How to multiply exponential variables

Practice Questions

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

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1

Factor completely:

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

2

Fill in the box to form a perfect square trinomial:

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

3

Simplify:

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

4

Simplify:

$\left (4x \right )^{4} +\left ( 2y \right )^{2}$

5

Expand: $(x-5)^{3}$

6

and are positive integers greater than 1.

Which is the greater quantity?

(A) $(x+y -1)^{2}$

(B) $(x-y+1)^{2}$

7

Which is the greater quantity?

(a) $y ^{2} + 4y + 4$

(b) $y^{2} + 6y + 9$

8

Fill in the box to form a perfect square trinomial:

$x^{2} - 18x + \square$

9

and are positive integers greater than 1.

Which is the greater quantity?

(A) $\left (x + y + 1\right ) ^{2}$

(B)

10

is a positive number; is the additive inverse of .

Which is the greater quantity?

(a) $a ^{2} - b^{2}$

(b)

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