Solving Absolute Value Equations with Two Equations

The video tutorial explains how to solve absolute value equations by writing two separate equations. It begins with an introduction to the concept of absolute value as the distance from zero on a number line. The tutorial then demonstrates solving an equation with absolute value by considering both positive and negative solutions. A practical example involving M&M snack packs is used to illustrate the application of absolute value equations in real-world scenarios. By the end, viewers will understand how to solve these equations and apply them to practical problems.

What is the primary characteristic of an absolute value?

• It is always greater than 10.

• It represents the distance from zero.

• It is always negative.

• It can only be a whole number.

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

• x = 6 and x = -3

• x = 3 and x = -6

• x = 9 and x = -9

• x = 0 and x = 9

In the context of absolute value equations, what does setting up two equations help determine?

• The minimum value of x

• The maximum value of x

• The average value of x

• The possible values of x on both sides of zero

For the M&M snack pack problem, what is the greatest acceptable weight?

• 2.29 ounces

• 1.39 ounces

• 1.69 ounces

• 1.99 ounces

How do you solve the equation |x - 1.69| = 0.3 for the least acceptable weight?

• Subtract 0.3 from 1.69

• Add 0.3 to 1.69

• Subtract 1.69 from 0.3

• Add 1.69 to -0.3