Variables

Practice Questions

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

Page 1 of 32

10 of 312

1

Define . The graph of is a line with slope $\frac{1}{2}$ .

$(g \circ f) (2) = 6$ .

Which is the greater quantity?

(a)

(b)

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

Fill in the box to form a perfect square trinomial:

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

5

Factor completely:

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

6

Simplify:

$\left (\frac{4}{3}x - \frac{5}{3} \right )^{2}$

7

Simplify:

$\left (\frac{4}{3}x - \frac{5}{3} \right )^{2}$

8

N is a positive integer; . Which is greater?

(a) $N^{2} - 4N + 4$

(b)

9

Fill in the box to form a perfect square trinomial:

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

10

Simplify:

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

Page 1 of 32

Return to subject