Understanding Custom Operators

The video tutorial introduces two new mathematical operators: circle-x and circle-plus. Circle-x is defined as x plus 3 times y, while circle-plus is defined as 4x squared minus y squared. The tutorial walks through solving a problem using these operators, specifically evaluating 3 circle-x -1 and simplifying negative 2 circle-plus 0. The step-by-step process demonstrates how to apply the definitions of these operators to solve the given expression, ultimately arriving at the final result of 16.

What is the definition of the circle-x operator?

• x plus y

• 3x plus y

• x minus y

• x plus 3y

What is the definition of the circle-plus operator?

• x squared plus 4y squared

• x squared minus 4y squared

• 4x squared minus y squared

• 4x squared plus y squared

What is the expression to solve in the problem?

• Negative 2 circle-x the quantity three circle-plus minus 1

• Negative 2 circle-plus the quantity three circle-x minus 1

• Negative 2 circle-plus 3

• Negative 2 circle-x 3

How do you evaluate 3 circle-x negative 1?

• 3 plus 3 times negative 1

• 3 plus 3 times 1

• 3 minus 3 times 1

• 3 minus 3 times negative 1

What does 3 circle-x negative 1 simplify to?

• 6

• 3

• -3

• 0

What is the next step after simplifying to negative 2 circle-plus 0?

• Re-evaluate the expression

• Add 2 to the result

• Use the circle-x definition

• Use the circle-plus definition

What is the value of x in the expression negative 2 circle-plus 0?

• 0

• 4

• -2

• 2

What is the value of y in the expression negative 2 circle-plus 0?

• 4

• 0

• -2

• 2

What is the final result of the expression negative 2 circle-plus 0?

• 20

• 8

• 12

• 16