Understanding Absolute Value Equations

What is the primary characteristic of absolute value equations?

• They only have positive solutions.

• They yield two solutions: one positive and one negative.

• They always have a single solution.

• They are always greater than zero.

When solving an absolute value equation, what is the first step?

• Multiply both sides by a constant.

• Subtract a constant from both sides.

• Add a constant to both sides.

• Isolate the absolute value expression.

In the equation |x - 10| = 15, what should be done first?

• Subtract 10 from both sides.

• Add 10 to both sides.

• Multiply both sides by 10.

• Divide both sides by 10.

How do you solve |x/3| = 7?

• Divide both sides by 3.

• Subtract 3 from both sides.

• Multiply both sides by 3.

• Add 3 to both sides.

What is the solution to the equation 2|x| = 24?

• x = 12 or x = -12

• x = 24 or x = -24

• x = 48 or x = -48

• x = 6 or x = -6