Solving Absolute Value Equations Using Multi Steps

The video tutorial explains the concept of absolute value, emphasizing its role in measuring distance on a number line without regard to direction. It then demonstrates how to solve absolute value equations by finding both positive and negative solutions. The tutorial includes a detailed example problem, illustrating the step-by-step process of isolating the absolute value and solving for the variable. The video concludes with a comprehensive breakdown of the solution steps, ensuring a clear understanding of the method used to solve absolute value equations.

What does the absolute value of a number represent?

• The negative value of the number

• The distance of the number from zero on the number line

• The direction of the number on the number line

• The square of the number

When solving absolute value equations, what must you consider?

• Only the positive solution

• Only the negative solution

• Both positive and negative solutions

• Neither solution

What is the first step in solving an absolute value equation?

• Subtract a constant from both sides

• Multiply both sides by a variable

• Isolate the absolute value expression

• Add a constant to both sides

How do you handle the absolute value when solving equations?

• Ignore it and solve normally

• Split into two separate equations

• Consider it as zero

• Multiply it by two

What is the solution for X in the equation |X + 1| = 2X - 2?

• X = 0 and X = 4

• X = 3 and X = 1/3

• X = 1 and X = -1

• X = 2 and X = -2