### All SSAT Upper Level Math Resources

## Example Questions

### Example Question #21 : How To Graph Complex Numbers

Multiply the complex conjugate of 8 by . What is the result?

**Possible Answers:**

None of the other responses gives the correct product.

**Correct answer:**

The complex conjugate of a complex number is . Since , its complex conjugate is itself. Multiply this by :

### Example Question #22 : How To Graph Complex Numbers

Multiply the complex conjugate of by . What is the result?

**Possible Answers:**

None of the other responses gives the correct product.

**Correct answer:**

The complex conjugate of a complex number is . Since , its complex conjugate is .

Multiply this by :

Recall that by definition .

### Example Question #411 : Geometry

Multiply the following complex numbers:

**Possible Answers:**

**Correct answer:**

FOIL the product out:

To FOIL multiply the first terms from each binomial together, multiply the outer terms of both terms together, multiply the inner terms from both binomials together, and finally multiply the last terms from each binomial together.

Recall that i is an imaginary number and by definition . Substituting this into the function is as follows.