# SSAT Upper Level Math : How to find absolute value

## Example Questions

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Evaluate for :

Explanation:

### Example Question #2 : How To Find Absolute Value

Evaluate for  :

Explanation:

Substitute 0.6 for  :

Evaluate for :

Explanation:

Substitute .

### Example Question #4 : How To Find Absolute Value

Which of the following sentences is represented by the equation

The absolute value of the sum of a number and seven is three less than the number.

The sum of three and the absolute value of the sum of a number is three greater than the number.

None of the other responses are correct.

The absolute value of the sum of a number and seven is three greater than the number.

The sum of three and the absolute value of the sum of a number is three less than the number.

The absolute value of the sum of a number and seven is three less than the number.

Explanation:

is the absolute value of , which in turn is the sum of a number and  seven and a number. Therefore,  can be written as "the absolute value of the sum of a number and seven". Since it is equal to , it is three less than the number, so the equation that corresponds to the sentence is

"The absolute value of the sum of a number and seven is three less than the number."

### Example Question #1 : How To Find Absolute Value

Define

Evaluate .

None of the other responses is correct.

Explanation:

### Example Question #2 : Absolute Value

Define an operation  as follows:

For all real numbers ,

Evaluate: .

The expression is undefined.

None of the other responses is correct.

Explanation:

, or, equivalently,

### Example Question #881 : Arithmetic

Define .

Evaluate .

Explanation:

, or, equivalently,

### Example Question #882 : Arithmetic

Define an operation  as follows:

For all real numbers ,

Evaluate .

Explanation:

Define .

Evaluate .

Explanation:

### Example Question #13 : How To Find Absolute Value

Define an operation  as follows:

For all real numbers ,

Evaluate