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Original
2026-01-01
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2026-02-28
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<p>155 Learners</p>
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<p>184 Learners</p>
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<p>Last updated on<strong>October 29, 2025</strong></p>
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<p>Last updated on<strong>October 29, 2025</strong></p>
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<p>In algebra, expressions consist of terms separated by addition or subtraction. A term can include numbers, variables, or both. Identifying like and unlike terms helps simplify and solve algebraic expressions.</p>
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<p>In algebra, expressions consist of terms separated by addition or subtraction. A term can include numbers, variables, or both. Identifying like and unlike terms helps simplify and solve algebraic expressions.</p>
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<h2>What are Like Terms?</h2>
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<h2>What are Like Terms?</h2>
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<p>What Is Algebra? 🧮 | Simple Explanation with 🎯 Cool Examples for Kids | ✨BrightCHAMPS Math</p>
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<p>What Is Algebra? 🧮 | Simple Explanation with 🎯 Cool Examples for Kids | ✨BrightCHAMPS Math</p>
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<p>▶</p>
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<p>▶</p>
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<p>3x2 and 5x2 are like terms because both have the variable x2.</p>
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<p>3x2 and 5x2 are like terms because both have the variable x2.</p>
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<p>2xy and -7xy are like terms because both have the variable xy.</p>
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<p>2xy and -7xy are like terms because both have the variable xy.</p>
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<h2>What are Unlike Terms?</h2>
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<h2>What are Unlike Terms?</h2>
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<p>Unlike terms are defined as terms with different variables, or the same variables with different exponents.</p>
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<p>Unlike terms are defined as terms with different variables, or the same variables with different exponents.</p>
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<p>For example:</p>
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<p>For example:</p>
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<p>4x and 4y are unlike terms because they have different variables.</p>
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<p>4x and 4y are unlike terms because they have different variables.</p>
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<p>3x2 and 3x are unlike terms because the terms have different exponents.</p>
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<p>3x2 and 3x are unlike terms because the terms have different exponents.</p>
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<p>ab and a2b are unlike terms because they have different<a>powers</a><a>of</a>a.</p>
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<p>ab and a2b are unlike terms because they have different<a>powers</a><a>of</a>a.</p>
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<h2>Difference Between Like and Unlike Terms</h2>
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<h2>Difference Between Like and Unlike Terms</h2>
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<p>The variables and their powers decide whether two terms are like or unlike. Understanding the difference between them helps us simplify and solve<a></a><a>algebraic expressions</a>. </p>
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<p>The variables and their powers decide whether two terms are like or unlike. Understanding the difference between them helps us simplify and solve<a></a><a>algebraic expressions</a>. </p>
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<p><strong>Feature</strong></p>
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<p><strong>Feature</strong></p>
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<p><strong>Like terms</strong></p>
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<p><strong>Like terms</strong></p>
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<p><strong>Unlike terms</strong></p>
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<p><strong>Unlike terms</strong></p>
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<p><strong>Definition</strong></p>
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<p><strong>Definition</strong></p>
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<p>Terms that have the same variables raised to the same exponents.</p>
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<p>Terms that have the same variables raised to the same exponents.</p>
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<p>Terms that have different variables, or the same variables with different exponents.</p>
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<p>Terms that have different variables, or the same variables with different exponents.</p>
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<p><strong>Example</strong></p>
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<p><strong>Example</strong></p>
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<p>2x and 3x; 4xy and 5xy</p>
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<p>2x and 3x; 4xy and 5xy</p>
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<p>3x and 3y; 5x3 and 5x</p>
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<p>3x and 3y; 5x3 and 5x</p>
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<p><strong>Can the terms combine?</strong></p>
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<p><strong>Can the terms combine?</strong></p>
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<p>Yes, like terms can be added or subtracted.</p>
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<p>Yes, like terms can be added or subtracted.</p>
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<p>No, unlike terms cannot be combined directly.</p>
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<p>No, unlike terms cannot be combined directly.</p>
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<p><strong>Simplification</strong></p>
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<p><strong>Simplification</strong></p>
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<p>Can be easily simplified by combining coefficients.</p>
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<p>Can be easily simplified by combining coefficients.</p>
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<p>Cannot be simplified unless rewritten as like terms. </p>
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<p>Cannot be simplified unless rewritten as like terms. </p>
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<h2>Rules of Addition and Subtraction of Like Terms</h2>
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<h2>Rules of Addition and Subtraction of Like Terms</h2>
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<p>Like terms can be added or subtracted easily by following these simple steps:</p>
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<p>Like terms can be added or subtracted easily by following these simple steps:</p>
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<p><strong>Step 1:</strong>Identify like terms these are terms that have the same variables with the same exponents. Once identified, you can add or subtract their coefficients. For example,\( 2x + 3x = 5x\).</p>
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<p><strong>Step 1:</strong>Identify like terms these are terms that have the same variables with the same exponents. Once identified, you can add or subtract their coefficients. For example,\( 2x + 3x = 5x\).</p>
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<p><strong>Step 2:</strong><a>Add or subtract</a>the coefficients of like terms while keeping the variable unchanged. For example, \(6y + 3y = (3 + 6) y = 9y.\)</p>
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<p><strong>Step 2:</strong><a>Add or subtract</a>the coefficients of like terms while keeping the variable unchanged. For example, \(6y + 3y = (3 + 6) y = 9y.\)</p>
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<p><strong>Step 3:</strong>Keep the sign in mind, pay attention to the signs (+/-) of each term when adding or subtracting. \(10y -15y = -5y.\)</p>
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<p><strong>Step 3:</strong>Keep the sign in mind, pay attention to the signs (+/-) of each term when adding or subtracting. \(10y -15y = -5y.\)</p>
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<h2>Rules of Addition and Subtraction of Unlike Terms</h2>
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<h2>Rules of Addition and Subtraction of Unlike Terms</h2>
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<p>Unlike, terms cannot be added or subtracted because they have different variables or different exponents, making them impossible to combine. Here’s how to handle them: </p>
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<p>Unlike, terms cannot be added or subtracted because they have different variables or different exponents, making them impossible to combine. Here’s how to handle them: </p>
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<p><strong>Step 1:</strong>Do not combine unlike terms. Instead, leave them as they are. For example, \(3x + 7y\) cannot be simplified, so it stays as it is. </p>
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<p><strong>Step 1:</strong>Do not combine unlike terms. Instead, leave them as they are. For example, \(3x + 7y\) cannot be simplified, so it stays as it is. </p>
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<p><strong>Step 2:</strong>Write them in a simplified and organized manner, without combining them.</p>
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<p><strong>Step 2:</strong>Write them in a simplified and organized manner, without combining them.</p>
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<h2>Tips and Tricks of Like and Unlike Algebraic Terms</h2>
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<h2>Tips and Tricks of Like and Unlike Algebraic Terms</h2>
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<p>Learning about like and unlike terms helps make<a>algebra</a>easier to understand. These simple tips and tricks will help students quickly identify, group, and simplify terms while solving<a>math problems</a>. </p>
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<p>Learning about like and unlike terms helps make<a>algebra</a>easier to understand. These simple tips and tricks will help students quickly identify, group, and simplify terms while solving<a>math problems</a>. </p>
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<ul><li>When identifying like terms, always check the letters and their powers, not the<a>numbers</a>.</li>
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<ul><li>When identifying like terms, always check the letters and their powers, not the<a>numbers</a>.</li>
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<li>Terms are “like” only if both the variable(s) and their exponents<a>match</a>exactly.</li>
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<li>Terms are “like” only if both the variable(s) and their exponents<a>match</a>exactly.</li>
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<li>If the variable part changes (like a and b), they are unlike terms.</li>
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<li>If the variable part changes (like a and b), they are unlike terms.</li>
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<li>You can add or subtract like terms but never unlike ones.</li>
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<li>You can add or subtract like terms but never unlike ones.</li>
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<li>When combining terms, remember to include the positive or negative sign before each term.</li>
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<li>When combining terms, remember to include the positive or negative sign before each term.</li>
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</ul><h2>Common Mistakes in Like and Unlike Algebraic Terms and How to Avoid Them</h2>
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</ul><h2>Common Mistakes in Like and Unlike Algebraic Terms and How to Avoid Them</h2>
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<p>Understanding the difference between like and unlike terms in algebra is important. But many students find it hard and make simple mistakes that lead to wrong answers. Here are some common mistakes with tips to avoid them:</p>
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<p>Understanding the difference between like and unlike terms in algebra is important. But many students find it hard and make simple mistakes that lead to wrong answers. Here are some common mistakes with tips to avoid them:</p>
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<h2>Real-Life Applications of Like and Unlike Algebraic Terms</h2>
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<h2>Real-Life Applications of Like and Unlike Algebraic Terms</h2>
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<p>Like and unlike terms aren’t just for<a>solving equations</a>in class; they also help us to solve practical, real-life problems. Here are some real-life applications of like and unlike algebraic terms. </p>
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<p>Like and unlike terms aren’t just for<a>solving equations</a>in class; they also help us to solve practical, real-life problems. Here are some real-life applications of like and unlike algebraic terms. </p>
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<ul><li><strong>Budgeting and Finances:</strong>When creating a monthly budget, expenses like rent, groceries, and travel are unlike terms because they represent different categories. But if your child has several grocery bills, those can be added together as like terms since they belong to the same category.</li>
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<ul><li><strong>Budgeting and Finances:</strong>When creating a monthly budget, expenses like rent, groceries, and travel are unlike terms because they represent different categories. But if your child has several grocery bills, those can be added together as like terms since they belong to the same category.</li>
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<li><strong>Construction and Architecture:</strong>Workers use like and unlike terms to stay organized. For example, in construction, cement bags of the same type can be counted together just like combining like terms. Materials that are different can’t be grouped together, as they are unlike terms. This helps workers plan better and avoid mistakes during construction. </li>
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<li><strong>Construction and Architecture:</strong>Workers use like and unlike terms to stay organized. For example, in construction, cement bags of the same type can be counted together just like combining like terms. Materials that are different can’t be grouped together, as they are unlike terms. This helps workers plan better and avoid mistakes during construction. </li>
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<li><strong>Classroom Seating or Grouping:</strong>In a classroom, students in the same team are grouped together, like combining like terms. Students from different teams stay separate, just like unlike terms, helping organize seating easily </li>
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<li><strong>Classroom Seating or Grouping:</strong>In a classroom, students in the same team are grouped together, like combining like terms. Students from different teams stay separate, just like unlike terms, helping organize seating easily </li>
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<li><strong>Distance or Travel Planning:</strong>When planning a trip, distances in the same units and along the same route can be added easily, like combining like terms. Distances in different units are unlike terms and can’t be added directly.</li>
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<li><strong>Distance or Travel Planning:</strong>When planning a trip, distances in the same units and along the same route can be added easily, like combining like terms. Distances in different units are unlike terms and can’t be added directly.</li>
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<li><strong>Inventory or Stock Counting (Like Terms):</strong>In shops, similar items are grouped together, like combining like terms in<a>math</a>. Items of the same type, such as pens, can be added easily, while different ones, like pens and pencils, are counted separately.</li>
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<li><strong>Inventory or Stock Counting (Like Terms):</strong>In shops, similar items are grouped together, like combining like terms in<a>math</a>. Items of the same type, such as pens, can be added easily, while different ones, like pens and pencils, are counted separately.</li>
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</ul><h3>Problem 1</h3>
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</ul><h2>Download Worksheets</h2>
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<h3>Problem 1</h3>
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<p>Are the terms 4x, -7x, and 9x like terms?</p>
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<p>Are the terms 4x, -7x, and 9x like terms?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p> Yes, the terms are like terms. </p>
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<p> Yes, the terms are like terms. </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>All three terms have the same variable, which is x raised to the same power. Only the coefficients are different. </p>
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<p>All three terms have the same variable, which is x raised to the same power. Only the coefficients are different. </p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 2</h3>
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<h3>Problem 2</h3>
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<p>Simplify: 3a + 7a</p>
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<p>Simplify: 3a + 7a</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p> 10a </p>
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<p> 10a </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Both terms have the same variable a, they are like terms. Add the coefficients: 3 + 7=10 and add the variable a. </p>
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<p>Both terms have the same variable a, they are like terms. Add the coefficients: 3 + 7=10 and add the variable a. </p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 3</h3>
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<h3>Problem 3</h3>
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<p>Simplify: 8x -5x</p>
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<p>Simplify: 8x -5x</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>3x </p>
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<p>3x </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>They are like terms with the same variable x. So subtract coefficients: 8x - 5x = 3x </p>
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<p>They are like terms with the same variable x. So subtract coefficients: 8x - 5x = 3x </p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 4</h3>
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<h3>Problem 4</h3>
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<p>Simplify: 2x + 3y</p>
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<p>Simplify: 2x + 3y</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p> It is an unlike term. </p>
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<p> It is an unlike term. </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>x and y are different variables, so they are unlike terms and cannot be combined.</p>
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<p>x and y are different variables, so they are unlike terms and cannot be combined.</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 5</h3>
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<h3>Problem 5</h3>
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<p>Simplify: 4x + 3y + 5x + 2y</p>
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<p>Simplify: 4x + 3y + 5x + 2y</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p> (4x + 5x) + (3y + 2y) = 9x + 5y </p>
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<p> (4x + 5x) + (3y + 2y) = 9x + 5y </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Here, we need to group terms with the same variable. 4x and 5x have the same variable (x), so group them together. Similarly, 3y and 2y are grouped together.</p>
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<p>Here, we need to group terms with the same variable. 4x and 5x have the same variable (x), so group them together. Similarly, 3y and 2y are grouped together.</p>
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<p>Once the grouping is done, we can add the like terms. Grouping and adding only like terms gives us the answer 9x + 5y, which cannot be simplified further.</p>
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<p>Once the grouping is done, we can add the like terms. Grouping and adding only like terms gives us the answer 9x + 5y, which cannot be simplified further.</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h2>FAQs of Like and Unlike Algebraic Terms</h2>
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<h2>FAQs of Like and Unlike Algebraic Terms</h2>
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<h3>1.How do we find like and unlike algebraic terms?</h3>
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<h3>1.How do we find like and unlike algebraic terms?</h3>
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<p>To find the like and unlike algebraic terms, look at the variables and their powers. Like terms have the same variables with the same exponents. If they have different variables or the same variables with different powers, then they are unlike terms. </p>
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<p>To find the like and unlike algebraic terms, look at the variables and their powers. Like terms have the same variables with the same exponents. If they have different variables or the same variables with different powers, then they are unlike terms. </p>
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<h3>2.Can we combine unlike algebraic terms?</h3>
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<h3>2.Can we combine unlike algebraic terms?</h3>
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<p>No, we cannot combine unlike algebraic terms. </p>
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<p>No, we cannot combine unlike algebraic terms. </p>
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<h3>3.Are 9x and 4y like terms?</h3>
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<h3>3.Are 9x and 4y like terms?</h3>
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<p>No, they are unlike terms. </p>
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<p>No, they are unlike terms. </p>
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<h3>4.Are like terms important in algebra?</h3>
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<h3>4.Are like terms important in algebra?</h3>
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<p>Like terms help to simplify the expressions and solve the equations by combining them using operations like<a>addition</a>or<a>subtraction</a>. </p>
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<p>Like terms help to simplify the expressions and solve the equations by combining them using operations like<a>addition</a>or<a>subtraction</a>. </p>
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<h3>5.Are 5x2y and 7yx2 like terms?</h3>
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<h3>5.Are 5x2y and 7yx2 like terms?</h3>
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<p>Yes, the variables and their powers are the same, even though the order is different. </p>
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<p>Yes, the variables and their powers are the same, even though the order is different. </p>
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<h3>6.How can parents guide their child to identify like terms correctly?</h3>
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<h3>6.How can parents guide their child to identify like terms correctly?</h3>
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<p>Parents can encourage their child to look closely at the variable part. If both the variable and its power are the same, they belong to the same group of like terms.</p>
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<p>Parents can encourage their child to look closely at the variable part. If both the variable and its power are the same, they belong to the same group of like terms.</p>
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<h3>7.What can parents do if their child finds variables confusing?</h3>
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<h3>7.What can parents do if their child finds variables confusing?</h3>
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<p>Parents can explain that variables like x or y are simply placeholders for numbers, just like using letters to represent unknowns in a word puzzle.</p>
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<p>Parents can explain that variables like x or y are simply placeholders for numbers, just like using letters to represent unknowns in a word puzzle.</p>
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<h3>8.How can parents explain unlike terms to their child in a simple way?</h3>
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<h3>8.How can parents explain unlike terms to their child in a simple way?</h3>
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<p>Parents can say that unlike terms are like “different types of fruits” you can’t add apples and oranges, just like you can’t add 3x and 5y.</p>
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<p>Parents can say that unlike terms are like “different types of fruits” you can’t add apples and oranges, just like you can’t add 3x and 5y.</p>
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<h2>Jaskaran Singh Saluja</h2>
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<h2>Jaskaran Singh Saluja</h2>
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<h3>About the Author</h3>
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<h3>About the Author</h3>
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<p>Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.</p>
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<p>Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.</p>
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<h3>Fun Fact</h3>
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<h3>Fun Fact</h3>
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<p>: He loves to play the quiz with kids through algebra to make kids love it.</p>
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<p>: He loves to play the quiz with kids through algebra to make kids love it.</p>