# Conditional Statements & Converses Worksheets

Variables, mostly p and q, often symbolize a conditional expression or a conditional expression. P is commonly used for indicating the hypothesis and Q is for the conclusion. There is also a logical connector with the conditional statement. The arrow sign indicates the logical connector. The condition is considered to be valid unless a correct hypothesis leads to a false conclusion. There is a table that can help understand conditional statements and their expected outcomes:

 P Q P --> Q T T T T F F F T T F F T
The above table is called the truth table. It can be seen that p-> is only false in cases where the value of P is true, and Q is false. In all other cases, it is true. It is important to note that conditional is a compound statement. Converse: Switching the hypothesis and conclusion of a conditional statement. For example, the converse of "If it is raining then the grass is wet" is "If the grass is wet, then it is raining." Note: As in the example, a proposition may be true but have a false converse.

• ### Basic Lesson

Demonstrates how to determine common factors in an equation. Factor: 5x - 30 The largest factor of 5 and 30 is 5. Since the terms do not contain a variable (x) in common, we cannot factor any variables.

• ### Intermediate Lesson

Explores how to factor large polynomials. Factor: 3y(y + 2) - 4(y + 2) The greatest common factor of these two terms is (y+2).

• ### Independent Practice 1

Contains 20 Common Factors problems. The answers can be found below.

• ### Independent Practice 2

Features another 20 Common Factors problems.

• ### Homework Worksheet

Common Factors problems for students to work on at home. Example problems are provided and explained. The largest number that will divide evenly into 4,6,2 and 2 The highest power of a present in each term is a.<

• ### Topic Quiz

See how well you understand this skill.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

#### What is the number?

There is a 3 digit number with the tens digit 5 more than the ones digit. The hundreds digit is 8 less than the tens digit. The number is 194