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Pre-Algebra : Absolute Value

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Example Questions

Example Question #1 : Absolute Value

Solve:

$\left | -6+4\right |\times7=$

Possible Answers:

Correct answer:

Explanation:

$\left | -6+4\right |\times7=\left | -2\right |\times7=2\times7=14$

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Example Question #2 : Absolute Value

Solve:

$\left | 7-3\right |=$

Possible Answers:

Correct answer:

Explanation:

Step 1: solve the problem

$\left | 7-3\right |=\left | 4\right |$

Step 2: solve for absolute value

$\left | 4\right |=4$

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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Example Question #3 : Absolute Value

Solve:

$\small \small \left | 3-8 \right | =$

Possible Answers:

$\small 11$

$\small -11$

$\small -5$

$\small 5$

Correct answer:

$\small 5$

Explanation:

First, solve the equation:

$\small \left | 3-8 \right | = \left | -5 \right |$

Next, account for the absolute value:

$\small \left | -5 \right | = 5$

Therefore, the answer is $\small 5$ .

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Example Question #4 : Absolute Value

Solve the expression below:

$\small \small 19+\left |3*(-6) \right |$

Possible Answers:

$\small 36$

$\small -1$

$\small 72$

$\small 37$

$\small 1$

Correct answer:

$\small 37$

Explanation:

$\small \small \small 19+\left |3*(-6) \right |$ simplifies to $\small \small \small \small 19+\left |-18 \right |$

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

So, the expression becomes $\small 19+18$ which adds to $\small 37$

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Example Question #5 : Absolute Value

Evaluate:

$\left | -45 + \left (-83 \right ) \right | - 23$

Possible Answers:

105

None of the other responses is correct.

151

Correct answer:

105

Explanation:

$\left | -45 + \left (-83 \right ) \right | - 23$

$= \left | - \left (45+83 \right ) \right | - 23$

$= \left | - 128 \right | - 23$

= 128 - 23

= 105

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Example Question #4 : Absolute Value

Solve:

$4+\left | -8-5 \right |=$

Possible Answers:

Correct answer:

Explanation:

$4+\left | -8-5 \right |=4+\left | -13 \right |=4+13=17$

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Example Question #7 : Absolute Value

Evaluate for x = 9 :

$| \left | x - 18\right | - x|$

Possible Answers:

Correct answer:

Explanation:

Substitute 9 for and evaluate:

$| \left | x - 18\right | - x|$

$= | \left | 9 - 18\right | - 9|$

$= | \left | - \left (18- 9 \right ) \right | - 9|$

$= | \left | -9 \right | - 9|$

= | 9- 9|

= | 0 |

= 0

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Example Question #5 : Absolute Value

Evaluate for x = -6 :

| |20 + x | - 6 -x |

Possible Answers:

Correct answer:

Explanation:

Substitute for and evaluate:

| |20 + x | - 6 -x |

=| |20 + (-6) | - 6 -(-6) |

=| |20 -6 | - 6 -(-6) |

=|14- 6 -(-6) |

=|8 -(-6) |

=|8+6 |

=|14 |

= 14

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Example Question #9 : Absolute Value

Solve:

$\left | 3-8\right |=$

Possible Answers:

$\textup{No solution}$

Correct answer:

Explanation:

Explanation:

Step 1: Solve the problem

$\left | 3-8\right |=\left | -5\right |$

Step 2: Solve for the absolute value

$\left | -5\right |=5$

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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Example Question #5 : Absolute Value

Solve for .

$\left | x\right |=5$

Possible Answers:

$\pm5$

Correct answer:

$\pm5$

Explanation:

When taking absolute values, we need to consider both positive and negative values. So, we have two answers. x=5, x=-5

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Pre-Algebra : Absolute Value

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #1 : Absolute Value

Example Question #2 : Absolute Value

Example Question #3 : Absolute Value

Example Question #4 : Absolute Value

Example Question #5 : Absolute Value

Example Question #4 : Absolute Value

Example Question #7 : Absolute Value

Example Question #5 : Absolute Value

Example Question #9 : Absolute Value

Example Question #5 : Absolute Value

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