Conditional Statements and Proof Writing

Front

What is a conditional statement?

Back

A statement that can be written in the form 'If P, then Q', where P is the hypothesis and Q is the conclusion.

Front

What is the converse of a conditional statement?

Back

The converse of 'If P, then Q' is 'If Q, then P'.

Front

What is the inverse of a conditional statement?

Back

The inverse of 'If P, then Q' is 'If not P, then not Q'.

Front

What is the contrapositive of a conditional statement?

Back

The contrapositive of 'If P, then Q' is 'If not Q, then not P'.

Front

How do you solve the equation 3x + 11 = 44?

Back

Subtract 11 from both sides to get 3x = 33, then divide by 3 to find x = 11.

Front

What is the first step to solve the equation 4x + 5 = 13?

Back

Subtract 5 from both sides to get 4x = 8.

Front

What is the solution to the equation 4x + 5 = 13?

Back

x = 2.

Front

What is the solution to the equation -87 = -3(3r + 8)?

Back

r = 7.

Front

What does it mean if two angles are congruent?

Back

It means that the measures of the angles are equal.

Front

What is the definition of a proof in mathematics?

Back

A logical argument that establishes the truth of a statement or theorem.