Adv Geometry Unit 2 Review: Logic and Reasoning

Let p and q represent the following simple statements;

p: Frank plays football.

q: Jamir runs track.

r: Edwin plays soccer.

Write each compound statements in symbolic form.

Edwin plays soccer or Frank does not play football.

Tags

CCSS.HSS.CP.A.1

The type of reasoning where a person makes  conclusions based on observations and patterns is called...

• Inductive reasoning
• Deductive reasoning
• Conjecture
• Experiments

Used to prove that a conjecture is false.

• Counterexample
• Inductive Reasoning
• Concluding statement
• Conjecture

Tags

CCSS.HSG.CO.C.11

Use the law of syllogism to draw a conclusion from the two given statements:
Statement 1: If you exercise regularly, then you have a healthy body
Statement 2: If you have a healthy body, then you have more energy

• You have more energy
• If you exercise regularly, then you have more energy
• You have a healthy body
• If you do not have a healthy body, then you do not exercise regularly

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Determine the next possible 3 terms in list.

4, -5, 8, -10, 12, -15, 16, . . .

• -20, 20, -25

• -20, 24, -25

• -20, 24, 25

• 20, -20, 25

Tags

CCSS.HSF.BF.A.2

To fully disprove a conjecture, one needs to find only ONE counterexample.

• True

• False

Tags

CCSS.L.11-12.4C

CCSS.L.6.4C

CCSS.L.7.4C

CCSS.L.8.4C

CCSS.L.9-10.4C

• The girl wears a red hat and the boy wears a blue coat.

• The girl wears a red hat or the boy wears a blue coat.

• If the girl wears a red hat, then the boy wears a blue coat.

• The boy wears a blue coat if and only if the girl wears a red hat.

Tags

CCSS.7.EE.A.2

CCSS.HSA.SSE.A.2

A concluding statement reached using inductive reasoning is called a _______

• compound statement

• conjecture

• condition

• counterexample

Tags

CCSS.7.SP.A.2

Step 2 is what

• Substitution property (simplify)
• Multiplication property of equality
• Division property of equality
• Distributive Property

Tags

CCSS.HSA.REI.A.1

Which of the following set of values would correctly complete this table?

• T F F F

• T T F F

• T T T F

• F T F T

Tags

CCSS.8.F.A.1