Master Solving Two step Absolute Value equations

The video tutorial explains how to solve two-step absolute value equations by setting up two cases: one for the positive solution and one for the negative. It emphasizes the use of inverse operations to isolate variables and solve equations. The importance of checking solutions for accuracy is highlighted, and methods for handling fractions using reciprocals are discussed. The tutorial concludes with a final example, reinforcing the process of solving absolute value equations.

What is the absolute value of -3?

• 3

• 0

• -3

• 6

When solving an absolute value equation, why do we consider both positive and negative solutions?

• Because absolute value equations have no solutions

• To eliminate the need for inverse operations

• To account for both possible values that satisfy the equation

• To make the equation more complex

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

• Set up two cases for the equation

• Add a constant to both sides

• Divide both sides by a variable

• Multiply both sides by a fraction

How do you eliminate the absolute value signs in an equation?

• By adding them to both sides

• By setting up two separate equations

• By multiplying by zero

• By ignoring them

What should you do after solving an absolute value equation?

• Multiply the solutions by two

• Add more variables

• Check the solutions to ensure they work

• Ignore the solutions

In solving 1/2 W + 4 = 6, what is the next step after subtracting 4 from both sides?

• Add 4 to both sides

• Multiply by the reciprocal of 1/2

• Subtract 6 from both sides

• Divide by 2

Is it possible for both solutions of an absolute value equation to be positive?

• Only if the equation is quadratic

• No, one must be negative

• Yes, both can be positive

• Only if the equation is linear