SAT Math : Arithmetic

Study concepts, example questions & explanations for SAT Math

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Example Questions

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Example Question #891 : Arithmetic

Simplify the following:

Possible Answers:

Correct answer:

Explanation:

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:

Explanation:

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:

Explanation:

Example Question #1771 : Sat Mathematics

If , what is the value of ?

Possible Answers:

Correct answer:

Explanation:

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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