Understanding Multi-step Absolute Value Equations

In this video, Mr. J explains how to solve a multistep absolute value equation. The process involves isolating the absolute value, solving the resulting equations, and verifying the solutions. The video provides a step-by-step guide, starting with isolating the absolute value by undoing addition and multiplication, then solving the equations for both positive and negative scenarios. Finally, the solutions are checked by substituting them back into the original equation. The video concludes with a summary and directs viewers to additional resources for further learning.

What is the first step in solving a multi-step absolute value equation?

• Add a constant to both sides

• Multiply both sides by a constant

• Isolate the absolute value

• Square both sides

What operation should be used to undo addition when isolating the absolute value?

• Subtraction

• Division

• Multiplication

• Exponentiation

After isolating the absolute value, what are the possible values it can equal?

• Only negative values

• Both positive and negative values

• Only positive values

• Zero

How do you solve the equation 3x - 15 = 9?

• Subtract 15 from both sides

• Add 15 to both sides

• Divide both sides by 3

• Multiply both sides by 3

What is the solution for x in the equation 3x = 24?

• x = 4

• x = 12

• x = 6

• x = 8

What is the result of dividing both sides of 3x = 6 by 3?

• x = 0

• x = 1

• x = 2

• x = 3

Why is it important to check the solutions in the original equation?

• To find new solutions

• To eliminate extraneous solutions

• To ensure the solutions are correct

• To simplify the equation further

What is the absolute value of -9?

• 9

• -9

• 0

• 18

What is the result of 5 * 9 + 4?

• 45

• 49

• 54

• 50

What should you do if you want to learn more about absolute value equations?

• Read unrelated materials

• Practice different subjects

• Ignore the topic

• Watch more videos