Solving Absolute Value Equations

This video tutorial covers solving absolute value equations, highlighting cases with two solutions, no solutions, and single solutions. It explains the properties of absolute values, demonstrates solving basic and complex equations, and addresses scenarios where equations have no solution due to negative values. The tutorial also explores multi-step equations and the impact of external negative values on solutions.

What is the absolute value of -4?

• -4

• 0

• 4

• 8

How many solutions can an absolute value equation have?

• Three

• Four

• Two

• One

What is the absolute value of 4?

• 8

• 0

• -4

• 4

What is the first step in solving |X - 4| = 6?

• Add 4 to both sides

• Subtract 4 from both sides

• Set X - 4 equal to 6 and -6

• Multiply both sides by 4

If |X - 4| = 6, what are the possible values of X?

• 10 and -2

• 6 and -6

• 8 and -8

• 4 and -4

What is the result of solving |X - 4| = 6?

• X = 10 or X = -2

• X = 6 or X = -6

• X = 8 or X = -8

• X = 4 or X = -4

What is the result of solving |X - 4| = 6?

• X = 10 or X = -2

• X = 6 or X = -6

• X = 8 or X = -8

• X = 4 or X = -4

Why can't an absolute value be equal to a negative number?

• Because absolute values are always negative

• Because zero is the smallest number

• Because negative numbers don't exist

• Because absolute values are always positive

What is the solution to |4X + 2| = -8?

• X = 0

• No solution

• X = -2

• X = 2

What is the result of solving |4X + 2| = -8?

• X = 0

• No solution

• X = -2

• X = 2