Learn How To Isolate the ABS Sign to Solve Absolute Value Equations

The video tutorial explains how to solve an equation involving absolute values. It begins with an example problem where the absolute value is multiplied by three and subtracted by one. The teacher outlines a process to isolate the absolute value by undoing addition and subtraction, followed by multiplication. Once isolated, two cases are created and solved. The solutions are verified by plugging them back into the equation where the absolute value is isolated, ensuring accuracy with less work.

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

• Add a constant to both sides

• Isolate the absolute value expression

• Multiply both sides by a constant

• Divide both sides by a constant

After isolating the absolute value, what is the next step in solving the equation?

• Multiply both sides by the same number

• Subtract the same number from both sides

• Add the same number to both sides

• Create two separate equations

When creating two cases from an absolute value equation, what should each case represent?

• The expression inside the absolute value equals the reciprocal of the other side

• The expression inside the absolute value equals the square of the other side

• The expression inside the absolute value equals both the positive and negative of the other side

• The absolute value equals zero

Why is it beneficial to check solutions in the isolated form of the equation?

• It is less accurate

• It requires more steps

• It provides a different solution

• It is easier and involves less work

What is the result when you plug in the solution x = 1 into the isolated equation?

• The absolute value equals 5

• The absolute value equals 3

• The absolute value equals 0

• The absolute value equals -3