Chapter 9 Review (Roots and Pythagorean)

Distance

100

What is the distance between (-3,5) and (-11,5) in the coordinate plane?

8

200

To find the distance between two points in the coordinate plane, you need to make a ____________________________.

right triangle

300

What is the distance between (-3,7) and (2,2) to the nearest tenth?

7.1

400

What is the distance between (-6, -7) and (10,0) to the nearest hundredth?

17.46

500

What is the distance between (-13, 27) and (42, -128) to the nearest thousandth?

164.469

Square and Cube Roots

100

What is the square root of 9?

3

200

Solve for x (2 solutions)

x² = 49

7 and -7

300

What is the square root of 87 to the nearest tenth?

9.3

400

Solve for a. (2 solutions)

2a² + 17 = 217

10 and - 10

500

Solve for x.

6x³ + 32 = 29,510

17

Pythagorean Theorem

100

What is the Pythagorean Theorem Formula?

a² + b² = c²

200

A right triangle has the two shorter sides as 8 and 20.  What is the length of the longest side to the nearest tenth?

21.5

300

A right triangle has the longest side as 37 and another side as 16.  What is the length of the unknown side to the nearest tenth?

33.4

400

Would these sides make a right triangle?

12, 15, 17

No

500

Would these three sides make a right triangle?

20, 30, 50

Yes (Just kidding it's actually no)

Rational or Irrational?

100

sqrt(25) is ___________________.

rational

200

sqrt(50) is _______________.

irrational

300

The number pi is ________________.

irrational

400

Irrational numbers ___________________________________________.

do not end, show no repeating pattern, cannot be written as a fraction, square root of non-perfect squares, etc.

500

Rational numbers ___________________________________________.

can be written as fractions, terminating decimals, repeating decimals, predictable pattern decimals