Absolute Value Equations

The video tutorial explains how to solve absolute value equations by isolating the absolute value on one side of the equation. It emphasizes checking if the number on the other side is positive, as a negative number means no solution. The tutorial provides an example where the absolute value of x equals negative 4 has no solution. It then demonstrates solving an equation by establishing two equations: one with the positive value and one with the negative. The video walks through solving these equations and converting improper fractions to mixed numbers.

What should you do first when solving an absolute value equation?

• Add the absolute value to both sides

• Isolate the absolute value on one side

• Subtract the absolute value from both sides

• Multiply both sides by the absolute value

What does it mean if the number on the other side of the equation is negative after isolating the absolute value?

• The equation needs to be multiplied by -1

• The equation has a unique solution

• The equation has infinite solutions

• The equation has no solution

After isolating the absolute value and ensuring the number on the other side is positive, what is the next step?

• Add the same number to both sides

• Square both sides of the equation

• Establish two separate equations

• Combine like terms

In the example equation |5x + 3| = 13, what is the first step to solve the equation 5x + 3 = 13?

• Divide both sides by 5

• Multiply both sides by 5

• Subtract 3 from both sides

• Add 3 to both sides

How do you convert the improper fraction -16/5 to a mixed number?

• Divide the numerator by the denominator

• Add the numerator to the denominator

• Subtract the denominator from the numerator

• Multiply the numerator by the denominator