This video tutorial covers the application of the Pythagorean theorem in various contexts, including triangles, rectangles, and coordinate planes. It also explores solving equations involving exponents and radicals. The tutorial is interactive, allowing students to pause and solve problems before reviewing the solutions. The video is designed for both educators using Edulastic and students seeking to review mathematical concepts.

What is the primary purpose of Edulastic as mentioned in the video?

• To create social media content

• To help educators assign assessments to students

• To provide a platform for online shopping

• To offer video streaming services

In a right triangle, if one leg is 6 and the hypotenuse is 10, what is the length of the other leg?

• 8

• 7

• 10

• 9

What is the length of the diagonal of a rectangle with sides 15 and 20?

• 20

• 35

• 30

• 25

How do you calculate the length of a diagonal in a coordinate plane using the Pythagorean theorem?

• Multiply the lengths of the sides

• Add the lengths of the sides

• Subtract the lengths of the sides

• Use the formula a^2 + b^2 = c^2

If each unit on a map represents 1 mile, what is the distance between two cities that are 6 and 8 units apart?

• 12 miles

• 10 miles

• 8 miles

• 6 miles

What is the value of 3 raised to the power of 4?

• 27

• 64

• 81

• 100

If x^3 = 125, what is the value of x?

• 3

• 6

• 4

• 5

What is the square root of 64?

• 6

• 7

• 8

• 9

If the cube root of 512 is 8, what is the value of the exponent in the equation 8^y = 512?

• 3

• 4

• 2

• 5

What is the result of 5 cubed?

• 150

• 125

• 120

• 100