# SSAT Upper Level Math : How to find absolute value

## Example Questions

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Evaluate for :

Explanation:

### Example Question #6 : How To Find Absolute Value

Evaluate for  :

Explanation:

Substitute 0.6 for  :

Evaluate for :

Explanation:

Substitute .

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

Which of the following sentences is represented by the equation

None of the other responses are correct.

The sum of three and the absolute value of the sum of a number 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.

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

The absolute value of the sum of a number and seven is three greater 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 #2 : How To Find Absolute Value

Define

Evaluate .

None of the other responses is correct.

Explanation:

### Example Question #2 : New Sat Math Calculator

Define an operation  as follows:

For all real numbers ,

Evaluate: .

None of the other responses is correct.

The expression is undefined.

Explanation:

, or, equivalently,

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

Define .

Evaluate .

Explanation:

, or, equivalently,

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

Define an operation  as follows:

For all real numbers ,

Evaluate .

Explanation:

Define .

Evaluate .

Explanation:

### Example Question #11 : How To Find Absolute Value

Define an operation  as follows:

For all real numbers ,

Evaluate