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Academics Hub: What Are the Five Rules of Algebra? Online Math Homework Help

What Are the Five Rules of Algebra? Online Math Homework Help

Do you want to learn the basic rules of algebra? Algebra is a branch of mathematics which is concerned with the representation of a situation with the help of mathematical symbols, variables, and arithmetic operations such as addition, subtraction, multiplication, and division, which result in the expansion of appropriate mathematical expressions. Students during their academic careers come across many algebra assignments. Your professor assigns you many assignments to check your level of understanding of the subject matter.

Algebra is a branch of mathematics that involves a complex set of rules in a wide range of circumstances. That is why students must first learn the fundamental rules, which they will employ as building blocks as their course continues. If you want to learn the basic rules of algebra, here in this blog, I have discussed the five rules of algebra. You can refer to this guide to learn the basic five rules of algebra. Many students find it hard to do their math homework themselves. If you are struggling with your math assignment, seek math homework from online professional writers. Before we move further, let’s discuss algebra rules.

Basics of Algebra

To grasp the fundamentals of algebra, we must first learn the basics of algebra. An algebraic equation is a four-part statement that includes variables, operators, exponents, coefficients, and constants.  For example, in this equation ax2 + bx + c = d, the term with the highest exponent is written first in algebra, and the terms after that are written with lowering powers.

Algebra is a field of mathematics that uses alphabetical letters to solve problems involving unknown numbers. These unknown numbers are variables. When we talk about algebraic fundamentals, we’re talking about the generic algebraic expressions, formulae, and identities to answer multiple mathematical issues. Let’s take a look at the basic rules of algebra.

Rules of Algebra

Here are the basic rules of algebra that you need to learn if you want to become a pro in algebraic calculation.

  • Commutative Rule of Addition
  • Commutative Rule of Multiplication
  • Associative Rule of Addition 
  • Associative Rule of Multiplication
  • Distributive Rule of Multiplication

Commutative Rule of Addition

The commutative rule of addition is one of the rules of algebra that states when two terms are added, the order in which they are added makes no difference. (a + b) = (b + a) is the equation for the situation. For instance, (2x + x3) Equals (x3 + 2x). The word “commutative” comes from the words “move around” or “commute. According to this rule, you can change numbers or variables around in algebra and still get the same solution.

For example: A+B= B+A


3+4 = 4+3

Commutative Rule of Multiplication

Commutative law only applies to addition and multiplication operations in mathematics. It does not, however, apply to the other two mathematical operations, subtraction, and division. According to the commutative law of commutative property, the multiplication of a and b produces the same result regardless of the position of a and b, if a and b are any two integers. It can be represented symbolically as 2 × 5 = 5 × 2 = 10. The commutative rule of multiplication asserts that the order in which two terms are multiplied makes no difference. (a b) = (b a) is the equation for the same. For instance, (x4 – 2x) 3x = 3x (x4 – 2x).

Associative Rule of Addition – One of the Powerful Rules of Algebra

When three or more terms are added, the associative rule of addition asserts that the order of addition does not matter. For example, X7 + (3×2 + 2) = (x7 + 3×2) + 2.


a + (b + c) = (a + b) + c

To “associate” with something means to join or link with it.

When we add three or more numbers, the associative property of addition states that we can arrange them in any order we like and the sum will remain the same regardless of how they’re grouped.

Associative Rule of Multiplication

The associative rule of multiplication is one of the rules of algebra that states that when three or more terms are multiplied, the sequence of multiplication does not matter. For instance, a (bc) = (a b) c and x3 (2x*4 x) = (x3* 2x) 4x are equal. The associative feature of multiplication asserts that the order in which the numbers in a multiplication issue are grouped has no bearing on or changes the product of those numbers. In other words, no matter how three or more integers are organized, the product remains the same.

To grasp the concept of the associative property of multiplication, consider the following example.

(4*3) *2= 4*(3*2)

The left-hand expression demonstrates that 4 and 3 are grouped, but the right-hand phrase shows that 3 and 2 are grouped. However, when we multiply all of the numbers together, the result is the same.

Distributive Rule of Multiplication- One of the Focal Rules of Algebra

To “distribute” anything is to split it or to provide a piece or part of it.

According to the distributive property , Multiplying the sum of two or more addends by a number provides the same result as multiplying each addend individually by the number and then adding the products together.

The distributive rule of multiplication asserts that when we multiply a number by the sum of two numbers, we get the same outcome as when we multiply the numbers individually. For example, a (b + c) = (a*b) + (a*c)


x2 (2x + 1) = (x2* 2x) + (x2* 1)

The Distributive Property is an algebraic property that allows you to multiply two or more numbers within a set of parentheses. When a factor is multiplied by the sum/addition of two terms, the distributive property states that it is necessary to multiply each of the two integers by the factor before performing the addition operation.

Seek Math Homework Help from Professional Academic Writers

Do you find it tedious to complete your math homework? Struggling to get the math assignment solution? Don’t worry! Many online math homework helpers are available in the market that is providing online homework assistance to the students. If you are unable to complete your assignment because of a short deadline, online homework assignment help services do the job for you. You can hire professional and highly qualified math homework solvers to get the assignment solution as per your need. Many students struggle with their math homework due to a lack of time. You can get the solution to your math assignment. For that, you need to hire a professional from a reliable homework help website.

To hire a professional math assignment helper, go to any search engine and type these keywords: math homework help, online math help, math homework help services. Once you type these keywords, you will get the list of the top ten assignment help websites. Check each website one by one. Check their previous customer’s reviews, ratings, and several assignments they have done. Once you get the idea, choose the best academic writing website that meets your requirements.

Why Choose Math Homework Help Services?

During college and university life, students come across many assignments. Math is a subject that students find hard to study. That is why they look for someone who can help them solve their math homework. Are you facing the same issue? If yes, then you need to seek help from expert online academic writing services. Many online professional math homework helpers assist students with their algebra problems. With the help of academic writing services, you will get a high-quality assignment solution at affordable prices. Assignment writing websites hire only professional math experts who have a vast knowledge of the subject matter. They help students understand the basic rules of algebra and solve their math problems.

Also, they ensure to meet the deadlines so you can submit your assignment on time. All you need is to share your math assignment requirements and let the math experts solve your math homework.


Math is a complicated subject because it consists of theorems, algebra, trigonometry, and multiple other concepts. College and university students struggle with math assignments because they find it hard to understand the basic rules of algebra and other mathematics principles. That is why they aren’t able to produce their assignments on time. Do you want to learn the rules of algebra? In this blog, I have mentioned all five rules of algebra. The five algebra rules are the commutative rule of addition, commutative rule of multiplication, associative rule of addition, associative rule of multiplication, and distributive rule of multiplication. You can learn the algebra basics through this guide. Still, if you are struggling with math assignments, get help from online reliable academic writing services offering math assignment solutions.

About Mike Fredrick

Mike Frederick is PhD in Mathematics from the School of Mathematics, University of Bristol, England. He has been in the academic writing field for ten years and has interest in travelling and digital marketing too. Over the years he has produced numerous successful Math assignment and research papers for students of various Universities. He has also experience in editing and reviewing various Math assignments. We are proud to have him in our Academics Hub Team of writers.

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