Absolute Value - Pre-Algebra
Card 0 of 212
Solve:

Solve:
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Simplify the following:

Simplify the following:
It is important to be careful of where the negative sign is when simplifying.
When simplifying you should end up with:
which equals 
It is important to be careful of where the negative sign is when simplifying.
When simplifying you should end up with:
which equals
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Solve:

Solve:
First, solve the equation:

Next, account for the absolute value:

Therefore, the answer is
.
First, solve the equation:
Next, account for the absolute value:
Therefore, the answer is .
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Solve:

Solve:
Step 1: solve the problem

Step 2: solve for absolute value

Remember, absolute value refers to the total number of units, so it will always be positive. For instance, if I am \$4 in debt, I have -\$4, but the absolute value of my debt is \$4, because that is the total number of dollars that I'm in debt.
Step 1: solve the problem
Step 2: solve for absolute value
Remember, absolute value refers to the total number of units, so it will always be positive. For instance, if I am \$4 in debt, I have -\$4, but the absolute value of my debt is \$4, because that is the total number of dollars that I'm in debt.
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Solve:

Solve:
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Solve:

Solve:
Explanation:
Step 1: Solve the problem

Step 2: Solve for the absolute value

Remember, absolute value refers to the total number of units, so it will always be positive. For instance, if I am \$5 in debt, I have -\$5, but the absolute value of my debt is \$5, because that is the total number of dollars that I'm in debt.
Explanation:
Step 1: Solve the problem
Step 2: Solve for the absolute value
Remember, absolute value refers to the total number of units, so it will always be positive. For instance, if I am \$5 in debt, I have -\$5, but the absolute value of my debt is \$5, because that is the total number of dollars that I'm in debt.
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Solve the expression below:

Solve the expression below:
simplifies to 
For absolute value expressions, the value within the bars is treated as positive
So, the expression becomes
which adds to 
simplifies to
For absolute value expressions, the value within the bars is treated as positive
So, the expression becomes which adds to
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Evaluate:

Evaluate:
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If
, what is the value of
?
If , what is the value of
?
Substitute 5 for
in the given equation and evaluate.

Remember that the absolute value of a number is its distance from zero on a number line. Distance is always positive; therefore, you can rewrite the expression.

Subtracting a positive number from a negative number is the same as adding a negative number.



Solve.

Substitute 5 for in the given equation and evaluate.
Remember that the absolute value of a number is its distance from zero on a number line. Distance is always positive; therefore, you can rewrite the expression.
Subtracting a positive number from a negative number is the same as adding a negative number.
Solve.
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Evaluate for
:

Evaluate for :
Substitute 9 for
and evaluate:







Substitute 9 for and evaluate:
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Evaluate for
:

Evaluate for :
Substitute
for
and evaluate:








Substitute for
and evaluate:
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Solve for
.

Solve for .
When taking absolute values, we need to consider both positive and negative values. So, we have two answers. 
When taking absolute values, we need to consider both positive and negative values. So, we have two answers.
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Solve for
.

Solve for .
When taking absolute values, we need to consider both positive and negative values. So, we have two equations. 
For the left equation, we can switch the minus sign to the other side to get
. When we subtract
on both sides, we get
.
For the right equation, just subtract
on both sides, we get
.

When taking absolute values, we need to consider both positive and negative values. So, we have two equations.
For the left equation, we can switch the minus sign to the other side to get . When we subtract
on both sides, we get
.
For the right equation, just subtract on both sides, we get
.
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Solve for
.

Solve for .
When taking absolute values, we need to consider both positive and negative values. So, we have two answers. 
When taking absolute values, we need to consider both positive and negative values. So, we have two answers.
Compare your answer with the correct one above
Solve for
.

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
.

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
.
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Solve for
.

Solve for .
When taking absolute values, we need to consider both positive and negative values. So, we have two equations. 
For the left equation, when we divide both sides by
,
.
For the right equation, we distribute the negative sign to get
. When we divide both sides by
,
.

When taking absolute values, we need to consider both positive and negative values. So, we have two equations.
For the left equation, when we divide both sides by ,
.
For the right equation, we distribute the negative sign to get . When we divide both sides by
,
.
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Solve for
.

Solve for .
When taking absolute values, we need to consider both positive and negative values. Let's first subtract
on both sides. So, we have two equations. 
For the left equation, when we divide both sides by
,
.
For the right equation, we distribute the negative sign to get
. When we divide both sides by
,
.

When taking absolute values, we need to consider both positive and negative values. Let's first subtract on both sides. So, we have two equations.
For the left equation, when we divide both sides by ,
.
For the right equation, we distribute the negative sign to get . When we divide both sides by
,
.
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Solve for
.

Solve for .
When taking absolute values, we need to consider both positive and negative values. Let's multiply both sides by
to get rid of the fraction. So, we have two equations. 
For the left equation, when we divide both sides by
,
.
For the right equation, we distribute the negative sign to get
. When we divide both sides by
,
.

When taking absolute values, we need to consider both positive and negative values. Let's multiply both sides by to get rid of the fraction. So, we have two equations.
For the left equation, when we divide both sides by ,
.
For the right equation, we distribute the negative sign to get . When we divide both sides by
,
.
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Solve for
.

Solve for .
When taking absolute values, we need to consider both positive and negative values. Let's multiply each side by
to get rid of the fraction. So, we have two equations. 
For the left equation, when we divide both sides by
,
.
For the right equation, we distribute the negative sign to get
. When we divide both sides by
,
.

When taking absolute values, we need to consider both positive and negative values. Let's multiply each side by to get rid of the fraction. So, we have two equations.
For the left equation, when we divide both sides by ,
.
For the right equation, we distribute the negative sign to get . When we divide both sides by
,
.
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Solve for 

Solve for
When taking absolute values, we need to consider both positive and negative values. So, we have two equations. 
For the left equation, we subtract
on both sides and subtract
on both sides. We now have
. When we divide both sides by
,
.
For the right equation, we subtract
on both sides and subtract
on both sides. We now have
. When we divide both sides by
,
.
Let's double check. When we plug in
, both sides aren't equal.



But if we plug in
we get both sides equal.



So
is the only answer.
When taking absolute values, we need to consider both positive and negative values. So, we have two equations.
For the left equation, we subtract on both sides and subtract
on both sides. We now have
. When we divide both sides by
,
.
For the right equation, we subtract on both sides and subtract
on both sides. We now have
. When we divide both sides by
,
.
Let's double check. When we plug in , both sides aren't equal.
But if we plug in we get both sides equal.
So is the only answer.
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