### All PSAT Math Resources

## Example Questions

### Example Question #1 : Squaring / Square Roots / Radicals

Simplify the radical.

**Possible Answers:**

**Correct answer:**

Explanation:

We can break the square root down into 2 roots of 67 and 49. 49 is a perfect square and reduces to 7.

### Example Question #1 : Squaring / Square Roots / Radicals

Expand:

**Possible Answers:**

**Correct answer:**

Explanation:

Use the perfect square trinomial pattern, setting :

### Example Question #1 : Squaring / Square Roots / Radicals

If is expanded, what is the coefficient of ?

**Possible Answers:**

There is no term in the expansion of .

**Correct answer:**

Explanation:

The coefficient of is therefore 11.

### Example Question #61 : Exponents

If is expanded, what is the coefficient of ?

**Possible Answers:**

There is no term in the expansion of .

**Correct answer:**

Explanation:

The coefficient of is therefore 10.

### Example Question #4 : Squaring / Square Roots / Radicals

Expand:

**Possible Answers:**

**Correct answer:**

Explanation:

Use the perfect square trinomial pattern, setting :

Leonard

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University of Benin City Nigeria, Bachelor of Engineering, Mechanical Engineering. Texas AM University Kingsville, Current Gr...