Absolute Value Fundamentals

What is \(|-7|\)?

By definition, if \(a < 0\), then \(|a|\) equals:

Evaluate \(|8 - (-3)|\).

Evaluate \(|8 - (-3)|\).

Evaluate \(|-9 - (-6)|\).

Evaluate \(|-9 - (-6)|\).

Which of the following statements about \(|a|\) are always true?

The value \(|a - b|\) represents the distance between a and b on the number line. What is \(|5 - 12|\)?

The absolute value of a real number can be thought of as its ______ from the origin, without regard to direction.

The absolute value of a real number can be thought of as its ______ from the origin, without regard to direction.

Solve \(|x| = 5\). What is the solution set?

Solve \(|x - 8| = 7\) and give the larger of the two solutions.

Solve \(|x - 8| = 7\) and give the larger of the two solutions.

Solve \(|x - 8| = 7\) and give the smaller of the two solutions.

Solve \(|x - 8| = 7\) and give the smaller of the two solutions.