### All ISEE Upper Level Math Resources

## Example Questions

### Example Question #1 : Variables And Exponents

Rewrite the polynomial in standard form:

**Possible Answers:**

**Correct answer:**

The degree of a term of a polynomial with one variable is the exponent of that variable. The terms of a polynomial in standard form are written in descending order of degree. Therefore, we rearrange the terms by their exponent, from 5 down to 0, noting that we can rewrite the and constant terms with exponents 1 and 0, respectively:

### Example Question #2 : Variables And Exponents

Simplify:

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**Correct answer:**

### Example Question #3 : Variables And Exponents

Assume that . Simplify:

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**Correct answer:**

### Example Question #4 : Variables And Exponents

If , simplify:

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**Correct answer:**

### Example Question #5 : Variables And Exponents

If , simplify:

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**Correct answer:**

### Example Question #6 : Variables And Exponents

Define

What is ?

**Possible Answers:**

**Correct answer:**

Substitute for in the definition:

### Example Question #7 : Variables And Exponents

Add:

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**Correct answer:**

### Example Question #8 : Variables And Exponents

Simplify:

**Possible Answers:**

**Correct answer:**

We can expand the first term using FOIL:

Reorder the expression to group like-terms together.

Simplify by combining like-terms.

### Example Question #9 : Variables And Exponents

Simplify:

**Possible Answers:**

**Correct answer:**

Expand each term by using FOIL:

Rearrange to group like-terms together.

Simplify by combining like-terms.

### Example Question #10 : Variables And Exponents

Simplify:

**Possible Answers:**

The expression can not be simplified further

**Correct answer:**

Start by reordering the expression to group like-terms together.

Combine like-terms to simplify.

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