Pythagorean Theorem, Square Roots, Rational and Irrational Numbers

Why does a square root have two possible answers?

• It doesn't, there is only one answer
• Each number has multiple factors
• The answer can be negative or positive because a negative times a negative equals a positive.
• The mathematicians said so, it must be true.

A square shower needs to be tiled. The space will require 289 square tiles. How many tiles will be along each edge of the shower?

• 144.5 tiles
• 72.25 tiles
• 17 tiles
• 83,521 tiles

Tags

CCSS.6.G.A.4

How long is the hypotenuse on a right triangle where one leg is 8 in and one is 18 in?

• 20.6
• 18.5
• 24.2
• 19.7

Tags

CCSS.8.G.B.7

Your dad wants you to clean out the gutters before the snow hits. The gutters are 15 feet high and your ladder is 20 feet long. How far out from the base of the house do you need to have the ladder?

• 13 feet
• 25 feet
• 35 feet
• 5 feet

Tags

CCSS.8.G.B.8

Your parents decide to fence in a square space for your dog outside. The area they want to fence in is 91 square feet. How much fence do they need?

• 9.5 feet
• 8,281 feet
• 38.2 feet
• 13.5 feet

Tags

CCSS.3.MD.D.8

Do the following three side lengths make a right triangle? 12, 13, 18

• Yes
• No

Tags

CCSS.8.G.B.8

Do the following three side lengths make a right triangle? 12,16, 20

• Yes
• No

Tags

CCSS.8.G.B.8

Find the length of the missing side. 

• 25 cm
• 42 cm
• 52 cm
• 48 cm

Tags

CCSS.8.G.B.7

Which set of sides would make a right triangle?

• 4,5,6
• 8,10,12
• 5,12,13
• 5,10,12

Tags

CCSS.8.G.B.8

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

• 17 miles
• 32 miles
• 37 miles
• 40 miles

Tags

CCSS.8.G.B.8