How to subtract

Practice Questions

SSAT Upper Level Quantitative (Math) › How to subtract

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1

Define a function as follows:

$g(x)=\left | x^{5}-x^{2}\right |$

Evaluate .

2

Define a function as follows:

$g(x)=\left | x^{2} - \frac{1}{x^{2}}\right |$

Evaluate $g(2) - g \left ( \frac{1}{2} \right )$ .

3

and are prime integers. and . What is the greatest possible value of ?

4

Define an operation $\Upsilon$ as follows:

For all real numbers ,

$a \Upsilon b = a^{5} - b^{4}$ .

Evaluate: $\frac{1}{2}; \Upsilon; \frac{1}{2}$ .

5

$\dpi{100} 4.8-\frac{9}{2}$

6

and are prime integers. and .

How many possible values of are there?

7

$\dpi{100} 4593-1296=$

8

Define an operation $\forall$ as follows:

For all real numbers :

$a \forall b = a^{4} + \frac{1}{b^{4}}$ .

Evaluate $\frac{1}{2} \forall (-2 )$ .

9

Define an operation $\bigtriangleup$ on the real numbers as follows:

For all real numbers :

$a \bigtriangleup b = \sqrt[3]{a} - \sqrt[4]{b}$ .

Evaluate $(-1) \bigtriangleup (-1)$ .

10

Define a function as follows:

$f(x) = 10 - \sqrt[3]{x} - \sqrt[5]{x}$

Evaluate .

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