:

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

If Jill walks in , how long will it take Jill to walk ?

**Possible Answers:**

**Correct answer:**

Explanation:

To solve this, we need to set a proportion.

Cross Multiply

So it will take Jill to walk

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

If , then which of the following must be also true?

**Possible Answers:**

**Correct answer:**

Explanation:

Nicholas

Certified Tutor

Certified Tutor

Seton Hall University, Current Undergrad, Modern Languages. Seton Hall University, Current Grad Student, Diplomacy & Internat...