https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:multiply-monomial-polynomial/v/polynomials-intro 2025-10-15T19:00:54.271698668Z Polynomials intro This introduction to polynomials covers common terminology like terms, degree, standard form, monomial, binomial and trinomial. Polynomials are sums of terms of the form k⋅xⁿ, where k is any number and n is a non-negative integer. For example, 3x+2x-5 is a polynomial.  1. Hello Fren video https://cdn.kastatic.org/ka_thumbnails_cache/91aa542f-c981-4cbf-a28f-1ed4953978dc_1280_720_base.png Polynomials intro This introduction to polynomials covers common terminology like terms, degree, standard form, monomial, binomial and trinomial. Polynomials are sums of terms of the form k⋅xⁿ, where k is any number and n is a non-negative integer. For example, 3x+2x-5 is a polynomial.  https://cdn.kastatic.org/ka-youtube-converted/Vm7H0VTlIco.mp4/Vm7H0VTlIco.mp4 648 Equation and its Solution https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:multiply-monomial-polynomial/e/polynomials-intro 2025-10-28T06:00:53.736957809Z Polynomials intro Review your knowledge of basic terminology for polynomials: degree of a polynomial, leading term/coefficient, standard form, etc. Tomer Gal exercise https://www.khanacademy.org/math/grade-6-math-cambridge/x1977d7ef0ed7ac14:algebra/x1977d7ef0ed7ac14:polynomials/e/types-of-polynomial-1 2025-12-30T07:05:15.972746521Z Classify polynomials based on degree Classify polynomials based on degree ashish exercise https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:poly-factor/x2ec2f6f830c9fb89:poly-identities/v/polynomial-identities-intro 2023-09-22T17:29:21.127742448Z Polynomial identities introduction Polynomial identities are equal expressions involving polynomials. We can prove these identities through algebraic manipulation, like expanding and simplifying. This helps us see if two expressions are the same for all values of a variable, making them true polynomial identities. video https://cdn.kastatic.org/googleusercontent/7LXJNw5Y6f-uLqaQZUBWh6dqpyjYuT8v7b29i3DddG-Zc1Z2QFID190vWqMGJ3dWjYaGGk0MfpSycWBFAF9rA8S4 Polynomial identities introduction Polynomial identities are equal expressions involving polynomials. We can prove these identities through algebraic manipulation, like expanding and simplifying. This helps us see if two expressions are the same for all values of a variable, making them true polynomial identities. https://cdn.kastatic.org/ka-youtube-converted/EvNKKyhLSpQ.mp4/EvNKKyhLSpQ.mp4 296 Equation and its Solution https://www.khanacademy.org/math/revision-term-1-up-math-class-7/x626965769808ea32:week-2/x626965769808ea32:product-of-expressions-and-equations/e/product-of-expressions-and-identities-8-d 2025-02-13T04:57:25.728250847Z Verify if an expression is an identity Product of expressions and identities ashish exercise https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:poly-factor/x2ec2f6f830c9fb89:poly-identities/e/polynomial-identities 2021-07-29T22:44:48.94944018Z Polynomial identities Determine whether given polynomial identities are true, and whether given proofs of such identities are valid. Tomer Gal 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 Equation and its Solution 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/algebra/x2f8bb11595b61c86:solve-equations-inequalities/x2f8bb11595b61c86:linear-equations-variables-both-sides/v/equations-3 2023-09-21T22:20:18.864150437Z Intro to equations with variables on both sides Learn how to solve the equation 2x + 3 = 5x - 2 with the variable on both sides. We start by visualizing the equation, then isolate the variable by performing the same operations on both sides. Finally, we solve the equation to find the value of the variable. Sal Khan video https://cdn.kastatic.org/googleusercontent/bSvSLNTpzUk-WzbidKWo7Ovl-30QAFH5PaF4eubV3eauWGqOHslKdokFcpc2EZlXrzIBgmUsvrTXwqFPAVbeWy_LMg Intro to equations with variables on both sides Learn how to solve the equation 2x + 3 = 5x - 2 with the variable on both sides. We start by visualizing the equation, then isolate the variable by performing the same operations on both sides. Finally, we solve the equation to find the value of the variable. https://cdn.kastatic.org/ka-youtube-converted/f15zA0PhSek.mp4/f15zA0PhSek.mp4 533 Equation and its Solution https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:solve-equations-inequalities/x2f8bb11595b61c86:linear-equations-variables-both-sides/v/solving-equations-2 2023-09-21T22:20:18.864150437Z Equations with variables on both sides: 20-7x=6x-6 Solving equations like 20 - 7x = 6x - 6 with the variable on both sides involves a few steps! First, we add or subtract terms from both sides to separate constants and variables to different sides of the equation. Then, we simplify to isolate the variable. Finally, we check our answer by plugging it back into the original equation. Sal Khan video https://cdn.kastatic.org/googleusercontent/NW5p7h7ViFUcsKGBcschM9zdOmYIHqwvwvhrnLn_p7sn_hV-eutPUtfFTyfpU-kL1y8Zbgg9jQAxw5SmqkED2LEj_A Equations with variables on both sides: 20-7x=6x-6 Solving equations like 20 - 7x = 6x - 6 with the variable on both sides involves a few steps! First, we add or subtract terms from both sides to separate constants and variables to different sides of the equation. Then, we simplify to isolate the variable. Finally, we check our answer by plugging it back into the original equation. https://cdn.kastatic.org/ka-youtube-converted/1c5HY3z4k8M.mp4/1c5HY3z4k8M.mp4 246 Equation and its Solution https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:solve-equations-inequalities/x2f8bb11595b61c86:linear-equations-variables-both-sides/v/solving-equations-with-the-distributive-property-2 2023-09-15T05:13:15.999416188Z Equation with variables on both sides: fractions To solve the equation (3/4)x + 2 = (3/8)x - 4, we first eliminate fractions by multiplying both sides by the least common multiple of the denominators. Then, we add or subtract terms from both sides of the equation to group the x-terms on one side and the constants on the other. Finally, we solve and check as normal. Sal Khan video https://cdn.kastatic.org/googleusercontent/PW_RdA8tyQVshcjQN8ftClNkwS7T6Og5J5kNtyhvj-O-Ef7gGWGtANmwYdjWroc3_z1IuI2g_-Fc4dWdCdNfQ7U Equation with variables on both sides: fractions To solve the equation (3/4)x + 2 = (3/8)x - 4, we first eliminate fractions by multiplying both sides by the least common multiple of the denominators. Then, we add or subtract terms from both sides of the equation to group the x-terms on one side and the constants on the other. Finally, we solve and check as normal. https://cdn.kastatic.org/ka-youtube-converted/PL9UYj2awDc.mp4/PL9UYj2awDc.mp4 290 Equation and its Solution https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:solve-equations-inequalities/x2f8bb11595b61c86:linear-equations-variables-both-sides/e/linear_equations_3 2025-02-18T07:52:09.551150445Z Equations with variables on both sides Practice solving one-variable equations like 20 - 7x = 6x - 6, where the variable appears on both sides of the equals sign. Ben Stenhaug exercise https://www.khanacademy.org/math/revision-term-1-ka-math-class-8/x36423c781f0794f3:week-1/x36423c781f0794f3:linear-equations-in-one-variable/v/reducing-equations-to-simpler-form 2024-12-27T06:55:49.062829154Z Reducing equations to simpler form In this video we look at equations which can be reduced to simpler form and the general technique behind it. Devashish Phadnis video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Reducing equations to simpler form In this video we look at equations which can be reduced to simpler form and the general technique behind it. https://cdn.kastatic.org/ka-youtube-converted/oyEw41nEfRk.mp4/oyEw41nEfRk.mp4 301 Equation and its Solution https://www.khanacademy.org/math/in-class-10-math-foundation-hindi/x0e256c5c12062c98:linear-equations-hindi/x0e256c5c12062c98:equations-in-1-variable-hindi/e/equations-convertible-to-linear 2025-08-16T17:09:45.355682094Z Solving equations reducible to linear form Solving equations reducible to linear form ashish exercise https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-linear-eq-word-probs/v/application-problems-with-equation-in-one-variable 2021-07-02T09:35:29Z Two-step equation word problem: garden Here's a nifty word problem in which we find the dimensions of a garden given only the perimeter. Let's create an equation to solve! Sal Khan video https://cdn.kastatic.org/googleusercontent/uti_w9XD0GpSP8uDTpPx8trtjAh_uqwK6EbrrV5yRp9KRfUCmxUSrmrbviaGKG1PTqFYOhr7sisbZHu5am3UaccO Two-step equation word problem: garden Here's a nifty word problem in which we find the dimensions of a garden given only the perimeter. Let's create an equation to solve! https://cdn.kastatic.org/ka-youtube-converted/iimpwYBiKNg.mp4/iimpwYBiKNg.mp4 122 Equation and its Solution https://www.khanacademy.org/math/kn-math-class-9-bridge/x14595f36277e97c8:rational-numbers-and-linear-equations/x14595f36277e97c8:solving-linear-equations/e/word-problems-linear-equations--basic- 2026-01-23T08:40:34.486977025Z Word problems linear equations (basic) Equations convertible to linear ashish exercise https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-solving-equations/linear-equations-word-problems/v/sum-consecutive-integers 2023-04-19T21:01:17.089483175Z Sums of consecutive integers When solving a math problems involving consecutive integers, we can use algebra to set up an equation to solve for the smallest of the four integers. Sal Khan video https://cdn.kastatic.org/googleusercontent/bppmTTchB8DkQmG8aE0klC9vJpFjEaYx0QaTMhYsQW3GmpHGUUgXp-9YI385qs1zbhdEm_l1mSXtwAiv-l648T5bRw Sums of consecutive integers When solving a math problems involving consecutive integers, we can use algebra to set up an equation to solve for the smallest of the four integers. https://cdn.kastatic.org/ka-youtube-converted/8CJ6Qdcoxsc.mp4/8CJ6Qdcoxsc.mp4 319 Equation and its Solution https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-solving-equations/linear-equations-word-problems/e/integer_sums 2024-05-31T18:50:21.030422474Z Sums of consecutive integers Practice finding the nth number in a sequence of consecutive numbers based on the sum. Peter Collingridge exercise https://www.khanacademy.org/math/class-8-od/x97648b3e69d960e3:equation-and-its-solution-odia-class-8/x97648b3e69d960e3:quadratic-equation-and-its-solution-odia-class-8/e/quadratic-equation-8-a 2025-01-30T02:03:08.999023639Z Solving quadratic equations of the type x²=k Quadratic equation ashish exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:quadratics-solve-factoring/v/solving-quadratics-by-dividing-and-factoring 2022-10-06T23:01:00.745424633Z Solving quadratics by factoring: leading coefficient ≠ 1 Sal solves 6x²-120x+600=0 by first dividing by 6 and then factoring. video https://cdn.kastatic.org/ka_thumbnails_cache/43007ffc-6270-47a0-a5c7-3642cb32dcda_1280_720_base.png Solving quadratics by factoring: leading coefficient ≠ 1 Sal solves 6x²-120x+600=0 by first dividing by 6 and then factoring. https://cdn.kastatic.org/ka-youtube-converted/KbFwLvCOBUI.mp4/KbFwLvCOBUI.mp4 275 Equation and its Solution https://www.khanacademy.org/math/class-8-od/x97648b3e69d960e3:equation-and-its-solution-odia-class-8/x97648b3e69d960e3:quadratic-equation-and-its-solution-odia-class-8/e/quadratic-equation-8-c 2025-01-30T02:03:08.999023639Z Quadratic equations of the type ax²+bx+c=0 Quadratic equation ashish exercise