Variables and Exponents

Practice Questions

ISEE Upper Level Mathematics Achievement › Variables and Exponents

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1

Simplify if $xy eq \pm 2$ .

$\frac{x^4y^4-4x^2y^2}{(xy+2)(xy-2)}$

2

Simplify if $xy eq \pm 2$ .

$\frac{x^4y^4-4x^2y^2}{(xy+2)(xy-2)}$

3

Multiply:

$\left ( x -3y + 1\right ) \left ( x - 3y - 1\right )$

4

Multiply:

$\left ( x -3y + 1\right ) \left ( x - 3y - 1\right )$

5

Simplify the following:

$\frac{y^{2}}{y^{5}}$

6

Simplify the following:

$\frac{y^{2}}{y^{5}}$

7

Simplify:

$\frac{(x^{2}+y^{2})^{2} - (x^{2} - y^{2})^{2}}{x^{4}y^{4}}$

8

Rewrite the polynomial in standard form:

$9x^{4} - 3x ^{2} + 8x^{5} -2x + 7 - 4x^{3}$

9

Rewrite the polynomial in standard form:

$9x^{4} - 3x ^{2} + 8x^{5} -2x + 7 - 4x^{3}$

10

Simplify:

$\frac{(x^{2}+y^{2})^{2} - (x^{2} - y^{2})^{2}}{x^{4}y^{4}}$

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