homework 3 conditional statements answer key

Conditional Statements & Converses Worksheets

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.<

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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

Homework 3 Conditional Statements Answer Key

The homework 3 conditional statements answer key provides a comprehensive solution to the conditional statements section of Homework 3. This guide offers a clear understanding of conditional statements, their types, and their applications in real-world programming scenarios. By delving into the concepts and techniques associated with conditional statements, this answer key empowers programmers to tackle coding challenges with confidence and efficiency.

Throughout this guide, we will explore the fundamental principles of conditional statements, including their syntax, evaluation process, and common pitfalls. We will also delve into various methods for solving conditional statements, highlighting their advantages and disadvantages. Additionally, we will provide a step-by-step procedure for debugging conditional statements, ensuring that programmers can identify and resolve errors effectively.

Definition of Conditional Statements

Conditional statements are a fundamental concept in programming that allow the execution of code based on specific conditions. They provide a way to control the flow of a program and make decisions.

Conditional statements are used to evaluate a condition and execute a specific block of code if the condition is true. They come in various forms, such as if-else statements, switch-case statements, and ternary operators.

Homework 3: Conditional Statements Answer Key

Requirements.

Homework 3 focused on the implementation of conditional statements in a programming language. Students were required to write code that evaluated conditions and executed appropriate actions.

The answer key for the conditional statements section of Homework 3 includes the following:

• If-else statement: The answer key provides the correct syntax and usage of the if-else statement.
• Switch-case statement: The answer key explains the structure and functionality of the switch-case statement.
• Ternary operator: The answer key demonstrates the use of the ternary operator as a concise way to evaluate conditions.

Examples of Conditional Statements

Conditional statements are widely used in real-world applications. Here are some examples:

Methods for Solving Conditional Statements

There are different methods for solving conditional statements, each with its own advantages and disadvantages:

Method 1: Manual Evaluation

This method involves manually checking each condition and executing the corresponding code. It is straightforward but can be time-consuming for complex conditions.

Method 2: Flowcharting, Homework 3 conditional statements answer key

Flowcharting uses visual diagrams to represent the flow of control in a program. It helps visualize the logic and identify potential errors.

Method 3: Boolean Algebra

Boolean algebra uses mathematical operations to simplify and optimize conditional statements. It is a powerful technique but requires a good understanding of Boolean logic.

Procedures for Debugging Conditional Statements: Homework 3 Conditional Statements Answer Key

Debugging conditional statements involves identifying and resolving errors in the code:

• Check the condition: Ensure that the condition is correctly written and evaluates to the intended result.
• Trace the code: Step through the code line by line to see how the condition is evaluated and what code is executed.
• Use logging or print statements: Add logging statements to output the values of variables and the results of conditions to help identify the source of the error.
• Test with different inputs: Try different input values to see if the condition behaves as expected.

FAQ Explained

What is the purpose of conditional statements in programming?

Conditional statements allow programmers to control the flow of execution in a program based on certain conditions. They enable programs to make decisions and perform different actions depending on whether a condition is true or false.

What are the different types of conditional statements?

There are several types of conditional statements, including if-else statements, switch-case statements, and ternary conditional operators. Each type serves a specific purpose and has its own syntax.

How do I debug conditional statements?

Debugging conditional statements involves identifying and resolving errors that prevent them from functioning correctly. This can be done by using debugging tools, such as breakpoints and print statements, to trace the execution of the program and identify the source of the error.

Conditionals Exercise

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Zero conditional

First conditional

Second conditional

Third conditional

Mixed conditionals

Worksheets - handouts

Conditionals

Worksheets - pdf exercises.

• Zero conditional - worksheet
• Zero conditional - worksheets
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• First conditional - worksheet
• First conditional - pdf exercises
•  IF Clauses - Type 1 
• IF-clauses - conditional 1
• First conditional - worksheets
• ---------------------------------
• Second conditional - worksheet
• IF Clauses - Type 2
• Second conditional - worksheets
• First and second conditional
• Worksheet - second conditional
• Third conditionals - pdf exercises
• The third conditional - pdf
• IF Clauses - Type 3
• Third conditional - worksheets
• Third conditional - pdf exercises
• Conditional sentences - mixed
• Second and third conditional
• Conditional worksheet -> answers
• IF-clauses - all types 1  
• IF-clauses - all types 2 
• IF-clauses - all types 3 
• IF-clauses - all types 4  
• IF-clauses - all types 5 
• Missing sentence types 1
• Missing sentence types 2
• Mixed conditionals - worksheets
• Mixed conditionals - worksheet
• Conditional sentences - exercises
• If clauses - advanced 1
• If clauses - advanced 2
• If Clauses - all types 3
• If Clauses - all types 4
• If Clauses - all types 5
• If Clauses - all types 7
• If Clauses - all types 8
• If clauses - worksheet
• Worksheets pdf - print
• If clauses - finish the sentences
• Grammar worksheets - handouts

Grammar lesson

• Conditionals - grammar notes

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Unit 2 Logic Proof Homework 3 Conditional Statements

Unit 2 Logic Proof Homework 3 Conditional Statements - Displaying top 8 worksheets found for this concept.

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1. Logic and Conditional Statements

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CONDITIONAL AND BICONDITIONAL STATEMENTS WORKSHEET

Problem 1 :

Rewrite the following conditional statements in if-then form.

(i) Two points are collinear if they lie on the same line.

(ii) A number is divisible by 9 is also divisible by 3.

(iii) All sharks have a boneless skeleton.

Problem 2 :

Write a counter example to show that the following conditional statement is false.

If x 2  = 25, then x = 5

Problem 3 :

Write the converse of the following conditional statement.

Statement :

"If two segments have the same length, then they are congruent"

Problem 4 :

Write (a) inverse, (b) converse, (c) contrapositive of the following statement.

"If there is snow on the ground, the flowers are not in bloom"

Problem 5 :

Whether each statement about the diagram is true. Explain your answer using the definitions you have learned.

(i)  Points D, X and B are collinear.

(ii)  AC is perpendicular to DB.

(iii)   ∠AXB is adjacent to  ∠CXD.

Problem 6 :

Write the following biconditional statement as a conditional statement and its converse.

"Three lines are coplanar if and only if they lie in the same plane"

Problem 7 :

Consider the following statement :

x = 3 if and only if x 2 = 9

(i) Is this a biconditional statement?

(ii) Is the statement true?

Problem 8 :

Each of the following statements is true. Write the converse of each statement and decide whether the converse is true or false. If the converse is true, combine it with the original statement to form a true biconditional statement. If the converse is false, state a counterexample.

(i) If two points lie in a plane, then the line containing them lies in the plane.

(ii) If a number ends in 0, then the number is divisible by 5.

1. Answer :

(i) If two points lie on the same line, then they are collinear.

(ii) If a number is divisible by 9, then it is divisible by 3.

(iii) If a fish is a shark, then it would have a boneless skeleton.

2. Answer :

As a counter example, let us take x = -5.

The hypothesis is true, because (-5) 2  = 25. But, the conclusion is false, because it is given x = 5.

It implies that the given conditional statement is false.

3. Answer :

"If two segments are congruent, then they have the same length"

4. Answer :

(a) Inverse :

"If there is no snow on the ground, the flowers are in bloom"

(b) Converse :

"If flowers are not in bloom, then there is snow on the ground"

(b) Contrapositive :

"If flowers are in bloom, then there is no snow on the ground"

5. Answer :

(i) This statement is true. Two or more points are collinear, if they lie on the same line. The points D, X and B all lie on line DB. So they are collinear.

(ii) This statement is true. The right angle symbol in the diagram indicates that the lines AC and BD intersect to form a right angle. So, the lines are perpendicular.

(iii) This statement is false. By definition, adjacent angles must share a common side. Because  ∠AXB and  ∠CXD do not share a common side, they are adjacent.

6. Answer :

Conditional Statement :

If three lines are coplanar, then they lie in the same plane.

If three lines lie in the same plane, then they are coplanar.

7. Answer :

(i) The statement is biconditional because it contains “if and only if.”

(ii) The statement can be rewritten as the following statement and its converse.

Conditional statement :

If x = 3, then x 2 = 9

If  x 2  = 9, then x = 3

The first of these statements is true, but the second is false. Because, if x 2 = 9, then x = 3 or -3.

So, the biconditional statement is false.

8. Answer :

Solution (i) :

(i) If a line containing two points lies in a plane, then the points lie in the plane.

The converse is true, as shown in the diagram. So, it can be combined with the original statement to form the true biconditional statement written below.

Biconditional statement :

Two points lie in a plane, if and only if the line containing them lies in the plane.

Solution (ii) :

If a number is divisible by 5, then the number ends in 0. The  converse is false. As a counterexample, consider the number 15. It is divisible by 5, but it does not end in 0, as shown below.

20 ÷ 5  =  4

25 ÷ 5  =  5

30 ÷ 5  =  6

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