Algebra 1 : How to find absolute value

Example Questions

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Example Question #1 : Number Lines And Absolute Value

What number or numbers have absolute value  ?

No such numbers exist.

No such numbers exist.

Explanation:

The absolute value of every real number is nonnegative, so no number with absolute value  can exist.

Example Question #1 : How To Find Absolute Value

What number or numbers have absolute value  ?

No such numbers exist.

No such numbers exist.

Explanation:

The absolute value of every real number is nonnegative, so no number with absolute value  can exist.

Example Question #3232 : Algebra 1

What number or numbers have absolute value 29?

No such number exists.

Explanation:

The absolute value of any positive number is the number itself, so 29 has 29 as an absolute value. Also, the absolute value of a negative number is its (positive) opposite, so  also has 29 as an absolute value.

Example Question #2 : Number Lines And Absolute Value

What number or numbers have absolute value 11?

No such numbers exist.

Explanation:

The absolute value of any positive number is the number itself, so 11 has 11 as an absolute value. Also, the absolute value of a negative number is its (positive) opposite, so  also has 11 as an absolute value.

Example Question #1 : How To Find Absolute Value

Evaluate the expression.

Explanation:

First, simplify the terms in parentheses and absolute value.

Remember that the absolute value of a negative term is positive.

Multiply and simplify.

Example Question #1 : How To Find Absolute Value

Solve for .

A solution does not exist.

Explanation:

Divide both sides by .

Remove the absolute value brackets by setting the expression equal to both the positive and negative values of 4:

or

Example Question #1 : How To Find Absolute Value

Mr. Smith and his wife went on a trip, they travelled  miles towards their destination, however on the way there they had to turn around and drive  miles away from their destination to get Mr. Smith's wallet from the store. After getting his wallet they drove  more miles to reach their destination. What is the total number of miles that the family covered?

Not enough information.

Explanation:

Even though the Smiths travelled backwards you still have to add the positive number to the equation. So it looks like this:

which equals

Example Question #3241 : Algebra 1

Simplify the following equation:

Explanation:

It is important to understand that the absolute value is the distance from  a number is.

To simply this equation you need to simplify the absolute values first.

Then simplify the function

Example Question #9 : How To Find Absolute Value

Solve:

Explanation:

In order to solve this absolute value, we will need to split up the absolute value in its positive and negative solution.

Break up the absolute value and rewrite the terms for the positive solution and solve for .

For the negative solution, split up the absolute value and add a negative in front of the quantity which was contained by the absolute value.

Divide by negative one on both sides.

Subtract three on both sides.

Simplify both sides.

The answers to this question are:

Example Question #10 : How To Find Absolute Value

Simplify the following expression: