Review for 7.1, 7.2, 7.4 Quiz

Square Roots

100

What is the square root of 226 to the nearest hundredth?

15.03

200

What is (13/15)^2?

169/225

300

What is the square root (25/256)?

5/16

400

Evaluate: 2 times (square root of 25) + 3

13

500

Evaluate: 7 - 12 times the square root of (1/9)

3

Cube Roots

100

What is the cube root of -26 to the nearest hundredth?

-2.96

200

If n = 3, find the cube root of (5n) to the nearest tenth.

2.5

300

If the volume of a cube is 1728 cubic inches, what is the side length?  Label!

12 in

400

Evaluate: 14 + (cube root of 1000) - 7^2

-25

500

If the volume of a cube is 3375 cubic centimeters, what is its surface area? Label!

1350 square centimeters

Equations with Roots

100

What is x?  x^2 = 225

x = 15 x = -15

200

What is x?  x^2 + 3 = 12

x = 3 x = -3

300

What is x?  144 = 9x^2

x = 4 x = -4

400

Solve (6x + 7)^3 = 1

x = -1

500

Solve (19x - 2)^3 = 4913

x = 1

Rational or Irrational

100

R or I? Explain why. -15

R, integer

200

R or I? Explain why.  1/5

R, fraction

300

R or I? Explain why.  Square root of 36

R, whole number

400

R or I? Explain why.  Pi

I, decimal doesn't stop and doesn't repeat

500

R or I? Explain why. Square root of (250/9)

I, decimal doesn't repeat and doesn't stop

Extensions of Rat and Irrat

100

Which number is greater?

square root of 220

or

14.75

Square root of 220

200

Which number is smaller?

-Square root of 135

or 

-Square root of 145

-Square root of 145

300

Is 150/7 a good approximation for the square root of 600?

No 21.4 vs 24.5

400

Is 1999/18 a good approximation for the square root of 12,343?

Yes, 111.056 vs 111.099

500

List from least to greatest:

.38, square root of (7/64), 3/8

square root of (7/64), 3/8, .38