https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-evaluating-expressions/v/expression-terms-factors-and-coefficients 2023-05-23T10:28:13.689545116Z Terms, factors, & coefficients In math expressions, terms are the components added or subtracted, factors are the elements multiplied within each term, and coefficients are the numbers multiplying variables. Understanding these concepts is crucial for effective communication and problem-solving in mathematics. Sal Khan video https://cdn.kastatic.org/googleusercontent/KG5lRGcQZUigp2H158bW1ijLQDdzKlMUxoIK0s5BVctNUDeMe-EdJYcFL0XOnhybPFmgYvTs2Ab5bv_zFc08cqI Terms, factors, & coefficients In math expressions, terms are the components added or subtracted, factors are the elements multiplied within each term, and coefficients are the numbers multiplying variables. Understanding these concepts is crucial for effective communication and problem-solving in mathematics. https://cdn.kastatic.org/ka-youtube-converted/9_VCk9tWT0Y.mp4/9_VCk9tWT0Y.mp4 441 Algebra https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-evaluating-expressions/e/identifying-parts-of-expressions 2026-03-15T17:11:10.340789021Z Parts of algebraic expressions Practice identifying the following parts of algebraic expressions: sum, product, quotient, coefficient, factor, term, and variable.  allytobias exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:foundation-algebra/x2f8bb11595b61c86:combine-like-terms/v/combining-like-terms 2023-06-14T19:01:04.581019455Z Intro to combining like terms Adding like terms is a fundamental concept in algebra. Coefficients are the numbers in front of variables, and they can be added when the variables are the same. For example, 2x + 3x equals 5x. When dealing with different variables, such as x and y, add them separately, resulting in expressions like 5x + 9y. Sal Khan video https://cdn.kastatic.org/googleusercontent/VTr15zetlK01KWaaEfOgeL6wIBxyTVD9Nzj5J6jqClaaKhwqSR549sg3nEHteDUAtqN_ZcmmF_lVtlPfPzjP7L4T Intro to combining like terms Adding like terms is a fundamental concept in algebra. Coefficients are the numbers in front of variables, and they can be added when the variables are the same. For example, 2x + 3x equals 5x. When dealing with different variables, such as x and y, add them separately, resulting in expressions like 5x + 9y. https://cdn.kastatic.org/ka-youtube-converted/CLWpkv6ccpA.mp4/CLWpkv6ccpA.mp4 273 Algebra https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-combining-like-terms/v/combining-like-terms-2 2023-06-30T02:13:42.781179102Z Combining like terms example In this lesson, we learned how to simplify algebraic expressions by combining like terms. We focused on understanding the intuition behind adding and subtracting coefficients of the same variables. The result is a simplified expression, making it easier to work with and solve problems. Sal Khan video https://cdn.kastatic.org/googleusercontent/6JkR9NS4Z-1pdmncsY8OsRu6k2NXYUGlrxGv1c0jKAfihUrNFfWgwMdMbBROd5Yq6OeHREhX-FiWET9tcBPa9E2Q Combining like terms example In this lesson, we learned how to simplify algebraic expressions by combining like terms. We focused on understanding the intuition behind adding and subtracting coefficients of the same variables. The result is a simplified expression, making it easier to work with and solve problems. https://cdn.kastatic.org/ka-youtube-converted/1DgDt6gCUKs.mp4/1DgDt6gCUKs.mp4 223 Algebra https://www.khanacademy.org/math/algebra-home/alg-intro-to-algebra/alg-manipulating-expressions/e/combining-like-terms-with-distribution 2021-07-02T09:35:35Z Combining like terms with distribution Practice expanding expressions using the distributive property then combining like terms. Ben exercise https://www.khanacademy.org/math/class-7-od/x48ac5f37f7da7ee1:algebra-odia-class-7/x48ac5f37f7da7ee1:addition-and-subtraction-of-algebraic-expressions-odia-class-7/e/addition-and-subtraction-of-monomials-1 2025-05-22T15:16:12.691169048Z Addition and subtraction of monomials Addition and subtraction of monomials Ashish Gupta exercise https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:poly-arithmetic/x2ec2f6f830c9fb89:poly-add-sub/v/adding-and-subtracting-polynomials-1 2023-08-11T17:38:48.446343948Z Adding polynomials Learn how to simplify polynomials by combining like terms! Discover the power of adding and subtracting terms with the same degree of x. Uncover the magic of removing parentheses and grouping similar terms together to simplify complex expressions. Master the art of polynomial simplification! Sal Khan video https://cdn.kastatic.org/googleusercontent/P52_7TkuPy7FOhq7-OePwtVYkcBA9-pAdD1w7Uvek40918VCfTIlt6TgXnQzEE4212lDDjIebIeAbdfvLzdkO0lq Adding polynomials Learn how to simplify polynomials by combining like terms! Discover the power of adding and subtracting terms with the same degree of x. Uncover the magic of removing parentheses and grouping similar terms together to simplify complex expressions. Master the art of polynomial simplification! https://cdn.kastatic.org/ka-youtube-converted/ahdKdxsTj8E.mp4/ahdKdxsTj8E.mp4 121 Algebra https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:poly-arithmetic/x2ec2f6f830c9fb89:poly-add-sub/v/subtracting-polynomials 2023-08-11T17:38:48.446343948Z Subtracting polynomials Master the art of adding and subtracting polynomials! Learn how to distribute negative signs across terms, combine like terms, and simplify expressions. This skill is key to understanding algebra and making math easier. Sal Khan video https://cdn.kastatic.org/googleusercontent/PGR9Z2IOnfKh7MWus7JU-aNIEKgaRIVq3fXAoZAK1UYQVq8sSroW476cJgoMTZFxYm-113UG20-1qy96K_DMxks Subtracting polynomials Master the art of adding and subtracting polynomials! Learn how to distribute negative signs across terms, combine like terms, and simplify expressions. This skill is key to understanding algebra and making math easier. https://cdn.kastatic.org/ka-youtube-converted/5ZdxnFspyP8.mp4/5ZdxnFspyP8.mp4 127 Algebra https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:poly-arithmetic/x2ec2f6f830c9fb89:poly-add-sub/e/adding_and_subtracting_polynomials 2024-05-02T20:40:27.893470044Z Add polynomials (intro) Example: Add (2x²-3) and (7x³-4x+1). Tomer Gal exercise https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:poly-arithmetic/x2ec2f6f830c9fb89:poly-add-sub/e/subtract-polynomials 2025-06-26T20:46:37.500606524Z Subtract polynomials (intro) Example: Evaluate (4x²-3) - (3x³-3x+2). Tomer Gal exercise https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-writing-expressions/v/writing-expressions-1 2022-11-16T04:22:43.7414897Z Writing expressions with variables To write simple algebraic expressions from mathematical statements, you can follow this procedure: 1. Identify the key terms in the written statement (e.g. "sum," "product," "quantity"). 2. Break the statement down into its component parts. 3. Translate each part into algebraic form, using the appropriate symbols and operations. 4. Simplify the expression if needed. Sal Khan video https://cdn.kastatic.org/googleusercontent/pRt19bWADSJyWDO06iwdyaRKQuUD-AAqqt7FXAacZ_w8NxHZ2zEAu4DNIRJdUIpTxqL_66jJGM3pvfowqwBt_iQB Writing expressions with variables To write simple algebraic expressions from mathematical statements, you can follow this procedure: 1. Identify the key terms in the written statement (e.g. "sum," "product," "quantity"). 2. Break the statement down into its component parts. 3. Translate each part into algebraic form, using the appropriate symbols and operations. 4. Simplify the expression if needed. https://cdn.kastatic.org/ka-youtube-converted/Q1vMNyIP4Us.mp4/Q1vMNyIP4Us.mp4 98 Algebra https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-writing-expressions/e/writing_expressions_1 2025-02-10T05:04:39.155459793Z Writing expressions with variables Practice writing algebraic expressions to match verbal descriptions of mathematical operations. John Resig exercise https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-intro-equations/v/testing-solutions-to-equation 2023-06-30T02:13:42.781179102Z Testing solutions to equations In this math lesson, we learn how to solve an equation with one variable. We test different values for x to see which one satisfies the equation. By substituting x with the given options, we find the correct solution that makes both sides of the equation equal. Practice makes perfect! video https://cdn.kastatic.org/googleusercontent/8O3WoHT1wNlZGrmEncfinp2VFck55vufiiTGcSmbSaIojphoIUKbbyIIbpAUqy-PQGSjpz4FngK85DGMgElX2-tU Testing solutions to equations In this math lesson, we learn how to solve an equation with one variable. We test different values for x to see which one satisfies the equation. By substituting x with the given options, we find the correct solution that makes both sides of the equation equal. Practice makes perfect! https://cdn.kastatic.org/ka-youtube-converted/U9OfQd8poTQ.mp4/U9OfQd8poTQ.mp4 225 Algebra https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-intro-equations/e/testing-solutions-of-equations-inequalities 2026-04-09T15:00:37.748529754Z Testing solutions to equations Practice plugging in values to equations and checking to see if the equations hold true. Ben S. exercise https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-one-step-add-sub-equations/v/solving-one-step-equations 2023-06-30T02:13:42.781179102Z One-step addition equation In this math lesson, we learn to solve simple equations with one variable. We isolate the variable by removing other terms on the same side. For example, if a + 5 = 54, we subtract 5 from both sides to find a = 49. Finally, we check our solution by substituting the value back into the original equation. Sal Khan video https://cdn.kastatic.org/googleusercontent/CBzV-J8wwF1KnWpx77vHD-SHURxGgg_r2gqlSdqqWk51Kxvd6lyyjwDAjPA8JVeHUbCfkvayrZyAFb9bQhEwP2Al One-step addition equation In this math lesson, we learn to solve simple equations with one variable. We isolate the variable by removing other terms on the same side. For example, if a + 5 = 54, we subtract 5 from both sides to find a = 49. Finally, we check our solution by substituting the value back into the original equation. https://cdn.kastatic.org/ka-youtube-converted/VidnbCEOGdg.mp4/VidnbCEOGdg.mp4 114 Algebra https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-one-step-add-sub-equations/e/one_step_equations 2026-03-24T23:41:07.080866137Z One-step addition & subtraction equations Practice solving equations in one step by adding or subtracting the same value from both sides. Scott Menke exercise https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-one-step-mult-div-equations/v/one-step-multiplication-and-division-equations-with-fractions 2023-06-30T02:13:42.781179102Z One-step multiplication & division equations: fractions & decimals In this fun math adventure, we tackle equations with fractions and decimals. We learn to balance equations by applying the same operation on both sides, simplifying fractions, and eliminating decimals. It's a step-by-step journey to mastering algebra! video https://cdn.kastatic.org/googleusercontent/LscX5_c7koZxYyr2IIcDC7JfXUnZR8mAeJaXlv8GaAqlnCvns-orUovvkg9bmshoxkgP37sWtNUImTXwy_8hpZrH One-step multiplication & division equations: fractions & decimals In this fun math adventure, we tackle equations with fractions and decimals. We learn to balance equations by applying the same operation on both sides, simplifying fractions, and eliminating decimals. It's a step-by-step journey to mastering algebra! https://cdn.kastatic.org/ka-youtube-converted/a3acutLstF8.mp4/a3acutLstF8.mp4 471 Algebra https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-one-step-mult-div-equations/e/one-step-mult-div-equations-2 2022-07-28T09:36:48.454963052Z One-step multiplication & division equations: fractions & decimals Practice solving equations in one step by multiplying or dividing a number from both sides. These problems involve decimals and fractions. Ben exercise https://www.khanacademy.org/math/ka-math-class-7/x26f4f4b84655c15c:simple-equations-ncert-new/x26f4f4b84655c15c:more-equations/v/transposing-a-number-in-equation 2024-12-27T06:21:45.961878322Z Transposing a number in equation Simple equations with one variable needs a collection of variables on one side and collection of constants on other side of equal sign. In this video we dive into the concept of moving constant values from one side to other, while changing its sign. Which is also called transposing of a number. Devashish Phadnis video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Transposing a number in equation Simple equations with one variable needs a collection of variables on one side and collection of constants on other side of equal sign. In this video we dive into the concept of moving constant values from one side to other, while changing its sign. Which is also called transposing of a number. https://cdn.kastatic.org/ka-youtube-converted/oYB_ADA3hDY.mp4/oYB_ADA3hDY.mp4 273 Algebra https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-2-step-equations-intro/e/linear_equations_2 2025-12-20T00:44:23.950015857Z Two-step equations Practice solving equations that take two steps to solve. For example, solve  -16 = x/4 + 2. Ben Alpert exercise