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Example Questions
Example Question #21 : Absolute Value
Solve for .
When taking absolute values, we need to consider both positive and negative values. So, we have two equations. and
For the left equation, we can subtract on both sides to get .
For the right equation, we can subtract on both sides to get .
Example Question #21 : Absolute Value
Evaluate:
First, do . This gives us . The absolute value function takes that negative and gives us back a positive .
Example Question #23 : Absolute Value
Evaluate the following expression:
The absolute value is the expression's distance from 0. The absolute value will give a positive number since distance cannot be a negative number.
Example Question #24 : Absolute Value
Which of the following answers contain a number or numbers with an absolute value of fifteen?
and
and
and
and
We can think of the absolute value of a number as describing the distance of that number from zero on the number line. Both and are numbers away from zero, but in opposite directions. Therefore, this is the correct answer.
Example Question #22 : Absolute Value
Simplify:
To solve this question, first evaluate the inside of the absolute value. Afterward, square the inner term and apply the negative sign.
Example Question #23 : Absolute Value
Solve:
Simplify the value inside the absolute value first.
Any value inside the absolute value will be converted to a positive number.
Example Question #27 : Absolute Value
Simplify the absolute values:
Any quantity inside the absolute will result in a positive value. Simplify the inside quantity of the absolute value first.
Reconvert the values contained by absolute values.
Example Question #28 : Absolute Value
Find the value of this equation.
When dealing with an absolute value question, remember that inside the absolute value lines the answer will be positive. If a negative sign is outside of the absolute value bars, you must take that to the answer or next step of the equation.
Example Question #24 : Absolute Value
Solve:
Evalute the absolute values first. Any negative or positive value inside a absolute value will be converted to a positive number.
Example Question #25 : Absolute Value
Solve:
Evaluate the terms inside the absolute value first before simplifying.
The answer is:
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