Riddles of Fruit Prices and Algebra

The video tutorial presents a scenario where Arbegla, the king's advisor, challenges the protagonist and a bird to solve the Riddle of the Fruit Prices. The task involves determining the cost of apples and bananas per pound using algebraic equations. However, upon solving, it is discovered that the equations are inconsistent, leading to a realization that the information provided was incorrect. The tutorial concludes with a graphical analysis that confirms the inconsistency, highlighting the importance of accurate data in problem-solving.

What challenge does Arbegla present to the protagonist and the bird?

• To build a new castle for the king

• To defeat the dragon in the mountains

• To find the lost treasure of the kingdom

• To solve the Riddle of the Fruit Prices

Tags

CCSS.8.EE.C.8C

What variables are defined to represent the cost of apples and bananas?

• x for apples and y for bananas

• m for apples and n for bananas

• p for apples and q for bananas

• a for apples and b for bananas

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What method does the protagonist initially use to solve the equations?

• Elimination

• Graphing

• Substitution

• Trial and error

Tags

CCSS.8.EE.C.7A

What unexpected result does the protagonist encounter when solving the equations?

• The equations have infinite solutions

• The statement 0 = 6

• The cost of bananas is zero

• The cost of apples is negative

Tags

CCSS.8.EE.C.8C

What does the bird suggest to better understand the problem?

• To ask the king for help

• To buy more fruit

• To graph the equations

• To consult a mathematician

Tags

CCSS.8.EE.C.8B

What do the graphs of the equations reveal?

• The lines intersect at one point

• The lines are parallel and do not intersect

• The lines overlap completely

• The lines form a triangle

Tags

CCSS.RL.11-12.3

CCSS.RL.6.6

CCSS.RL.7.6

CCSS.RL.8.6

CCSS.RL.9-10.3

What conclusion does the protagonist reach about Arbegla's information?

• It is accurate and reliable

• It is inconsistent and possibly incorrect

• It is a trick to test their intelligence

• It is a clue to a hidden treasure

Tags

CCSS.RI.7.1

CCSS.RI.8.1

CCSS.RI.9-10.1

CCSS.RL.8.1

CCSS.RL.9-10.1

What might have caused the inconsistency in the fruit prices?

• A theft at the market

• A magical spell on the fruit

• A mistake in the king's calculations

• A change in market prices

Tags

CCSS.RL.11-12.3

CCSS.RL.6.6

CCSS.RL.7.6

CCSS.RL.8.6

CCSS.RL.9-10.3

What does the protagonist accuse Arbegla of doing?

• Lying about the fruit prices

• Stealing from the market

• Providing inconsistent information

• Hiding the true cost of apples

Tags

CCSS.RL.11-12.3

CCSS.RL.6.3

CCSS.RL.7.6

CCSS.RL.8.6

CCSS.RL.9-10.3

What does the bird's final comment suggest about the protagonist?

• They are quite skilled at algebra

• They need more practice with equations

• They are not good at algebra

• They should give up on solving riddles

Tags

CCSS.RL.11-12.3

CCSS.RL.6.3

CCSS.RL.7.6

CCSS.RL.8.6

CCSS.RL.9-10.3