Solving Absolute Value Equations

The video tutorial covers solving absolute value equations, starting with a review of absolute value as a measure of distance from zero. It explains that absolute value equations typically have two solutions, except when the absolute value equals zero. The tutorial includes several examples, demonstrating how to solve these equations and check solutions. It also addresses cases where no solution exists due to negative absolute values.

What is the absolute value of -2?

• 0

• 2

• 4

• -2

Why is the absolute value always positive?

• Because it measures distance from zero

• Because it measures height

• Because it measures weight

• Because it measures time

If the absolute value of x is 3, what are the possible values of x?

• 3 and -3

• 3 and 0

• 3 and 1

• 3 and -1

How many solutions does the equation |x - 1| = 4 have?

• None

• Three

• Two

• One

What is the first step in solving the equation |x - 1| = 4?

• Multiply both sides by 4

• Set x - 1 equal to 4 and -4

• Subtract 1 from both sides

• Add 1 to both sides

In the equation |x - 1| = 4, what are the solutions for x?

• 5 and -3

• 2 and -2

• 4 and -4

• 3 and -3

What is the correct value of w in the equation |-4w + 2| = 14?

• -3 and -4

• 3 and 4

• 3 and -4

• -3 and 4

What is the reciprocal of 2/3?

• 3/1

• 2/3

• 3/2

• 1/2

What is the solution to the equation |2x - 1| = -1?

• No solution

• x = 0

• x = -1

• x = 1

Why can't the absolute value of a number be negative?

• Because time cannot be negative

• Because weight cannot be negative

• Because height cannot be negative

• Because distance cannot be negative