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 - 6| + 4 = 10

Back

x = 12 and x = 0

Front

What does the equation |2x + 9| = 15 represent?

Back

It represents two possible equations: 2x + 9 = 15 and 2x + 9 = -15.

Front

Solve for x: |2x - 1| = 9

Back

x = 5 and x = -4

Front

What is the solution to |x + 9| = -5?

Back

No solution, because absolute values cannot be negative.

Front

If |x| = a, what can be said about x?

Back

x can be either a or -a.

Front

What is the graphical representation of absolute value functions?

Back

Absolute value functions create a V-shape on a graph, opening upwards.

Front

Solve for x: |x - 3| = 5

Back

x = 8 and x = -2

Front

What is the relationship between absolute value and inequalities?

Back

Absolute value inequalities can be split into two separate inequalities to solve.

Front

Solve for x: |x + 4| < 3

Back

-7 < x < -1