Algebra 1 : Algebra 1
Study concepts, example questions & explanations for Algebra 1
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Example Questions
Example Question #1 : 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 #2 : 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:
Example Question #1 : How To Find Absolute Value
Simplify the following expression:
Simplify the following expression:
We can begin by changing the absolute value sign to a positive 16.
We can do this because negative numbers within an absolute value sign should always be thought of as positive numbers.
Next, simplify your fraction to get
Example Question #11 : Number Lines And Absolute Value
Answer the following using
The absolute value of a number is equal to the distance that number is from zero on a number. Because it is a distance, it cannot be negative. So
can be found at a distance of 9 from zero on a number. Therefore,
So, we can rewrite the original problem.
This can now very easily be solved.
Example Question #3241 : Algebra 1
Solve:
Solve what is inside the absolute value first.
Any value inside an absolute value will result to a positive number.
The answer is:
Example Question #13 : Number Lines And Absolute Value
Solve:
By order of operations, solve the terms inside the absolute value first.
Any number inside an absolute value sign will be converted to positive.
Multiply the two numbers.
The answer is:
Example Question #3242 : Algebra 1
Simplify the following:
To solve, first treat the absolute value like a parenthesis and simplify your inside. Therefore you get,
Then, you must remember that absolute value means you make the quantity on the inside positive, so our number becomes 3 instead of negative 3.
Example Question #15 : Number Lines And Absolute Value
Solve the following:
Solve the terms inside of the absolute value first.
Simplify the inside of the absolute value. Any value inside will turn into a positive number.
Square the inner term.
Simplify.
The answer is:
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