Distance Formula & Simplifying Radical Review

Front

What is the Distance Formula?

Back

The Distance Formula is used to determine the distance between two points in a coordinate plane. It is given by the formula: d = √((x2 - x1)² + (y2 - y1)²).

Tags

CCSS.HSG.GPE.B.7

Front

How do you simplify the square root of 25?

Back

The square root of 25 is simplified to 5, since 5 x 5 = 25.

Front

What is the distance between the points (2,9) and (1,5)?

Back

4.12

Tags

CCSS.HSG.GPE.B.7

Front

What is the distance between the points (-5, -8) and (-1, -16)?

Back

8.9

Tags

CCSS.HSG.GPE.B.7

Front

If a person walks 6 blocks North and 8 blocks West, how do you find the distance from the starting point?

Back

Use the Pythagorean theorem: distance = √(6² + 8²) = 10 blocks.

Tags

CCSS.8.G.B.8

Front

What is the distance between the points (3, 24) and (7, 56)?

Back

32.2

Tags

CCSS.HSG.GPE.B.7

Front

What is the distance between the points (4, 3) and (0, 6)?

Back

5

Tags

CCSS.HSG.GPE.B.7

Front

What does it mean to simplify a radical expression?

Back

To simplify a radical expression means to rewrite it in its simplest form, removing any perfect square factors.

Front

What is the first step in using the Distance Formula?

Back

Identify the coordinates of the two points (x1, y1) and (x2, y2).

Tags

CCSS.6.G.A.3

Front

How do you calculate the distance between two points (x1, y1) and (x2, y2)?

Back

Substitute the coordinates into the Distance Formula: d = √((x2 - x1)² + (y2 - y1)²).

Tags

CCSS.HSG.GPE.B.7