### All PSAT Math Resources

## Example Questions

### Example Question #1 : Exponents And Rational Numbers

Which of the following lists the above quantities from least to greatest?

**Possible Answers:**

I, IV, III, II

IV, III, II, I

I, III, II, IV

I, IV, II, III

II, III, I, IV

**Correct answer:**

I, III, II, IV

Explanation:

### Example Question #1 : Exponents And Rational Numbers

Solve for .

**Possible Answers:**

**Correct answer:**

Explanation:

Since

Hence

### Example Question #91 : Exponents

Simplify:

**Possible Answers:**

**Correct answer:**

Explanation:

### Example Question #6 : Exponential Ratios And Rational Numbers

Solve for :

**Possible Answers:**

**Correct answer:**

Explanation:

From the equation one can see that

Hence must be equal to 25.

### Example Question #1 : How To Find An Exponent From A Rational Number

Evaluate:

**Possible Answers:**

**Correct answer:**

Explanation:

### Example Question #91 : Exponents

Solve for .

**Possible Answers:**

**Correct answer:**

Explanation:

### Example Question #1 : Exponents And Rational Numbers

and

Find

**Possible Answers:**

**Correct answer:**

Explanation:

Hence the correct answer is .

### Example Question #631 : Algebra

Solve for .

**Possible Answers:**

**Correct answer:**

Explanation:

Use the rules of logarithms to combine terms.

Hence,

By fatoring we get

Hence .

However, you cannot take the logarithm of a negative number. Thus, the only value for is .

### Example Question #1 : Exponents And Rational Numbers

If a piece of pie is cut into 3 sections, and each of those pieces is further cut into three sections, then those pieces are cut into three sections, how many (tiny) pieces of pie are there?

**Possible Answers:**

27

40

12

36

125

**Correct answer:**

27

Explanation:

The answer is 3^{3} = 27

### Example Question #1 : Exponents And Rational Numbers

Solve for .

**Possible Answers:**

**Correct answer:**

Explanation:

Bridget

Certified Tutor

Certified Tutor

Texas Christian University, Bachelor of Education, Teacher Education, Multiple Levels.

Justin

Certified Tutor

Certified Tutor

Boston College, Bachelor in Arts, Philosophy. Montclair State University, Master of Arts Teaching, Education.