Absolute value

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

Solve for x: |x| = 5

Back

x = 5 or x = -5.

Front

What is the absolute value of -10?

Back

|-10| = 10.

Front

Solve for x: |3x - 4| = 7

Back

x = 3 or x = -1.

Front

What does it mean if |x| < a?

Back

It means that x is within a distance of a from zero, or -a < x < a.

Front

Solve for x: |2x + 1| = 3

Back

x = 1 or x = -2.

Front

What is the solution set for |x| = -3?

Back

No solution, since absolute values cannot be negative.

Front

Evaluate: |x + 4| = 0

Back

x = -4.

Front

What is the vertex of the function f(x) = 2|x - 3| + 1?

Back

The vertex is (3, 1).

Front

Solve for x: 3|−8x| + 8 = 80

Back

x = -3 or x = 3.