Roots, Integers & Pythagorean Theorem

Square Roots

100

Find the square root of -√256

-16

200

Find the square root of √36/81

2/3

300

Evaluate the expression 12 - √16

8

400

Solve the equation. x² = 196

x = 14, -14

500

A trampoline has an area of 49π square feet. What is the diameter of the trampoline?

14 feet

Cube Roots

100

Find the cube root of ∛-64

-4

200

Find the cube root of ∛125/343

5/7

300

Evaluate the expression 4 - ∛-216

10

400

Evaluate the expression 3∛27 - 16

-7

500

The volume of a cube is 729 cubic inches. What is the edge length of the cube?

9 in.

Integers

100

-45 - 37

-82

200

- 23 x 76

-1,748

300

36 + -16 + 9

29

400

(15 - 27) + -23 x -16 

356

500

- 4/6 + 3/9

Write your answer in simplest form. 

-1 / 3

Pythagorean Theorem

100

Find the length of the hypotenuse of a triangle with the leg lengths of 6 cm and 8 cm.

10 cm

200

Find the missing length of a triangle whose hypotenuse measures 13 in. and one leg is 5 in.

12 in.

300

In wood shop, you make a bookend that is the shape of a right triangle. It is 8 in. tall and has a hypotenuse of 10 in. What is the base of the the bookend?

6 in.

400

The square of a hypotenuse of a triangle is 64 meters. What is the hypotenuse?

8 meters

500

Find the missing length of the figure.

12 cm