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

What are the two equations to solve for the absolute value equation |x + 6| = 4?

Back

x + 6 = 4 and x + 6 = -4.

Front

What is the absolute value of |-26|?

Back

26.

Front

Evaluate the expression |1 - 5|.

Back

4.

Front

What is the solution set for the equation |v + 8| - 5 = 2?

Back

{-1, -15}.

Front

What is the general form of an absolute value equation?

Back

The general form is |A| = B, where A is an expression and B is a non-negative number.

Front

How do you isolate the absolute value in an equation?

Back

To isolate the absolute value, add or subtract any constants from both sides of the equation.

Front

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

Back

It means that the expression inside the absolute value cannot equal the given value, typically when the right side is negative.

Front

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

Back

x - 3 = 5 and x - 3 = -5, leading to x = 8 and x = -2.

Front

How do you graph an absolute value function?

Back

An absolute value function forms a V shape on the graph, with the vertex at the point where the expression inside the absolute value equals zero.