### All SAT Math Resources

## Example Questions

### Example Question #891 : Arithmetic

Simplify the following:

**Possible Answers:**

**Correct answer:**

Simplify the following:

Begin with basic subtraction:

Next, remember what we do with absolute value signs; we change negative values to positive values, and positive values remain positive.

So our answer is positive 51

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

Solve for all possible values of x.

**Possible Answers:**

**Correct answer:**

When solving for x in the presence of absolute value, there are always two answers.

To eliminate the absolute value, the equation must be re-written two ways:

and

and

and

and

and

### Example Question #891 : Arithmetic

Define an operation as follows:

For all real numbers ,

Evaluate

**Possible Answers:**

Both and

**Correct answer:**

### Example Question #1771 : Sat Mathematics

If , what is the value of ?

**Possible Answers:**

**Correct answer:**

Substitute – 4 in for x. Remember that when a negative number is raised to the third power, it is negative. - = – 64. – 64 – 36 = – 100. Since you are asked to take the absolute value of – 100 the final value of f(-4) = 100. The absolute value of any number is positive.

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