Deductive Decisions
Choose the Card
Proof Properties
State the Statement
Trivial Trivia
100

Jasmine's parents only let her play video games if she finishes her homework. Jasmine finished her homework.

Her parents will let her play video games

100

2 cards were drawn. One had a heart. One was a Queen of Spades. The red card was a face card lower than the black card.

What was the red card?

Jack of Hearts

100

x+2 = 4 | given

x = 2     |  ?

Subtraction Property of Equality

100

x/2 + 7 = 17 | given

?                  | Subtraction Property of Equality

x = 20          | Multiplication Property of Equality

x/2 = 10

100

What is the common name for the smallest unit of matter that retains an element's properties?

An Atom

200

Emily is planning a trip to the grocery store. If it's sunny, Emily will go. It rained. What will Emily do?

Not go to the grocery store

200

A red card with number less than 3 was drawn. What cards are possible options?

3 of hearts OR 3 of diamonds

200

2x + 3 = 9 | given

2x = 6       | Subtraction POE

x = 3         | ?

Division property of equality

200

3x - 4 = 8 | given

?               | Addition Property of Equality

x = 4        | Division Property of Equality

3x = 12

200

This famous document, ratified in 1791, contains the first ten amendments to the U.S. Constitution. 

Bill of Rights

300

A club has two rules: 1) If a member misses three meetings, they are ineligible for a leadership position. 2) If a member is ineligible for a leadership position, they cannot vote in the election. Diego missed his third meeting this week.

Diego cannot vote in the election

300

1 red card is drawn. If it's a heart, it's a face card. If it's a spade, it's a number card. The card is a prime number. 25 is divisible by this number. What card was drawn?

5 of Diamonds

300

Prove A = A

A = A   | ?

Reflexive Property of Equality

300

2x + y = 18 | given

x = y           | given

?                 | Substitution Property of Equality

3y = 18       | Combine Like Terms

2y + y = 18

300

What chemical element has the symbol Pb

Lead

400

The school policy states that if a student's car is parked in a staff parking spot it will get towed. The principal parked in a non-staff parking spot. What will happen to the car?

It will not necessarily get towed

400

2 clubs are drawn. They are both numbers, the first one larger than the second. Their totals add up to 15. What 2 cards were drawn?

7 of clubs and 8 of clubs

400

50 = 15x + 5 | given

45 = 15x       | Subtraction POE

15x = 45       | ?

x = 3            | Division POE

Symmetric Property of Equality

400

4 + 4 = x  | given

?              | Symmetric Property of Equality

x = 8        | Combine like terms

x = 4 + 4
400

In Greek mythology, who killed the minotaur?

Theseus

500

An art inspector is looking for a famous Da Vinci piece painted between 1450 and 1500. They discover a painting painted in 1497. Is this the famous Da Vinci painting?

Not necessarily

500

4 cards of different suits were drawn. Each is a different number and their total adds up to 14. The lowest card is a diamond. The highest card is a club. The heart is higher than the spade. What 4 cards were drawn?

2 of diamond

3 of spade

4 of heart

5 of club

500

a + b = c       | given

a = 4, b = 6   | given

4 + 6 = c       | ?

10 = c           | Combine Like Terms

Substitution Property of Equality

500

x + 2 = y and y = 10 | given

?                              | Transitive Property of Equality

x = 8                        | Subtraction POE

x + 2 = 10

500

What item, once a day, has the power to fend off doctors?

An Apple