Exploring Absolute Value Equations

What is the absolute value of -2?

• 2

• 0

• -2

• 4

Which of the following represents the absolute value of a number?

• A pair of curly braces

• A pair of parentheses

• A pair of square brackets

• A pair of vertical bars

How many solutions can an absolute value equation have?

• All of the above

• None

• Two

• One

What are the solutions to the equation |x| = 6?

• 6 and 3

• 6 and 0

• 6 and -6

• 0 and -6

What is the solution set for the equation |x| = 0?

• No solution

• 1

• -1

• 0

Why does the equation |x + 3| = -5 have no solution?

• Because x cannot be zero

• Because absolute value cannot be negative

• Because x cannot be positive

• Because x cannot be negative

What is the first step in solving the equation 5|x| = 20?

• Divide both sides by 5

• Subtract 5 from both sides

• Multiply both sides by 5

• Add 5 to both sides

What are the solutions to the equation |x| = 4?

• 4 and -4

• 4 and 0

• 0 and -4

• 4 and 2

What should you do first when solving the equation 4|x - 2| = 80?

• Multiply both sides by 4

• Add 4 to both sides

• Subtract 4 from both sides

• Divide both sides by 4

What are the solutions to the equation |x - 2| = 20?

• 22 and -18

• 18 and -18

• 22 and 18

• 20 and -20