How to add exponential variables

Practice Questions

ISEE Upper Level (grades 9-12) Quantitative Reasoning › How to add exponential variables

Questions

5

1

Which is the greater quantity?

(a) $x^{2} + 3x$

(b)

2

Which is the greater quantity?

(a) $(x + y)^{2}$

(b) $x^{2}+ y^{2}$

3

Assume that and are not both zero. Which is the greater quantity?

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

(b)

4

Assume all variables to be nonzero.

Simplify: $\left (12x^{5}y ^{4}z^{3} \right )^{0} + \left (3x^{5}y ^{4}z^{3} \right )^{0}$

5

Simplify:

$5x^{2} y ^{2}+7 + 6x^{2}y^{2} + 11 xy$

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