How to find absolute value

Practice Questions

ACT Math › How to find absolute value

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1

Which of the following sentences is represented by the equation

2

Evaluate for :

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

3

Define an operation $\blacktriangledown$ as follows:

For all real numbers ,

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

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

4

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

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

5

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

6

Evaluate the expression if and .

$\left | 4x+3y \right | - \left | 4x-3y \right |$

7

Evaluate for :

$\left | 2x - 18 \right | + \left | 3x - 7 \right |$

8

Evaluate for :

$\left |0.5 x - 0.7 \right | - \left |0.6 x - 0.4 \right |$

9

Define $f(x) = |3x - |x^{2}- 7|; |$

Evaluate .

10

Define $g(x)= \left | \left | 1,000- \sqrt{x}\right | - x^{3} \right |$ .

Evaluate .

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