https://www.khanacademy.org/math/revision-mh-math-class-6/x01cb2212e31ce997:decimal-fractions/x01cb2212e31ce997:equations/v/writing-expressions-with-variables_indian_accent 2025-06-05T07:09:47.125536708Z 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. Skyloom (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw 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/v0u6oMoujfA.mp4/v0u6oMoujfA.mp4 82 Expressions using Letter-Numbers https://www.khanacademy.org/math/class-7-ncf/x063f95a40c290960:expressions-using-letter-numbers/x063f95a40c290960:the-notion-of-letter-numbers/v/what-is-a-variable-inidan-accent 2025-05-30T05:30:36.604331212Z What is a variable? Variables in math are symbols, often letters, that represent different values in various situations. They help us understand and solve problems with changing values. For example, when calculating total earnings at a job with an hourly wage plus tips, a variable can represent the fluctuating tips, making it easier to determine total income. Skyloom (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw What is a variable? Variables in math are symbols, often letters, that represent different values in various situations. They help us understand and solve problems with changing values. For example, when calculating total earnings at a job with an hourly wage plus tips, a variable can represent the fluctuating tips, making it easier to determine total income. https://cdn.kastatic.org/ka-youtube-converted/jwCHRU7xIro.mp4/jwCHRU7xIro.mp4 192 Expressions using Letter-Numbers https://www.khanacademy.org/math/class-7-ncf/x063f95a40c290960:expressions-using-letter-numbers/x063f95a40c290960:the-notion-of-letter-numbers/v/perimeter-of-a-square-using-variables-algebra-class-6-india-math-khan-academy 2020-10-07T19:09:49Z Perimeter of a square using variables Let's learn how to write the perimeter for any square in the language of mathematics using variables. Aanand Srinivas video https://cdn.kastatic.org/googleusercontent/apoLmdVvrLsKeff_g4For8ZKF80v-RYsNGy_Sdo9JruyibZldcGis60Q0kF17We4PPVRVs10pVHgfs6dL9ibSTmw Perimeter of a square using variables Let's learn how to write the perimeter for any square in the language of mathematics using variables. https://cdn.kastatic.org/ka-youtube-converted/ezPWpQit2FU.mp4/ezPWpQit2FU.mp4 275 Expressions using Letter-Numbers https://www.khanacademy.org/math/class-7-ncf/x063f95a40c290960:expressions-using-letter-numbers/x063f95a40c290960:simplification-of-algebraic-expression-part-1/v/perimeter-of-a-rectangle-using-variables-algebra-class-6-india-math-khan-academy 2020-11-03T12:02:05Z Perimeter of a rectangle using variables Let's learn how to write the perimeter for any rectangle in the language of mathematics using variables. Aanand Srinivas video https://cdn.kastatic.org/googleusercontent/SRQdQqrIxPmCDDenrBHmd13YhPRzfFo19Y94jicYJpASbRMeHVZLgC904KO71jhAW_2bnXEI-rPi38eKC6Kq5g0o Perimeter of a rectangle using variables Let's learn how to write the perimeter for any rectangle in the language of mathematics using variables. https://cdn.kastatic.org/ka-youtube-converted/EnKre0h2An4.mp4/EnKre0h2An4.mp4 330 Expressions using Letter-Numbers https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-writing-expressions/e/writing-expressions-with-variables-1 2026-02-27T05:20:50.375487085Z Writing basic expressions with variables Practice writing basic algebraic expressions to match verbal descriptions of mathematical operations. Ben exercise https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-alg-expression-word-problems/e/writing-expressions-with-variables-word-problems 2021-06-30T17:51:14Z Writing basic expressions word problems Practice writing basic algebraic expressions to model real-world situations. allytobias exercise https://www.khanacademy.org/math/cc-third-grade-math/3rd-basic-multiplication/distributive-property/v/properties-and-patterns-for-multiplication 2021-05-18T23:20:48Z Properties and patterns for multiplication Sal changes the order of numbers or decomposes numbers to simplify multiplication problems.    Sal Khan video https://cdn.kastatic.org/googleusercontent/7cVQruJ5tMIIsJQAzM-ss8jJzhX9zZ6Myr59BKAi2JYgD1_DgwNH5M6SA7sAJtd7nzzG27ccUIt7TCIBbch-0ZN2lg Properties and patterns for multiplication Sal changes the order of numbers or decomposes numbers to simplify multiplication problems.    https://cdn.kastatic.org/ka-youtube-converted/um2nlNVM_YM.mp4/um2nlNVM_YM.mp4 514 Expressions using Letter-Numbers https://www.khanacademy.org/math/cc-seventh-grade-math/x6b17ba59:rational-numbers-addition-and-subtraction/cc-7th-properties-of-addition-and-subtraction/e/commutative-and-associative-properties-of-addition-with-integers 2025-02-10T09:17:49.615690606Z Commutative and associative properties of addition with integers Rewrite numerical expressions involving subtraction as sums of integers in order to apply the commutative and associative properties of addition. Charlie Auen exercise https://www.khanacademy.org/math/cc-third-grade-math/3rd-basic-multiplication/distributive-property/e/distributive-property-of-multiplication- 2025-02-25T11:20:34.857789849Z Distributive property Practice decomposing the factors in multiplication problems and see how it affects the product. Priya exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:foundation-algebra/x2f8bb11595b61c86:intro-variables/v/why-aren-t-we-using-the-multiplication-sign 2023-05-23T10:28:13.689545116Z Why aren't we using the multiplication sign? In algebra, representing multiplication with variables can be tricky due to the similarity between the variable "x" and the multiplication symbol. To avoid confusion, use alternative methods like 2⋅x, 2(x), or 2x. Practice evaluating expressions by substituting given values for variables and following the order of operations. Sal Khan video https://cdn.kastatic.org/googleusercontent/ktQxtEIS88xXcToePo4nuRJMGsrWlUaS9br45MuAwXBTu7v9IBQei-LLD-qTcmsKKL7X8KJ8ahrPC9ne2cgsdNPk Why aren't we using the multiplication sign? In algebra, representing multiplication with variables can be tricky due to the similarity between the variable "x" and the multiplication symbol. To avoid confusion, use alternative methods like 2⋅x, 2(x), or 2x. Practice evaluating expressions by substituting given values for variables and following the order of operations. https://cdn.kastatic.org/ka-youtube-converted/vDaIKB19TvY.mp4/vDaIKB19TvY.mp4 298 Expressions using Letter-Numbers https://www.khanacademy.org/math/class-7-ncf/x063f95a40c290960:expressions-using-letter-numbers/x063f95a40c290960:omission-of-the-multiplication-symbol-in-algebraic-expressions/v/terms-factors-coefficients-indian-accent 2025-06-06T15:33:38.563209632Z 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. Skyloom (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw 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/-PNVp2DNccU.mp4/-PNVp2DNccU.mp4 441 Expressions using Letter-Numbers https://www.khanacademy.org/math/class-7-ncf/x063f95a40c290960:expressions-using-letter-numbers/x063f95a40c290960:omission-of-the-multiplication-symbol-in-algebraic-expressions/e/algebraic-expressions-6-a 2025-03-18T09:48:54.954250084Z Terms and coefficients Algebraic expressions ashish exercise https://www.khanacademy.org/math/class-7-ncf/x063f95a40c290960:expressions-using-letter-numbers/x063f95a40c290960:simplification-of-algebraic-expression-part-1/v/combining-like-terms-example_indian_accent 2025-06-06T15:33:38.563209632Z 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. Skyloom (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw 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/Q_ToNHcv2so.mp4/Q_ToNHcv2so.mp4 198 Expressions using Letter-Numbers 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 Expressions using Letter-Numbers https://www.khanacademy.org/math/class-7-ncf/x063f95a40c290960:expressions-using-letter-numbers/x063f95a40c290960:simplification-of-algebraic-expression-part-1/e/algebraic-expressions-6-b 2025-02-10T11:15:42.866710478Z Like and unlike terms Algebraic expressions ashish exercise https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-combining-like-terms/e/combining-like-terms-0.5 2022-07-28T09:36:48.454963052Z Combining like terms Simplify algebraic expressions by combining like terms. Cam exercise https://www.khanacademy.org/math/revision-mh-math-class-6/x01cb2212e31ce997:decimal-fractions/x01cb2212e31ce997:equations/v/writing-expressions-word-problems_indian_accent 2025-06-05T07:09:47.125536708Z Writing expressions word problems Learn how to write expressions with variables to describe situations described in word problems. Skyloom (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Writing expressions word problems Learn how to write expressions with variables to describe situations described in word problems. https://cdn.kastatic.org/ka-youtube-converted/_1-zJK74XA0.mp4/_1-zJK74XA0.mp4 256 Expressions using Letter-Numbers https://www.khanacademy.org/math/algebra-home/alg-intro-to-algebra/alg-manipulating-expressions/v/combining-like-terms-with-distribution 2021-05-13T16:59:25Z Combining like terms with distribution Learn to expand and simplify an expression like 3(5x+6) + (7x+2)*4. video https://cdn.kastatic.org/googleusercontent/Wnw91xVViP6EZpTl38VsaprD3V8wLxon6iRny3Jnsm_wZfdsiSCbrxsuUOUEV02XSRJ_S6xVA6XQ1UX8IC3pmfo Combining like terms with distribution Learn to expand and simplify an expression like 3(5x+6) + (7x+2)*4. https://cdn.kastatic.org/ka-youtube-converted/5WLjj7Z0AP0.mp4/5WLjj7Z0AP0.mp4 139 Expressions using Letter-Numbers 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/algebra/x2f8bb11595b61c86:foundation-algebra/x2f8bb11595b61c86:combine-like-terms/v/combining-like-terms-and-the-distributive-property 2021-06-30T17:51:06Z Combining like terms with negative coefficients & distribution We've learned about order of operations and combining like terms. Let's layer the distributive property on top of this. Sal Khan video https://cdn.kastatic.org/googleusercontent/KLKR36WH_Dj76-1GMWfT0KOyKFiWuO8Bvh-uisRnewnMOROJ5BmNijbJDnDBhJoYYV34nCcZeTltk0nAyABlhEEn Combining like terms with negative coefficients & distribution We've learned about order of operations and combining like terms. Let's layer the distributive property on top of this. https://cdn.kastatic.org/ka-youtube-converted/3NHSwiv_pSE.mp4/3NHSwiv_pSE.mp4 247 Expressions using Letter-Numbers https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:foundation-algebra/x2f8bb11595b61c86:combine-like-terms/e/combining_like_terms_2 2023-05-23T10:28:13.689545116Z Combining like terms with negative coefficients & distribution Practice combining like terms using the distributive property. These problems involve adding and subtracting negative numbers. Scott Menke exercise https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-alg-expression-word-problems/v/writing-basic-expressions-from-word-problems-examples 2023-05-23T10:28:13.689545116Z Writing basic expressions word problems Susie runs a race at 5 miles per hour for t hours. To find the distance, multiply her speed by time (5t). In a poker game, winnings are split among p players, so each gets $548/p. Phil's net winnings are x dollars minus the $100 entry fee. Hillary makes 48 chocolate chip cookies and y sugar cookies, totaling 48+y cookies. video https://cdn.kastatic.org/googleusercontent/LTneQe3n2GCHAys0Gopnglwq20j02E7fNmKWORot7VfK9egqB54NgcJNFoDp3Ab3tuHaLnUorA5j8M8K4Cv6Bk-T Writing basic expressions word problems Susie runs a race at 5 miles per hour for t hours. To find the distance, multiply her speed by time (5t). In a poker game, winnings are split among p players, so each gets $548/p. Phil's net winnings are x dollars minus the $100 entry fee. Hillary makes 48 chocolate chip cookies and y sugar cookies, totaling 48+y cookies. https://cdn.kastatic.org/ka-youtube-converted/lq-2gX3NKCM.mp4/lq-2gX3NKCM.mp4 189 Expressions using Letter-Numbers https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-interpreting-lin-exp/e/writing-basic-algebraic-expressions-word-problems-2 2025-08-18T06:16:05.32855841Z Writing expressions word problems Practice writing slightly more complex algebraic expressions to model real-world situations. Ben exercise