Algebra 1 : Number Lines and Absolute Value
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Example Questions
Example Question #1 : How To Plot Fractions On A Number Line
Plot the fraction 
The fraction 
Because 
Example Question #1 : How To Find Absolute Value
What number or numbers have absolute value 
No such numbers exist.
No such numbers exist.
The absolute value of every real number is nonnegative, so no number with absolute value 
Example Question #2 : How To Find Absolute Value
What number or numbers have absolute value 
No such numbers exist.
No such numbers exist.
The absolute value of every real number is nonnegative, so no number with absolute value 
Example Question #3 : How To Find Absolute Value
What number or numbers have absolute value 29?
No such number exists.
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 
Example Question #4 : How To Find Absolute Value
What number or numbers have absolute value 11?
No such numbers exist.
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 
Example Question #2 : How To Find Absolute Value
Evaluate the expression.
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 #4 : How To Find Absolute Value
Solve for 
A solution does not exist.
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 #5 : How To Find Absolute Value
Mr. Smith and his wife went on a trip, they travelled 
Not enough information.
Even though the Smiths travelled backwards you still have to add the positive number to the equation. So it looks like this:
Example Question #9 : Number Lines And Absolute Value
Simplify the following equation:
It is important to understand that the absolute value is the distance from 
To simply this equation you need to simplify the absolute values first.
Then simplify the function
Example Question #4 : How To Find Absolute Value
Solve:
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:
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