Absolute value equation FLASHCARD

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, always expressed as a positive value.

Front

Solve the equation: |v + 8| − 5 = 2

Back

The solutions are v = -1 and v = -15.

Front

Evaluate the expression: | x + 9 | = -5

Back

No solution, because absolute values cannot be negative.

Front

Evaluate the expression: |-2| + |-5|

Back

The result is 7.

Front

Why is absolute value always written as a positive?

Back

Absolute value represents distance from zero on a number line, and distance is always measured in positive terms.

Front

Solve the equation: −2|−2r − 4| = -12

Back

The solutions are r = -5 and r = 1.

Front

What does |x| represent?

Back

|x| represents the absolute value of x, which is the non-negative value of x.

Front

If |a| = b, what can we conclude about a?

Back

a can be either b or -b.

Front

What is the absolute value of -7?

Back

The absolute value of -7 is 7.

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.