8th grade: 1st semester exam review

Help Hagen, Kade, and Caleb determine if the following set of numbers are Pythagorean Triples.

18, 75, 73

• Yes

• No

Find the length of the missing side. 

• 17 cm
• 22 cm
• 15 cm
• 13 cm

Please help Mattie and Anna Beth simplify:

√24

• 2√6

• 4√6

• 2√12

• 3√8

Keylon loves to solve these kind of problems. Please help him find the right answer Simplify:

√96a²b²

• 4ab√6

• 3ab√6

• 6ab√5

• 6ab√8

Bob and Rob siblings They go to different schools (one an elementary school and one a high school) . Bob walks 6 blocks east from home. Rob walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?

• 14

• 10

• 5.3

• 2

A rectangular field is 50 yards wide and 100 yards long. Charlie and Luke walk diagonally across the field. How far do they each walk if they walk across the field diagonally and then back again ?

• 111.8 yards

• 223.6 yards

• 127.3 yards

• 200 yards

Haley and Emma are trying to study for their test, but are stuck on this question. Can you please help them?

36 and 48 are the two smaller numbers in a Pythagorean Triple, what is the third number?

• 45

• 50

• 55

• 60

What is the distance between the two points?

(Use the pythagorean theorem to solve)

• 12.64 units

• 16.52 units

• 12 units

• 16 units

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

• 25 feet
• 26 feet
• 27 feet
• 28 feet

Tags

CCSS.8.G.B.8

Using the Pythagorean inequality theorem, state if the triangle is acute, obtuse, or right.

• acute

• obtuse

• right