Algebra II : Algebra II
Study concepts, example questions & explanations for Algebra II
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Example Questions
Example Question #11 : Solving Absolute Value Equations
Solve for 
When solving for absolute values, remember there's an equation for positive value and another equation for negative value.
ubtract 
Example Question #12 : Solving Absolute Value Equations
Solve for 
When solving for absolute values, remember there's an equation for positive value and another equation for negative value.
Add 
Example Question #12 : Solving Absolute Value Equations
Solve for 
When solving for absolute values, remember there's an equation for positive value and another equation for negative value.
Multiply both sides by 
Example Question #13 : Solving Absolute Value Equations
Solve for 
When solving for absolute values, remember there's an equation for positive value and another equation for negative value.
Divide both sides by 
Example Question #14 : Solving Absolute Value Equations
Solve:
To solve absolute value equations, you have to set up the equation two different ways to account for two answers.
The first is how you see it:
The second is by making the answer negative:
Next solve each one for x. The first equation yields x to be 7. The second one gives you x=-6. Those are your two answers.
Example Question #15 : Solving Absolute Value Equations
Solve for 
No solution
No solution
Given
first subtract 8 from both sides to get 
Based upon what we know about absolute value functions, it is impossible for an absolute value to be negative. So it is also impossible for an absolute value to be less than a negative number, which in this case is 
The only answer can be No Solution.
Example Question #12 : Absolute Value
Solve for 
Solve using inverse opperations:
Divide both sides by 2.
Because the absolute value function always makes whatever is inside positive, this gives us two solutions. 
or
Example Question #12 : Absolute Value
Solve for 
In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.
First add 4 to both sides
The absolute value function makes whatever is inside positive, which means that there are two possible solutions. 
so we'll solve for both
or
Example Question #21 : Absolute Value
Solve for 
In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.
First multiply both sides by 4.
The absolute value function turns whatever is inside positive, so this has two solutions. 
Next subtract 1 from both sides.
Then, divide by -3.
or
Now subtract 1 from both sides.
Finally, divide both sides by -3
Example Question #22 : Absolute Value
Solve for 
In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.
First, divide both sides by 3.
The absolute value function makes whatever is inside positive, so this has two potential solutions. 
or
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