Absolute Value

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is always non-negative.

Front

What is the absolute value of |-26|?

Back

26

Front

What does the equation |v + 8| − 5 = 2 represent?

Back

This equation represents a situation where the expression inside the absolute value can yield two possible values for v.

Front

How do you solve the equation |x| = a where a > 0?

Back

The solutions are x = a and x = -a.

Front

What is the solution set for the equation |x + 9| = -5?

Back

No solution, because absolute values cannot be negative.

Front

How do you interpret the equation |2x - 1| = 9?

Back

This equation can be split into two cases: 2x - 1 = 9 and 2x - 1 = -9.

Front

What are the solutions for the equation |5x| = 40?

Back

x = 8 and x = -8.

Front

What does the absolute value symbol indicate in mathematics?

Back

It indicates the magnitude of a number without regard to its sign.

Front

If |x| = 0, what is the value of x?

Back

x = 0.

Front

What is the graphical representation of absolute value functions?

Back

Absolute value functions create a V-shaped graph.