# ISEE Upper Level Math : How to add exponential variables

## Example Questions

### Example Question #61 : Variables

Rewrite the polynomial in standard form:

Possible Answers:

Correct answer:

Explanation:

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 #1 : How To Add Exponential Variables

Simplify:

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Correct answer:

Explanation:

### Example Question #2 : How To Add Exponential Variables

Assume that . Simplify:

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Correct answer:

Explanation:

### Example Question #4 : How To Add Exponential Variables

If , simplify:

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Correct answer:

Explanation:

### Example Question #5 : How To Add Exponential Variables

If , simplify:

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Correct answer:

Explanation:

### Example Question #6 : How To Add Exponential Variables

Define

What is  ?

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Correct answer:

Explanation:

Substitute  for  in the definition:

### Example Question #1 : Variables And Exponents

Add:

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Correct answer:

Explanation:

### Example Question #1 : How To Add Exponential Variables

Simplify:

Possible Answers:

Correct answer:

Explanation:

We can expand the first term using FOIL:

Reorder the expression to group like-terms together.

Simplify by combining like-terms.

### Example Question #9 : How To Add Exponential Variables

Simplify:

Possible Answers:

Correct answer:

Explanation:

Expand each term by using FOIL:

Rearrange to group like-terms together.

Simplify by combining like-terms.

### Example Question #10 : How To Add Exponential Variables

Simplify:

Possible Answers:

The expression can not be simplified further

Correct answer:

Explanation:

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

Combine like-terms to simplify.