Solving Absolute Value Equations

The video tutorial explains how to solve absolute value equations by first isolating the absolute value, then setting up two separate equations based on the absolute value principle. The tutorial demonstrates solving these equations and checking the solutions to ensure they are correct.

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

• Check the solutions

• Add 5 to both sides

• Multiply both sides by 2

• Isolate the absolute value

How do you isolate the absolute value of 5x + 3?

• Subtract 5 and divide by -2

• Multiply by 5

• Add 5 and multiply by 2

• Add 3 to both sides

Why do we need two equations to solve an absolute value equation?

• To simplify the equation

• Because absolute values can be negative

• Because absolute values can be positive or negative

• To check for errors

What are the two equations derived from |5x + 3| = 9?

• 5x + 3 = 9 and 5x + 3 = 0

• 5x + 3 = 9 and 5x + 3 = 3

• 5x + 3 = 9 and 5x + 3 = -9

• 5x + 3 = 0 and 5x + 3 = -9

What is the absolute value of -9?

• 9

• 18

• -9

• 0

What is the solution for the equation 5x + 3 = 9?

• x = 6/5

• x = 9/5

• x = 3/5

• x = 12/5

What is the solution for the equation 5x + 3 = -9?

• x = -12/5

• x = -3/5

• x = -9/5

• x = -6/5

What operation is performed after subtracting 3 from both sides in the equation 5x + 3 = 9?

• Multiply by 5

• Divide by 5

• Add 5

• Subtract 5

What should you do after finding the solutions to the equations?

• Multiply them by 2

• Check if they satisfy the original equation

• Add them together

• Ignore them

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

• Add the solutions

• Check the solutions

• Multiply the solutions

• Subtract the solutions