Absolute Value Flashcard

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

Solve the equation |x - 5| = 3.

Back

x = 8 or x = 2.

Front

What does the equation f(x) = |x| represent?

Back

It represents the absolute value function, which outputs the non-negative value of x.

Front

Solve the equation |2x + 9| = 15.

Back

x = 3 or x = -12.

Front

What is the solution to the equation |6 - 2k| = 18?

Back

k = -6 or k = 12.

Front

The absolute value of -7 is _________.

Back

7.

Front

What is the equation of the absolute value function that shifts up by 4 units?

Back

f(x) = |x| + 4.

Front

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

Back

x = 0.

Front

What is the absolute value of 3?

Back

3.

Front

The absolute value of a number is _________ positive.

Back

always.