Variables and Exponents

Practice Questions

ISEE Upper Level (grades 9-12) Quantitative Reasoning › Variables and Exponents

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1

Fill in the box to form a perfect square trinomial:

$x ^{2} - 13x + \square$

2

Simplify:

$\left (x + \frac{1}{3} \right )^{3}$

3

Fill in the box to form a perfect square trinomial:

$x ^{2} - 13x + \square$

4

Simplify:

$\frac{10 x ^{-6} y ^{-4}}{20x ^{-8}y^{-2}}$

5

Factor completely:

$3x^{2} - x -14$

6

Simplify:

$\left (x + \frac{1}{3} \right )^{3}$

7

Simplify:

$\frac{10 x ^{-6} y ^{-4}}{20x ^{-8}y^{-2}}$

8

Factor completely:

$3x^{2} - x -14$

9

Half of one hundred divided by five and multiplied by one-tenth is __________.

10

Half of one hundred divided by five and multiplied by one-tenth is __________.

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