Practice Theorem 6 (associative Laws) (6.3.6) - Boolean Algebra and Simplification Techniques - Part A
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Engineering Courses
Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Certifications
Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Theorem 6 (Associative Laws)

Practice - Theorem 6 (Associative Laws)

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does the Associative Law for OR state?

💡 Hint: Think about how you group three numbers together.

Question 2 Easy

Give an example of AND operation using three variables.

💡 Hint: Check the placement of parentheses.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

Is the Associative Law for OR operations valid?

True
False

💡 Hint: Consider how we combine the terms.

Question 2

Which of the following is true regarding Associative Laws?

A + (B + C) = (B + C) + A
A * (B * C) = A + B + C
A * B = B + A

💡 Hint: Look for the grouping in the terms.

Get performance evaluation

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

If X + Y + Z + W = 1, verify that the statement (X + (Y + Z)) + W - 1 is true using the Associative Law.

💡 Hint: Group the terms thoughtfully to see how they relate.

Challenge 2 Hard

Simplify the expression A + (B + (C + D)) + E using the Associative Law.

💡 Hint: Try to see it from a different grouping to confirm it stays the same.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.