2.02 Quiz: Reasoning 1

Given that x is a number that is not negative, Kelvin conjectured that x² > x + 1. Which value is a counterexample to Kelvin's conjecture?

0.

Given that x is a positive number, Niram conjectured that x³ > x² . What value is a counterexample to Niram's conjecture?

1.

Given that x is a number greater than 0, Molly conjectured that x³ > 3x + 3 . Which value is a counterexample to Molly's conjecture?

2.

After observing this pattern, Felipe made a conjecture for the next number in the pattern. 8, 12, 16, 20, 24, ... Which number was most likely his conjecture for the next number?

28.

After observing this pattern, Ajou made a conjecture for the next number in the pattern. 128, 64, 32, 16, 8, ... Which number was most likely his conjecture for the next number?

4.

After observing this pattern, Amira made a conjecture for the next number in the pattern. 4, 12, 36, 108, 324, ... Which number was most likely her conjecture for the next number?

972.

Which answers are examples of inductive reasoning? Select each correct answer.

John saw wild turkeys in his yard during the past 3 years. He will see wild turkeys in his yard next year. Mrs. Smith notices that the first 10 students who enter her class are female. Therefore, she expects that all the students in her class will be female.

Which answers are examples of inductive reasoning? Select each correct answer.

John's coworkers notice that John always orders pizza for lunch on Friday. Today is Friday. John's coworkers expect that he will order pizza for lunch today. Last year, it rained every day in April. Next month is April. It will rain every day next month.

Which answers are examples of inductive reasoning? Select each correct answer.

The water temperature at the beach was 75°F every day for the past 2 weeks. The water temperature at the beach will be 75°F today. Jake saw that all the brown dogs at a pet shelter were small dogs, so he went home thinking that all brown dogs are small dogs.

After observing this pattern, Hideko made a conjecture for the next shape in the pattern. Which shape was most likely her conjecture for the next shape?

https://static.k12.com/nextgen_media/assets/8121297-NG_GMT_B_01_U02_Quiz_NP100_428_B.png

fter observing this pattern, Guido made a conjecture for the next shape in the pattern. Which shape was most likely his conjecture for the next shape?

https://static.k12.com/nextgen_media/assets/8121303-NG_GMT_B_01_U02_Quiz_DP100_428_001_B.png

After observing this pattern, Lexie made a conjecture for the next shape in the pattern. Which shape was most likely her conjecture for the next shape?

https://static.k12.com/nextgen_media/assets/8121308-NG_GMT_B_01_U02_Quiz_DP100_428_002_B.png

Given that ∠A≅∠B , Evelia conjectured that ∠A and ∠B are acute angles. Which statement is a counterexample to Evelia's conjecture?

m∠A=126° and m∠B=126°.

Given that ∠A≅∠B , Gavin conjectured that ∠A and ∠B are complementary angles. Which statement is a counterexample to Gavin 's conjecture?

m∠A=25° and m∠B=25°.

Given that ∠A and ∠B are supplementary, Daisy conjectured that ∠A≅∠B . Which statement is a counterexample to Daisy's conjecture?

m∠A=40° and m∠B=140°.