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 and x = -5

Front

What does it mean if |x| = a, where a < 0?

Back

There is no solution, as absolute value cannot be negative.

Front

Solve for x: |3x - 2| = 7

Back

x = 3 and x = -rac{5}{3}.

Front

What is the first step to solve |x + 4| = 10?

Back

Set up two equations: x + 4 = 10 and x + 4 = -10.

Front

Solve for x: |2x + 1| + 3 = 7

Back

x = 3 and x = -2.

Front

What is the solution to |x - 1| = 0?

Back

x = 1.

Front

Solve for x: |x - 3| = 4

Back

x = 7 and x = -1.

Front

What is the relationship between absolute value and inequalities?

Back

If |x| < a, then -a < x < a; if |x| > a, then x < -a or x > a.

Front

Solve for x: |x + 2| = 6

Back

x = 4 and x = -8.