Absolute value review

Front

What is the definition of absolute value?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is denoted as |x|.

Front

What is the absolute value of -5?

Back

| -5 | = 5

Front

What is the absolute value of 3?

Back

| 3 | = 3

Front

How do you solve the equation |x| = a?

Back

To solve |x| = a, you set up two equations: x = a and x = -a.

Front

Back

| -26 | = 26

Front

What does the graph of f(x) = |x| look like?

Back

The graph is a V-shape that opens upwards, with the vertex at the origin (0,0).

Front

What is the equation of the graph of f(x) = |x - 2|?

Back

The graph is a V-shape with the vertex at (2,0) and opens upwards.

Front

What is the solution to the equation |x + 3| = 7?

Back

The solutions are x = 4 and x = -10.

Front

What is the meaning of the expression |x - 4| - 3?

Back

This represents a vertical shift of the graph of |x - 4| down by 3 units.

Front

How do you evaluate |1 - 5|?

Back

|1 - 5| = |-4| = 4.