Distance Formula and Operations Review

The video tutorial explains how to calculate the distance between two points using the distance formula. It covers the importance of correctly identifying coordinates, handling negative numbers, and following the order of operations (PEMDAS). The tutorial provides a step-by-step example, emphasizing the need to square differences and add them before taking the square root. Key points include careful handling of negative numbers and understanding the sequence of operations.

What is the correct notation for writing coordinates of a point?

• (1x, 1y) and (2x, 2y)

• (a, b) and (b, a)

• (x, y) and (y, x)

• (x1, y1) and (x2, y2)

What is the last operation performed in the distance formula?

• Addition

• Square root

• Subtraction

• Multiplication

In the distance formula, what do you do after finding the difference of the x-values?

• Square them

• Multiply them

• Divide them

• Add them

When substituting coordinates, what is the first step?

• Replace letters with numbers

• Add the coordinates

• Divide the coordinates

• Multiply the coordinates

What is the result of negative three plus two?

• Negative five

• Negative one

• Five

• One

What should you remember when squaring a negative number?

• It stays the same

• It becomes positive

• It becomes more negative

• It becomes zero

What is the sum of 1 and 121 in the context of the distance formula?

• 121

• 120

• 123

• 122

What is the approximate length of segment AB?

• 11 units

• 12 units

• 10 units

• 13 units

What is the correct order of operations in the distance formula?

• Exponents, parentheses, addition, subtraction

• Parentheses, exponents, multiplication, division, addition, subtraction

• Multiplication, division, addition, subtraction

• Addition, subtraction, multiplication, division

What should you be careful about when working with negative numbers?

• They can change the sign of the result

• They always result in zero

• They do not affect the result

• They are always positive