Exploring Absolute Value Equations

This video tutorial by Mr. Backer covers solving absolute value equations. It begins with an introduction to the concept of absolute value, explaining it as the distance a number is from zero. The tutorial then demonstrates solving basic absolute value equations using a number line, showing both positive and negative solutions. It progresses to more complex equations involving additional operations, providing step-by-step solutions. The video concludes with a summary of the key points covered.

What does absolute value represent?

• The product of a number and zero

• The sum of a number and zero

• The distance a number is from zero

• The direction of a number from zero

What are the two solutions for the equation |x| = 7?

• x = 7 and x = 14

• x = -7 and x = 0

• x = 7 and x = -7

• x = 7 and x = 0

What are the solutions for the equation |x| = 15?

• x = 15 and x = 30

• x = -15 and x = 0

• x = 15 and x = -15

• x = 15 and x = 0

How do you solve the equation |x - 3| = 8?

• x = -11 and x = 5

• x = 11 and x = 5

• x = -11 and x = -5

• x = 11 and x = -5

What is the first step in solving |x - 3| = 8?

• Add 3 to both sides

• Subtract 3 from both sides

• Set up two equations: x - 3 = 8 and x - 3 = -8

• Set up two equations: x + 3 = 8 and x + 3 = -8

What are the solutions for the equation |b - 7| = 9?

• b = 16 and b = -2

• b = -16 and b = -2

• b = 16 and b = 2

• b = -16 and b = 2

What is the solution for the equation |b - 7| = 9 when b - 7 = -9?

• b = -2

• b = 2

• b = 16

• b = -16

What are the solutions for the equation |a + 6| = 12?

• a = -6 and a = -18

• a = 6 and a = 18

• a = -6 and a = 18

• a = 6 and a = -18

How do you solve the equation |2p - 3| = 7?

• p = 5 and p = -2

• p = -5 and p = -2

• p = 5 and p = 2

• p = -5 and p = 2

What is the final step in solving |2p - 3| = 7?

• Add 3 to both sides

• Subtract 3 from both sides

• Divide both sides by 2

• Multiply both sides by 2