Understanding Absolute Value Expressions

The video tutorial explains how to solve absolute value equations and determine possible values for variables. It begins by discussing the properties of absolute values, emphasizing that they cannot be negative. The tutorial then demonstrates solving equations to find specific values of c that satisfy given conditions. Finally, it explores calculating possible values of y-x using different combinations of x and y, highlighting the correct answer among multiple possibilities.

What is the lowest possible value of an absolute value expression?

• -1

• 0

• 1

• 3

Why can we eliminate answer choice A in the given problem?

• Because it results in a non-integer

• Because it results in a negative absolute value

• Because it results in a positive absolute value

• Because it results in zero

What is the correct approach to solve the absolute value equation in the problem?

• Set the expression equal to zero

• Set the expression equal to a single positive value

• Set the expression equal to a positive and a negative value

• Set the expression equal to a single negative value

What are the possible values of c that satisfy the equation?

• 0 and 8

• 3 and -3

• 6 and -10

• -6 and 10

What is the new problem introduced in the second part of the video?

• Finding the value of x + y

• Finding the value of y + x

• Finding the value of y - x

• Finding the value of x - y

What are the possible values of x from the first equation?

• 7 and -7

• 5 and -9

• 2 and -2

• 3 and -3

What are the possible values of y from the second equation?

• 7 and -1

• 5 and -5

• 3 and -3

• 2 and -2

What is one possible value of y - x when y is 7 and x is 5?

• 8

• 16

• 12

• 2

What is the value of y - x when y is -1 and x is -9?

• 6

• 10

• 4

• 8

Which of the following is a listed possible value of y - x?

• 10

• 8

• 16

• 2