Reasoning + Algebraic Proof Quiz Review

Reasoning based on specific examples and patterns used to form conjectures is called ______________ reasoning.

• Inductive

• Deductive

You know that an equilateral triangle has three equal sides. You see a triangle that has three equal sides and concludes that it is equilateral.

What reasoning are you using?

• Inductive

• Deductive

All chickens that we have seen have been brown; so, all chickens are brown. 

• Deductive
• Inductive

Reasoning based on facts, definitions, accepted properties, and the laws of logic is called ____________ reasoning.

• Inductive

• Deductive

Where would the next red square be?

• bottom left
• top right
• top left
• bottom right

Tags

CCSS.K.G.A.1

Wyatt is playing in an 8-team baseball tournament this weekend. If every team plays each of the other teams twice, what is the total number of games played?

• 28

• 32

• 56

• 64

Tags

CCSS.7.EE.B.3

CCSS.7.NS.A.2

CCSS.7.NS.A.3

What is reason 2?

• Addition Property of Equality
• Subtraction Property of Equality
• Multiplication Property of Equality
• Division Property of Equality

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Hunter notices that every day his math teacher wears what seems to be a different tie every day. He starts keeping track of what his teacher wears. After one semester, Hunter approaches his teacher and states, "I think you wear a different tie every day, do you have 180 different ties?"

What reasoning is Hunter using?

• Inductive

• Deductive

Tags

CCSS.HSS.IC.A.1

You see a series of numbers, 10, 20, 30, 40,... You conclude the next number is 50.

What reasoning is this?

• Inductive

• Deductive

Tags

CCSS.4.OA.C.5

What is the reason for step 2?

• Substitution property (simplify)

• Multiplication property of equality

• Division property of equality

• Distributive Property

Tags

CCSS.HSA.REI.A.1