Absolute Value

Practice Questions

ACT Math › Absolute Value

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1

Which of the following sentences is represented by the equation

2

Which of the following sentences is represented by the equation

3

Evaluate for :

$\left | 4x - 1.4 \right | + \left | x^{2} - 1 \right |$

4

Evaluate for :

$\left | 4x - 1.4 \right | + \left | x^{2} - 1 \right |$

5

Define an operation $\blacktriangledown$ as follows:

For all real numbers ,

$a \blacktriangledown b= \frac{a+1}{\left | a\right |+ \left | b\right |}$

Evaluate: $\frac{4}{5} \blacktriangledown \left (-\frac{4}{5} \right )$ .

6

Define an operation $\blacktriangledown$ as follows:

For all real numbers ,

$a \blacktriangledown b= \frac{a+1}{\left | a\right |+ \left | b\right |}$

Evaluate: $\frac{4}{5} \blacktriangledown \left (-\frac{4}{5} \right )$ .

7

Find the absolute value of the following when x = 2,

$\left | \frac{x^3-12}{2}\right |$

8

Find the absolute value of the following when x = 2,

$\left | \frac{x^3-12}{2}\right |$

9

$\left | 7 - 2\right | - \left | 4 - 8\right | =?$

10

$\left | 7 - 2\right | - \left | 4 - 8\right | =?$

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