Solving Absolute Value Equations

The video tutorial explains how to solve multi-step equations involving absolute values. The process involves splitting the equation into two separate equations, one with a positive result and the other with a negative result. Each equation is then solved for x by performing operations such as subtraction and division. The final solutions for x are -5 and 13, completing the problem.

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

• Add a constant to both sides

• Multiply both sides by a constant

• Split the equation into two separate equations

• Combine like terms

When splitting an absolute value equation, what are the two possible results?

• Both positive

• Both negative

• One positive and one negative

• Zero and one

Why is it necessary to split an absolute value equation into two separate equations?

• To eliminate variables

• To simplify the equation

• To account for both positive and negative solutions

• To make the equation linear

In the positive equation, what operation is performed after subtracting 12?

• Add 15

• Subtract 15

• Divide by -3

• Multiply by 3

What is the value of x in the positive equation after solving?

• -13

• 13

• -5

• 5

What is the result of dividing both sides by -3 in the positive equation?

• x = 13

• x = -5

• x = -13

• x = 5

What is the first step in solving the positive equation?

• Divide by 3

• Subtract 12 from both sides

• Multiply by -3

• Add 12 to both sides

What is the purpose of rewriting the equation after subtracting 12?

• To simplify the equation

• To check for errors

• To eliminate variables

• To prepare for division

In the negative equation, what is the result after subtracting 12 from both sides?

• 27

• -39

• -27

• 39

What operation is performed after rewriting the negative equation?

• Multiply by 3

• Divide by -3

• Subtract 12

• Add 12