How to find absolute value

Practice Questions

SAT Math › How to find absolute value

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1

Let and both be negative numbers such that $\left | 2a-3 \right |=5$ and $\left | 3-4b \right |=11$ . What is $\left | b-a \right |$ ?

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

If $f(x)=\left | x^{3}-36 \right |$ , what is the value of ?

5

Solve:

$| \frac{x}{2}+\pi | =4\pi$

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 expression:

$\left | 3\cdot4-25\right |$

8

Evaluate the expression if and .

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

9

Evaluate for :

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

10

Simplify the following:

$\left | 56-107\right |$

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