Exploring Adding and Subtracting Rational Expressions

The video tutorial covers the distance and midpoint formulas, explaining how to calculate the distance between two points and find the midpoint of a line segment. It provides step-by-step examples and practice problems, including techniques for finding a missing endpoint using the midpoint formula.

What is the primary reason why the order of points does not matter in the distance formula?

• Because subtraction is commutative

• Because squaring a number always results in a positive value

• Because addition is commutative

• Because the formula uses absolute values

Which of the following is the correct representation of the distance formula?

• √((x2 - x1) + (y2 - y1))

• √((x2 + x1)² + (y2 + y1)²)

• √((x2 - x1)² + (y2 - y1)²)

• √((x2 + x1) + (y2 + y1))

If the points are (-5, 3) and (-2, -3), what is the distance between them?

• √29

• √50

• √45

• √34

What is the approximate value of √45 rounded to the tenths place?

• 6.6

• 6.8

• 6.7

• 6.5

How do you find the midpoint between two points?

• Add the x-values and y-values separately, then divide each sum by 2

• Subtract the x-values and y-values separately, then divide each difference by 2

• Multiply the x-values and y-values separately, then divide each product by 2

• Add the x-values and y-values together, then divide the total sum by 2

What is the midpoint of the points (7, -5) and (9, -1)?

• (8, -4)

• (8, -3)

• (8, -2)

• (7.5, -3)

If the midpoint is (-1, 2) and one endpoint is (3, -5), what is the other endpoint?

• (-4, 8)

• (-5, 9)

• (-4, 7)

• (-5, 8)

What is the first step in solving for a missing endpoint using the midpoint formula?

• Add the known endpoint to the midpoint

• Multiply the midpoint by 2

• Subtract the known endpoint from the midpoint

• Divide the known endpoint by 2

In the equation for finding a missing endpoint, what operation is performed after multiplying both sides by 2?

• Multiplying by the known endpoint

• Dividing by the known endpoint

• Subtracting the known endpoint

• Adding the known endpoint

If the midpoint is (2, 4) and one endpoint is (6, 8), what is the other endpoint?

• (-2, 2)

• (-2, 0)

• (-2, 4)

• (-2, -2)