ISEE Upper Level Quantitative : How to add exponents

Study concepts, example questions & explanations for ISEE Upper Level Quantitative

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Example Questions

Example Question #1 :How To Add Exponents

Two quantities are given - one in Column A and the other in Column B. Compare the quantities in the two columns.

Assume, in both columns, that.

Column AColumn B

Possible Answers:

The quantities in both columns are equal.

The quantity in Column B is greater.

The quantity in Column A is greater.

The relationship cannot be determined from the info given.

Correct answer:

The quantity in Column B is greater.

Explanation:

当你加减与经验onents, you combine like terms. Since both columns have expressions with the same exponent throughout, you are good to just look at the coefficients. Remember, a coefficient is the number in front of a variable. Therefore, Column A issince. Column B issince. We can see that Column B is greater.

Example Question #1 :How To Add Exponents

Add all of the perfect squares between 50 and 100 inclusive.

Possible Answers:

The correct answer is not among the other choices.

Correct answer:

Explanation:

The perfect squares between 50 and 100 inclusive are

Their sum is

Example Question #21 :Exponents

Which is the greater quantity?

(A) The sum of the first ten perfect square integers

(B) The sum of the first five perfect cube integers

Possible Answers:

(A) and (B) are equal

(B) is greater

(A) is greater

It is impossible to determine which is greater from the information given

Correct answer:

(A) is greater

Explanation:

The sum of the first ten perfect square integers:

The sum of the first five perfect cube integers:

(A) is greater.

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