Rational or Irrational
Roots (Squares & Cubes)
Area & Volume
Equations
Ordering
100

Is 7.22222... rational or irrational?

Rational

100

Evaluate: the square root of 25

positive or negative 5

100

The area of a square is 225 square feet. What is the length of each side?

15 feet

100

x^2=100

x = positive or negative 10

100

Order from least to greatest;

square root of 12, square root of 4, cube root of 27, 10

square root of 4, cube root of 27, square root of 12, 10

200

Is 5.3332233322... rational or irrational?

Rational (it repeats exactly!)

200

Evaluate: the square root of 196

positive or negative 14

200

The volume of a cube is 27 cubic inches. What is the length of each side?

3 inches
200

x^3 = 216 

x = 6

200

Order from least to greatest:

14.2222.., 3.6^2, 14 2/3, 14

2.6^2, 14, 14.2222, 14 2/3 

300

Is 55.0812292.. rational or irrational?

Irrational

300

Evaluate: the cube root of 64

8

300

The volume of a cube is 343 cubic centimeters. What is the length of each side?

7 centimeters

300

x^2 = 196/4

x = positive or negative 7

300

Order from least to greatest:

-5, -6 2/9, - square root of 29

- 6 2/9, - square root of 29, -5

400

Is 1.15151515154... rational or irrational?

Irrational

400

Evaluate to the nearest tenth: the square root of 26

5.1

400

The area of a large square bulletin board is 144 square feet. How many feet of bulletin board boarder will be required to surround the bulletin board?

48 feet

400

x ^ 2 = 64 / 9

x = positive or negative 8/3 

400

Order from least to greatest:

- 15.2, -15.5, - square root of 15

-15.5, -15.2, -square root of 15

500

Is pi divided by pi  or pi/pi rational or irrational? 

Rational

500

Evaluate to the nearest tenth: the square root of 115

10.7 is BEST

500

A square chicken coop has 32 chickens. Each chicken needs 2 square feet of space. 

Find the area needed for all 32 chickens. THEN find the total amount of fencing required to protect the chickens in the coop. 

32 feet of fencing will be required 

500

x ^ 3  = 125 / 8

x = 5/2

500

Order from least to greatest: 

square root of 25, -3, square root of 15, - square root of 3

-3, - square root of 3, square root of 15, square root of 25