FOA Unit 1 Review Exercise

The length of a diagonal of a rectangle is  $\sqrt{200}$    inches. Which statement describes the length of the diagonal?

• The length is between 12 and 13.

• The length is between 13 and 14.

• The length is between 14 and 15.

• The length is between 15 and 16.

Which of the following are not rational numbers? (Choose all that apply.)

• $\sqrt{6}$

• 0.666

• $\frac{16}{9}$

• -30

• $\pi$

Estimate the  $\sqrt{130}$  to the nearest tenth. 

• 2

• 11.4

• 65

• 16,900

Jacobi is painting a square table top with an area of 52 square feet. Which point below best represents the side length of one side of the table top?

• Point A

• Point B

• Point C

• Point D

A square room in Amber's home has an area of 128 square feet. Which is the best estimate of one side length of the room?

• 32 feet, because 128 $\div$ 4 = 32

• 64 feet, because $\sqrt{128}$ = 64

• 11.3 feet, because $\sqrt{128}$ is between 11 and 12

• 10.9 feet, because $\sqrt{128}$ is between 10 and 11

 $\frac{\sqrt{16}}{\ \ \ 7}$  

Identify the number as rational or irrational.

• Rational

• Irrational

Between which two numbers does the square root lie?

 $\sqrt{33}$ 

• 2 and 3

• 3 and 4

• 5 and 6

• 6 and 7

Identify the number as rational or irrational.

 $\sqrt{7}$  

• Rational

• Irrational

Evaluate 4².

How many answers does the  $\sqrt{64}$  have?