Solving Absolute Value Equations

What is the absolute value of -3?

• 0

• -3

• 6

• 3

If the absolute value of x equals 5, what are the possible values of x?

• 5 and -5

• 5 and 10

• 5 and 0

• 0 and -5

What is the first step in solving the equation |2x - 1| + 3 = 6?

• Divide both sides by 2

• Add 3 to both sides

• Multiply both sides by 2

• Subtract 3 from both sides

After isolating the absolute value in the equation |2x - 1| = 3, what should you do next?

• Set 2x - 1 equal to -6

• Set 2x - 1 equal to 0

• Set 2x - 1 equal to 3 and -3

• Set 2x - 1 equal to 6

What are the solutions to the equation |2x - 1| = 3?

• x = 2 and x = -1

• x = 1 and x = -2

• x = 2 and x = -2

• x = 1 and x = -1

What should you do if the absolute value is set equal to a negative number?

• Continue solving as usual

• Set the equation to zero

• State that there is no solution

• Multiply both sides by -1

What symbol is used to indicate no solution?

• A zero

• A circle with a line through it

• An exclamation mark

• A question mark

In the equation |2x + 3| = 3x - 1, what is the first step?

• Set 2x + 3 equal to -3x + 1

• Set 2x + 3 equal to 1

• Set 2x + 3 equal to 0

• Set 2x + 3 equal to 3x - 1

What is an extraneous solution?

• A solution that is always positive

• A solution that is always negative

• A solution that satisfies the original equation

• A solution that does not satisfy the original equation

What are the solutions to the equation |2x + 3| = 3x - 1?

• x = 3 and x = -1

• x = 4 and x = 0

• x = 4 and x = -2/5

• x = 2 and x = -3