### All ISEE Upper Level Quantitative Resources

## Example Questions

### Example Question #21 : Variables And Exponents

Simplify the expression:

**Possible Answers:**

The expression cannot be simplified further.

**Correct answer:**

Explanation:

Group, then collect like terms.

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

Assume neither nor is zero.

Which is the greater quantity?

(a)

(b)

**Possible Answers:**

It is impossible to tell from the information given.

(a) and (b) are equal.

(a) is greater.

(b) is greater.

**Correct answer:**

(a) and (b) are equal.

Explanation:

Simplify the expression in (a):

regardless of the values of the variables, and (a) and (b) are equal.

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

is a positive number. is a negative number.

Which is the greater quantity?

(a)

(b)

**Possible Answers:**

(a) and (b) are equal.

It is impossible to tell from the information given.

(a) is greater.

(b) is greater.

**Correct answer:**

(b) is greater.

Explanation:

is a positive number and is a negative number, so and . Therefore,

.

(b) is always greater.

### All ISEE Upper Level Quantitative Resources

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