Logic

Logic

10th Grade

13 Qs

quiz-placeholder

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Logic

Logic

Assessment

Quiz

Mathematics

10th Grade

Practice Problem

Medium

CCSS
HSS.CP.A.1, 8.G.A.5, 7.G.B.5

+4

Standards-aligned

Created by

Debra Wiseman

Used 11+ times

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13 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

If a represents "Brent works this summer" and b represents "Brent takes a vacation" which symbols best represent the statement "If Brent works this summer then he will not take a vacation."

a → b

a ⋀ b

a → ~ b

a ⋀ ~ b

Tags

CCSS.HSS.CP.A.1

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

If a represents "Brent works this summer" and b represents "Brent takes a vacation" which symbols best represent the statement "Therefore, Brent will not take a vacation."

∴ ~b

∴ ~a

→ ~b

→ ~a

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

If a represents "Brent works this summer" and b represents "Brent takes a vacation" which symbols best represent the statement "Brent will work and take a vacation this summer."

a → b

a ⋀ b

a ⋁ b

a ↔ b

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

If a represents "Two angles are vertical angles" and b represents "The angles are congruent" which symbols best represent the statement "If two angles are not congruent, then the angles are not vertical angles."

a → b

~a → ~b

b → a

~b → ~a

Tags

CCSS.7.G.B.5

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

If a represents "Two angles are vertical angles" and b represents "The angles are congruent" which symbols best represent the statement "Two angles are not vertical angles and the angles are congruent"

a ⋀ b

a ⋁ b

~a ⋁ b

~a ⋀ b

Tags

CCSS.8.G.A.5

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

If a represents "Two angles are vertical angles" and b represents "The angles are congruent" which symbols best represent the statement "Two angles are vertical angles if and only if they angles are congruent." (and yes, this is a false statement)

a ↔ b

a → b

a ∴ b

a ⋀ b

Tags

CCSS.8.G.A.5

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which is a counterexample for the following conditional:
If an electronic device has a screen then it is a television.

television
cell phone
computer mouse
keyboard

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