Makeup Absolute value equation FLASHCARD

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

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

Back

No solution, because absolute values cannot be negative.

Front

What is the absolute value of |-26|?

Back

26.

Front

Back

Front

Evaluate the expression -2|−2r − 4| = -12. What are the solutions?

Back

Front

Solve the equation |x – 12| - 3 = 11. What are the solutions?

Back

Front

What does it mean if an equation has no solution in terms of absolute value?

Back

It means that the equation cannot be satisfied by any real number.

Front

If |x| = a, what can we say about x?

Back

x can be either a or -a.

Front

What is the graphical representation of an absolute value function?

Back

It forms a V-shape on the graph, opening upwards.

Front

How do you solve an absolute value equation?

Back

Isolate the absolute value expression, then set up two separate equations: one for the positive case and one for the negative case.