Master Solving One Step Absolute Value equations

This video tutorial explains how to solve one-step absolute value equations. It begins with a review of absolute value as the distance on a number line, emphasizing that distance is always positive. The tutorial then covers solving equations by considering both positive and negative solutions, and highlights scenarios where no solution exists. The process involves rewriting equations without absolute value symbols and using inverse operations. Example problems are provided to reinforce the concepts.

What does the absolute value of a number represent?

• The number itself

• The square of the number

• The distance from zero on a number line

• The negative of the number

What is the result of the absolute value of -3?

• 3

• -3

• 0

• 6

How many solutions can an absolute value equation have?

• Three

• Two

• None

• One

What happens if an absolute value equation equals a negative number?

• It has one solution

• It has two solutions

• It has infinite solutions

• It has no solution

Which of the following is a correct step in solving an absolute value equation?

• Add the absolute value to both sides

• Ignore the absolute value

• Set up two equations, one positive and one negative

• Multiply both sides by zero

When solving absolute value equations, why is it important to check both solutions?

• To find the larger solution

• To verify that both solutions satisfy the original equation

• To eliminate extraneous solutions

• To ensure both solutions are positive

In the context of absolute value, what is meant by 'extraneous solutions'?

• Solutions that are greater than zero

• Solutions that are less than zero

• Solutions that are not real numbers

• Solutions that do not satisfy the original equation