Inductive reasoning
Statements and negations
Symbolic Form
Conditionals
Deductive Reasoning
100
The number that comes next in the sequence: -1, 3, 7, 11, 15, 19... (Use inductive reasoning)
What is 23?
100

The truth value of the following statement: Spartan Academy is located in Richmond.

What is true?

100

The symbol that means "not."

What is "~"?

100
The hypothesis of the following conditional: "If you hear the fire alarm, then you should exit the building."
What is "you hear the fire alarm"?
100
According to the Law of Detachment, you can conclude this if you know: A: "If you can dream it, you can do it." and B: "You can dream it."
What is "you can do it"?
200
The number that comes next in the following sequence: -5, 15, -45, 135, ...
What is -405?
200
The negation of the following statement: Complementary angles add up to 90 degrees.
What is "Complementary angles do not add up to 90 degrees"?
200

p -> q in written form.

What is "If p, then q"?

200
The conclusion of the following conditional: If they raise enough money, then the student group will go on a field trip.
What is "the student group will go on a field trip"?
200
According to the Law of Syllogism, you can conclude this, if you know that A: "If it is July or August, then it is summer." and B: "If it is summer, then it will not snow."
What is "If it is July or August, then it will not snow."?
300
The number that comes next in the sequence: 14, 13, 11, 8, 4, -1, -7, ...
What is -14?
300
The truth value of the negation of a true statement.
What is "false"?
300

The symbol that means "therefore."

What is "∴"?

300

If the original statement is true, which of the following must also be true: converse, inverse, or contrapositive?

What is "contrapositive"?

300
The law that says if p -> q and q -> r are both true, then p -> r is true.
What is the Law of Syllogism?
400
The vocabulary word for a guess or prediction made using inductive reasoning.
What is a conjecture?
400
The negation of "Points A, B, and C are collinear".
What is "Points A, B, and C are noncollinear"?
400

If 8x+4=12, then x=1. x=/=1, ∴...

What is "8x+4=/=12"?

400
The inverse of the conditional: If you live in Albany, then you live in New York.
What is "If you do not live in Albany, then you do not live in New York."?
400
The property that justifies the next step you would use in solving the following equation: -3x + 9 = 12
What is the Subtraction Property of Equality?
500
The next item in the sequence: +.-.+ +.-.-.+ +.-.-.-.+
What is +.-.-.-.-.+?
500

The student who is right: Student A: "Statements are always true and negations are always false". Student B: "No, statements can be true or false and negations can be true or false"

Who is Student B?

500

Let p represent Brent works this summer.

Let q represent Brent takes a vacation.

Write ~q -> p in written form.

What is "If Brent does not take a vacation, then Brent works this summer."?

500

The contrapositive of the following statement: "If a polygon is a rectangle, then it is a square."

What is "If a polygon is not a square, then it is not a rectangle."?

500
The property you would use to prove x = 7, with x + 3 - 3 = 10 - 3 given.
What is the Substitution Property?
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