Solving Absolute Value Equations Made Easy

What is the absolute value of -8?

• -8

• 8

• 5

• 0

Which of the following statements is true about absolute values?

• Absolute value can be negative

• Absolute value of 0 is 1

• Absolute value always produces a positive result

• Absolute value of a positive number is negative

If the absolute value of x is 7, what are the possible values of x?

• 7 and -7

• 7 and 0

• 0 and -7

• 7 and 1

How do you solve the equation |x + 2| = 9?

• Set x + 2 equal to 9 and -9

• Set x + 2 equal to 0

• Set x equal to 9

• Set x equal to -9

What are the solutions for the equation |2x - 5| = 1?

• x = 3 and x = 2

• x = 3 and x = -3

• x = 2 and x = -2

• x = 1 and x = -1

What is the first step in solving the equation |2x - 5| = 1?

• Subtract 5 from both sides

• Multiply both sides by 2

• Add 5 to both sides

• Divide both sides by 2

Why does the equation |5x - 1| = -2 have no solution?

• Because 5x - 1 cannot be negative

• Because absolute value cannot be negative

• Because 5x - 1 is always positive

• Because x cannot be negative

What is the solution to the equation |5x - 1| = -2?

• x = 0

• x = -1

• No solution

• x = 1

What should you do first when solving the equation |3(x - 1)| = 7?

• Multiply by 3

• Subtract 1

• Add 2

• Divide by 3

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

• x = 4 and x = -4

• x = 4 and x = -2

• x = 4 and x = 2

• x = 4 and x = -2