### All ISEE Upper Level Math Resources

## Example Questions

### Example Question #9 : How To Divide Variables

Divide:

**Possible Answers:**

The expression cannot be simplified further.

**Correct answer:**

To divide this problem we simplify it first. In this problem we can separate the big fraction into three smaller fractions.

Then from here, we can pull out a from both the numerator and denominator of each smaller fraction.

Now we cancel terms and get the following result:

### Example Question #10 : How To Divide Variables

Simplify:

**Possible Answers:**

**Correct answer:**

To simplify this problem we first separate the large fraction into three smaller fractions.

From here we can factor out from the numerator and denominator of the first two fractions.

The can be canceled out in the first two fractions. From here we can factor out a from the numerator and denominator of the third fraction.

Thus becoming:

### Example Question #221 : Algebraic Concepts

Divide:

**Possible Answers:**

**Correct answer:**

To divide this problem we start by simplify it. In this problem we can break the large fraction into three smaller fractions.

From here we can factor out a from the numerator and denominator of each fraction.

Now we can cancel the terms and are left with the following result:

### Example Question #31 : Operations

Simplify the following expression:

**Possible Answers:**

**Correct answer:**

Simplify the following expression:

Let's begin by simplifying the coefficients

Next, complete the question by subtracting the exponents:

So, our answer is:

### Example Question #32 : Operations

Simplify the following expression:

**Possible Answers:**

**Correct answer:**

Simplify the following expression:

Let's begin by simplifying the coefficients:

We have a 49 on top and a 7 on bottom. We can treat this just like a regular fraction:

Next, to deal with our variables, all we need to do is subtract the bottom exponent **from **the top exponent. If we get a negative number, we just put that number on the bottom.

So our answer will look like this:

### Example Question #224 : Algebraic Concepts

Simplify:

**Possible Answers:**

**Correct answer:**

### Example Question #33 : Operations

Simplify the expression:

**Possible Answers:**

**Correct answer:**

Group and collect like terms:

### Example Question #226 : Algebraic Concepts

Simplify:

**Possible Answers:**

The expression cannnot be simplified further.

**Correct answer:**

Group and collect like terms:

### Example Question #34 : Operations

What is ?

**Possible Answers:**

Insufficient information is given to answer this question.

**Correct answer:**

### Example Question #31 : Operations

Simplify:

**Possible Answers:**

**Correct answer:**

To simplify this problem we need to combine like terms.