Absolute Value

Practice Questions

SAT Math › 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

Which of the following sentences is represented by the equation

4

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

5

Evaluate for :

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

6

Evaluate for :

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

7

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

8

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

9

Define an operation $\blacktriangledown$ as follows:

For all real numbers ,

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

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

10

Solve:

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

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