Pd 6 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

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

Back

no solution, because absolute values cannot be negative.

Front

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

Back

7

Front

Back

It represents two possible equations: 9x - 4 = 76 and 9x - 4 = -76.

Front

Back

The solution set is {80/9, -8}.

Front

Evaluate the expression |1 - 5|.

Back

4

Front

What is the first step to solve the equation |2x - 3| + 5 = 10?

Back

Subtract 5 from both sides to isolate the absolute value: |2x - 3| = 5.

Front

What are the two cases to consider when solving |x| = a, where a > 0?

Back

x = a and x = -a.

Front

What is the solution to the equation |2x - 3| = 5?

Back

The solutions are x = 4 and x = -1.

Front

How do you graph the absolute value function y = |x|?

Back

The graph forms a V shape, with the vertex at the origin (0,0) and opens upwards.