Identify hypotheses and conclusions - High school Algebra I Exercises

In the following statements, determine which part is the hypothesis and which is the conclusion.

"If it is raining, then the soil is wet."

"It is raining" is the conclusion, "the soil is wet" is the hypothesis.

"It is raining" is the hypothesis, "the soil is wet" is the conclusion.

We know that:

A hypothesis is a supposition.
A conclusion is a judgment reached by reasoning.

Here, we have the following:

The "if" statement is a supposition, hence it is the hypothesis. Therefore "it is raining" is the hypothesis.
The "then" statement is the conclusion reached by reasoning. Therefore, "the soil is wet" is the conclusion.

"It is raining" is the hypothesis, "the soil is wet" is the conclusion.

"If a hurricane hits land, then there will be flooding."

"There will be flooding" is the hypothesis, "a hurricane hits land" is the conclusion.

"A hurricane hits land" is the hypothesis, "there will be flooding" is the conclusion.

We know that:

A hypothesis is a supposition.
A conclusion is a judgment reached by reasoning.

Here, we have the following:

The "if" statement is a supposition, hence it is the hypothesis. Therefore "a hurricane hits land" is the hypothesis.
The "then" statement is the conclusion reached by reasoning. Therefore, "there will be flooding" is the conclusion.

"A hurricane hits land" is the hypothesis, "there will be flooding" is the conclusion.

"If there is lightening, then thunder will follow."

"Thunder will follow" is the hypothesis, "there is lightening" is the conclusion.

"There is lightening" is the hypothesis, "thunder will follow" is the conclusion.

We know that:

A hypothesis is a supposition.
A conclusion is a judgment reached by reasoning.

Here, we have the following:

The "if" statement is a supposition, hence it is the hypothesis. Therefore "there is lightening" is the hypothesis.
The "then" statement is the conclusion reached by reasoning. Therefore, "thunder will follow" is the conclusion.

"There is lightening" is the hypothesis, "thunder will follow" is the conclusion.

"If a number is divisible by 3, then the sum of its digits is divisible by 3."

"A number is divisible by 3" is the hypothesis, "the sum of its digits is divisible by 3" is the conclusion.

"The sum of its digits is divisible by 3" is the hypothesis, "a number is divisible by 3" is the conclusion.

We know that:

A hypothesis is a supposition.
A conclusion is a judgment reached by reasoning.

Here, we have the following:

The "if" statement is a supposition, hence it is the hypothesis. Therefore, "a number is divisible by 3" is the hypothesis.
The "then" statement is the conclusion reached by reasoning. Therefore, "the sum of its digits is divisible by 3" is the conclusion.

"A number is divisible by 3" is the hypothesis, "the sum of its digits is divisible by 3" is the conclusion.

"If a number is divisible by 2 and 3, then it is divisible by 6."

"It is divisible by 6" is the hypothesis, "a number is divisible by 2 and 3"is the conclusion.

"A number is divisible by 2 and 3" is the hypothesis, "it is divisible by 6" is the conclusion.

We know that:

A hypothesis is a supposition.
A conclusion is a judgment reached by reasoning.

Here, we have the following:

The "if" statement is a supposition, hence it is the hypothesis. Therefore, "a number is divisible by 2 and 3" is the hypothesis.
The "then" statement is the conclusion reached by reasoning. Therefore, "it is divisible by 6" is the conclusion.

"A number is divisible by 2 and 3" is the hypothesis, "it is divisible by 6" is the conclusion.

"If a number is composite, then it is divisible by a prime number."

"A number is composite" is the hypothesis, "it is divisible by a prime number" is the conclusion.

"it is divisible by a prime number" is the hypothesis, "a number is composite" is the conclusion.

We know that:

A hypothesis is a supposition.
A conclusion is a judgment reached by reasoning.

Here, we have the following:

The "if" statement is a supposition, hence it is the hypothesis. Therefore, "a number is composite" is the hypothesis.
The "then" statement is the conclusion reached by reasoning. Therefore, "it is divisible by a prime number" is the conclusion.

"A number is composite" is the hypothesis, "it is divisible by a prime number" is the conclusion.