Solving Equations and Absolute Value

The video tutorial explains how to solve two-step absolute value equations. It begins with an introduction to the concept, followed by setting up equations with both positive and negative solutions. The instructor demonstrates solving these equations using inverse operations and highlights common mistakes. Through repetition and practice, viewers learn to handle advanced examples and variations. The tutorial concludes with a final example and summary of key points.

What is the first step in solving a two-step absolute value equation?

• Add a constant to both sides

• Divide both sides by a constant

• Set up two separate equations

• Multiply both sides by a constant

Why do we consider both positive and negative solutions in absolute value equations?

• Because absolute value can only be positive

• To simplify the equation

• To account for both possible values of the variable

• To eliminate the variable

What operation is typically used to isolate the variable in an absolute value equation?

• Addition

• Division

• Subtraction

• Multiplication

In the equation 3x + 14 = -7, what is the first step to solve for x?

• Multiply both sides by 3

• Subtract 14 from both sides

• Add 14 to both sides

• Divide both sides by 3

What is the first step in solving the equation 3x + 14 = 7?

• Add 14 to both sides

• Multiply both sides by 3

• Divide both sides by 3

• Subtract 14 from both sides

What is the purpose of using inverse operations in solving equations?

• To add more variables

• To isolate the variable

• To make the equation more complex

• To eliminate the variable

What is the first step in solving the equation 3x + 14 = -7?

• Add 14 to both sides

• Divide both sides by 3

• Subtract 14 from both sides

• Multiply both sides by 3

What is the first step in solving the equation 3x + 14 = 7?

• Divide both sides by 3

• Subtract 14 from both sides

• Add 14 to both sides

• Multiply both sides by 3

What is the purpose of using inverse operations in solving equations?

• To make the equation more complex

• To isolate the variable

• To eliminate the variable

• To add more variables

What mistake was corrected in the example equation?

• Forgetting to set up two equations

• Multiplying instead of dividing

• Using addition instead of subtraction

• Dividing by the wrong number