Mastering Absolute Value Equations

This video tutorial teaches how to solve absolute value equations by writing two separate equations. It begins with an introduction to the concept of absolute value, explaining it as the distance from a number to zero on the number line, and highlights that the value is always positive. The tutorial then demonstrates solving absolute value equations using a number line, with a detailed example of solving the equation |2x + 3| = 9. The process involves setting up two equations, one for the positive and one for the negative scenario, and solving them to find the possible values of x. The tutorial concludes with a practical example involving snack pack weights, showing how to apply the concept to real-world problems.

What is the definition of absolute value?

• The sum of a number and zero

• The distance from a number to another number on the number line

• The product of a number and zero

• The distance from a number to zero on the number line

What is always true about the value inside absolute value brackets?

• It is always negative

• It is always positive

• It is always zero

• It can be any real number

How do you solve an absolute value equation?

• By writing four equations

• By writing three equations

• By writing two equations

• By writing one equation

In the equation |2x + 3| = 9, what are the two possible values for 2x + 3?

• 0 and -9

• 9 and 0

• 3 and -3

• 9 and -9

What is the solution for x in the equation 2x + 3 = 9?

• x = -6

• x = -3

• x = 3

• x = 6

What is the solution for x in the equation 2x + 3 = -9?

• x = 6

• x = 3

• x = -3

• x = -6

What is the acceptable weight range for the snack packs if they should weigh 1.69 ounces but can vary by 0.3 ounces?

• 1.39 to 1.99 ounces

• 1.59 to 1.79 ounces

• 1.29 to 2.09 ounces

• 1.49 to 1.89 ounces

What equation represents the acceptable weight range for the snack packs?

• |x - 0.3| = 1.69

• |x + 1.69| = 0.3

• |x + 0.3| = 1.69

• |x - 1.69| = 0.3

What is the greatest acceptable weight for the snack packs?

• 1.59 ounces

• 1.39 ounces

• 1.79 ounces

• 1.99 ounces

What is the least acceptable weight for the snack packs?

• 1.79 ounces

• 1.99 ounces

• 1.59 ounces

• 1.39 ounces