Understanding Basic Algebra Concepts

The video tutorial explains how to label points using subscripts and introduces the distance formula for calculating the distance between two points. It provides an example of plugging values into expressions and demonstrates the calculation of distance using the formula, emphasizing the importance of following the order of operations.

Why do we use subscripts like x1, y1, x2, y2 when labeling points?

• To assign numeric values to the points

• To distinguish between different points

• To make the points look more complex

• To confuse the students

What is the distance formula for finding the distance between two points?

• sqrt((x2 + x1)^2 + (y2 + y1)^2)

• sqrt((x2 - x1)^2 + (y2 - y1)^2)

• x2 - x1 + y2 - y1

• x2 + x1 + y2 + y1

If given an expression 5a + b, and a = 1, b = 3, what should you do?

• Multiply 1 and 3

• Add 1 and 3

• Subtract 1 from 3

• Plug in 1 for a and 3 for b

In the function f(x) = x + 5, what is f(-1)?

• 6

• 3

• 4

• 5

What is the first step in applying the distance formula to two points?

• Square the differences

• Subtract the coordinates

• Multiply the coordinates

• Add the coordinates

What is the result of negative 5 minus negative 4?

• -9

• 1

• -1

• 9

What is the square of negative 1?

• 1

• 0

• 2

• -1

What is the result of 3 minus 9?

• -12

• 12

• -6

• 6

What is the square of negative 6?

• 36

• -36

• 6

• -6

What is the final answer for the distance between the points (-5, 3) and (-4, 9)?

• Square root of 37

• Square root of 16

• Square root of 25

• Square root of 49