Exploring Absolute Value Equations in Algebra

What is the initial equation given in the problem?

• 2x + 5 = 11

• 2x - 5 = 11

• |2x - 5| = 11

• |2x + 5| = 11

What does the absolute value of a number represent?

• The distance from zero

• The square of the number

• The negative of the number

• The number itself

If |a| = 11, what are the possible values of a?

• 11 and -1

• 11 and 1

• 11 and 0

• 11 and -11

What are the two equations derived from |2x - 5| = 11?

• 2x + 5 = 11 and 2x - 5 = 11

• 2x - 5 = 11 and 2x - 5 = -11

• 2x + 5 = 11 and 2x + 5 = -11

• 2x - 5 = 11 and 2x + 5 = -11

What is the value of x when solving 2x - 5 = 11?

• x = -8

• x = -3

• x = 8

• x = 3

What is the value of x when solving 2x - 5 = -11?

• x = -8

• x = 8

• x = 3

• x = -3

What is the result of 2 times 8 minus 5?

• 11

• 13

• 3

• 16

What is the absolute value of -11?

• -11

• 1

• 11

• 0

What is the result of 2 times -3 minus 5?

• -11

• -3

• -8

• -6

Which of the following values of x satisfies the equation |2x - 5| = 11?

• x = 3 and x = -8

• x = 8 and x = -3

• x = -5

• x = 5