Understanding Absolute Value Equations

In this video, Mr. J introduces solving absolute value equations through three examples. He begins with a review of absolute value, explaining it as the distance from zero. The first example solves |x| = 3, demonstrating two solutions: x = 3 and x = -3. The second example addresses |m + 5| = 9, resulting in m = 4 and m = -14. The final example solves |4x - 8| = 24, yielding x = 8 and x = -4. Mr. J emphasizes checking solutions by substitution and previews more complex equations in future videos.

What is the absolute value of -5?

• 0

• -5

• 10

• 5

If the absolute value of x is 3, what are the possible values of x?

• 0 and -3

• Only 3

• 3 and 0

• 3 and -3

What is the first step in solving the equation |m + 5| = 9?

• Add 5 to both sides

• Subtract 5 from both sides

• Set m + 5 equal to 9 and -9

• Multiply both sides by 5

In the equation |m + 5| = 9, what is the value of m when m + 5 = 9?

• 4

• -9

• 9

• -4

In the equation |m + 5| = 9, what is the value of m when m + 5 = -9?

• -4

• 14

• -14

• 4

What is the first step in solving the equation |4x - 8| = 24?

• Add 8 to both sides

• Subtract 8 from both sides

• Divide both sides by 4

• Multiply both sides by 4

In the equation |4x - 8| = 24, what is the value of x when 4x - 8 = 24?

• -16

• 16

• 8

• -8

In the equation |4x - 8| = 24, what is the value of x when 4x - 8 = -24?

• -8

• 4

• -4

• 8

What is the absolute value of 4 * 8 - 8?

• 24

• 40

• 16

• 32

What is the next step after learning to solve absolute value equations?

• Study absolute value equations with operations outside the absolute value

• Review basic arithmetic

• Move on to calculus

• Learn about quadratic equations