Pre-Algebra : Absolute Value

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

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Example Question #1 : Absolute Value

Solve:

Possible Answers:

Correct answer:

Explanation:

Example Question #2 : Absolute Value

Solve:

Possible Answers:

Correct answer:

Explanation:

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. 

Example Question #3 : Absolute Value

Solve:

 

Possible Answers:

Correct answer:

Explanation:

First, solve the equation:

Next, account for the absolute value:

Therefore, the answer is .

Example Question #4 : Absolute Value

Solve the expression below:

  

Possible Answers:

Correct answer:

Explanation:

 simplifies to 

For absolute value expressions, the value within the bars is treated as positive

So, the expression becomes  which adds to 

Example Question #5 : Absolute Value

Evaluate:

Possible Answers:

None of the other responses is correct.

Correct answer:

Explanation:

Example Question #6 : Absolute Value

Solve:

Possible Answers:

Correct answer:

Explanation:

Example Question #7 : Absolute Value

Evaluate for :

Possible Answers:

Correct answer:

Explanation:

Substitute 9 for  and evaluate:

Example Question #8 : Absolute Value

Evaluate for :

Possible Answers:

Correct answer:

Explanation:

Substitute  for  and evaluate:

Example Question #9 : Absolute Value

Solve:

Possible Answers:

Correct answer:

Explanation:

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.

Example Question #10 : Absolute Value

Solve for .

Possible Answers:

Correct answer:

Explanation:

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

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