https://www.khanacademy.org/math/7th-grade-matatag/x065dcf1640354e81:4th-quarter/x065dcf1640354e81:properties-of-equality-and-equations/v/properties-of-equality 2026-05-08T08:40:47.282363299Z Properties of equality Illustrate the properties of equality Khan Academy video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Properties of equality Illustrate the properties of equality https://cdn.kastatic.org/ka-youtube-converted/ftNE7k3lpZ8.mp4/ftNE7k3lpZ8.mp4 485 Properties of equality and equations https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-intro-equations/v/variables-expressions-and-equations 2023-06-30T02:13:42.781179102Z Variables, expressions, & equations In algebra, we use variables like x, y, and z to represent unknown values. Expressions are combinations of variables and numbers, while equations equate two expressions. Variables can take on different values depending on the context, and we can evaluate expressions by substituting values for the variables. Sal Khan video https://cdn.kastatic.org/googleusercontent/sjn6uuCg_VMBvqgKVdjnKMqrR0Ck6JEoDLwedxMk2E6WGPQzU00r5oY68BHBihk__NPNIC-e29cRLty1sTKrmxEMcA Variables, expressions, & equations In algebra, we use variables like x, y, and z to represent unknown values. Expressions are combinations of variables and numbers, while equations equate two expressions. Variables can take on different values depending on the context, and we can evaluate expressions by substituting values for the variables. https://cdn.kastatic.org/ka-youtube-converted/vDqOoI-4Z6M.mp4/vDqOoI-4Z6M.mp4 415 Properties of equality and equations 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 Properties of equality and equations https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-intro-equations/a/introduction-to-equations 2021-12-16T15:37:07.463764128Z Intro to equations Learn what an equation is and what it means to find the solution of an equation. article https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-intro-equations/e/testing-solutions-of-equations-inequalities 2026-06-16T18:49:02.793385027Z 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-expressions-and-variables/properties-of-numbers/a/properties-of-addition 2023-12-11T22:10:22.66384181Z Properties of addition Explore the commutative, associative, and identity properties of addition. article https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/properties-of-numbers/a/properties-of-multiplication 2021-06-28T22:10:45Z Properties of multiplication Explore the commutative, associative, and identity properties of multiplication. article https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-solving-equations/v/why-we-do-the-same-thing-to-both-sides-simple-equations 2023-06-14T19:01:04.581019455Z Same thing to both sides of equations In this fun math problem, we have a balanced scale with a mystery mass on one side and several 1-kilogram masses on the other. To find the mystery mass, we remove the same number of 1-kilogram masses from both sides, keeping the scale balanced. Then, we can easily determine the mystery mass's weight. Sal Khan video https://cdn.kastatic.org/googleusercontent/mDbW5Kliflbv-kdPwZxHt6-TvT7sOetoTp5u49jMZCRw9jyGA5dZTjuSAJVsBfLD_oEbnP_nBWgEloxxDS0uDGA Same thing to both sides of equations In this fun math problem, we have a balanced scale with a mystery mass on one side and several 1-kilogram masses on the other. To find the mystery mass, we remove the same number of 1-kilogram masses from both sides, keeping the scale balanced. Then, we can easily determine the mystery mass's weight. https://cdn.kastatic.org/ka-youtube-converted/5FBDqY41GjU.mp4/5FBDqY41GjU.mp4 152 Properties of equality and equations https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-solving-equations/v/representing-a-relationship-with-a-simple-equation 2023-06-30T02:13:42.781179102Z Representing a relationship with an equation In this lesson, we learn about balancing scales and solving equations. We discover that to find a mystery mass, we can set up an equation using equal signs and balance both sides. By subtracting the same amount from each side, we can solve for the unknown mass, helping us understand the relationship between the two sides of the scale. Sal Khan video https://cdn.kastatic.org/googleusercontent/IFLGgA9RIMTjYoG_ClYp-VrgjWcI3SX0N8kkzPi3JbXIcHCRIRqmBFrdESNQ0gTG78uDv4v7vqF7F6fgtbRulICk Representing a relationship with an equation In this lesson, we learn about balancing scales and solving equations. We discover that to find a mystery mass, we can set up an equation using equal signs and balance both sides. By subtracting the same amount from each side, we can solve for the unknown mass, helping us understand the relationship between the two sides of the scale. https://cdn.kastatic.org/ka-youtube-converted/XN48Ba9Ncr8.mp4/XN48Ba9Ncr8.mp4 204 Properties of equality and equations https://www.khanacademy.org/math/algebra-home/alg-basic-eq-ineq/alg-old-school-equations/v/solving-for-a-variable 2023-11-15T19:12:44.061361401Z Solving an equation for a variable The perimeter of a rectangle is equal to 2 times the length plus 2 times the width. We can solve for the length by isolating it on one side of the equation. We do this by subtracting 2 times the width from both sides, and then dividing both sides by 2. This gives us the formula for the length. Sal Khan video https://cdn.kastatic.org/googleusercontent/AD_5bDSm3hEPKltqtrepqYu3xLvodFs7jkNnN9c6PkCaTC4eFuVvvKHKaCXZxo5zWeXCu_6YJvgS4mX6FTSqpmQ Solving an equation for a variable The perimeter of a rectangle is equal to 2 times the length plus 2 times the width. We can solve for the length by isolating it on one side of the equation. We do this by subtracting 2 times the width from both sides, and then dividing both sides by 2. This gives us the formula for the length. https://cdn.kastatic.org/ka-youtube-converted/fnuIT7EhAvs.mp4/fnuIT7EhAvs.mp4 84 Properties of equality and equations https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-solving-equations/v/one-step-equation-intuition 2023-06-30T02:13:42.781179102Z One-step equations intuition In this math lesson, we learn how to solve a balance scale problem with unknown mass. We represent the problem using an algebraic equation, 3x = 9, where x is the unknown mass. By dividing both sides by 3, we find that x = 3, meaning each object has a mass of 3 kilograms. Sal Khan video https://cdn.kastatic.org/googleusercontent/hNkL2m5CQTMTDzu21O9aByC7pPGy8aeBQt0Pd4f6iIru01VsOFpn0Gr74JXY9i-vAimlRgF7ZQwhQTIyMVZC0QX7 One-step equations intuition In this math lesson, we learn how to solve a balance scale problem with unknown mass. We represent the problem using an algebraic equation, 3x = 9, where x is the unknown mass. By dividing both sides by 3, we find that x = 3, meaning each object has a mass of 3 kilograms. https://cdn.kastatic.org/ka-youtube-converted/kbqO0YTUyAY.mp4/kbqO0YTUyAY.mp4 279 Properties of equality and equations https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-solving-equations/e/visualize-equations 2023-12-11T22:10:22.66384181Z Solve equations from visual models Use a visual model of an equation to solve for the unknown in the equation.   Lindsay exercise https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-solving-equations/e/identify-and-solve-equations-from-visual-models 2026-07-02T18:20:48.459369679Z Identify equations from visual models (tape diagrams) Identify the equation represented by a tape diagram. Then, solve for the unknown in the equation. Lindsay exercise https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-solving-equations/e/identify-equations-from-visual-models 2025-09-17T22:00:43.586895114Z Identify equations from visual models (hanger diagrams) Identify the equation represented by a  hanger diagram. Then, solve for the unknown in the equation. Lindsay exercise https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-one-step-add-sub-equations/v/adding-and-subtracting-the-same-thing-from-both-sides 2023-06-30T02:13:42.781179102Z One-step addition & subtraction equations In this lesson, we learn how to solve simple equations with one unknown variable. To find the unknown, we remove extra numbers by doing the opposite operation on both sides of the equation. This keeps the equation balanced and helps us find the value of the unknown variable. Sal Khan video https://cdn.kastatic.org/googleusercontent/cdp4OlPKooa8Se7XYv-HSPjrCdy-DQ4JieroHPA2scutua32p1OqHf4HGlpUipe6AAMLFB_amIHVAzaKRog46zgR One-step addition & subtraction equations In this lesson, we learn how to solve simple equations with one unknown variable. To find the unknown, we remove extra numbers by doing the opposite operation on both sides of the equation. This keeps the equation balanced and helps us find the value of the unknown variable. https://cdn.kastatic.org/ka-youtube-converted/jWpiMu5LNdg.mp4/jWpiMu5LNdg.mp4 129 Properties of equality and equations 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 Properties of equality and equations https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-one-step-add-sub-equations/a/solving-one-step-addition-and-subtraction-equations 2021-06-30T17:51:07Z One-step addition & subtraction equations Learn to solve equations like "x + 3 = 9" or "y  - 5 = 8". article 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-add-sub-equations/v/examples-of-one-step-equations-with-fractions-and-decimals 2023-06-30T02:13:42.781179102Z One-step addition & subtraction equations: fractions & decimals In this math lesson, we practice solving equations with variables and fractions. We learn to isolate the variable by adding or subtracting terms from both sides of the equation. This helps us find the value of the variable, making the equation true. Keep practicing and have fun! video https://cdn.kastatic.org/googleusercontent/EAf_H26O1gYbaQ9QruovQdGYRZqaid0GE9YE_CQPCXYUvuTjzpB5S9A3K00gIIXOTJU0pm5QOgy91sm3Fi_otrVD One-step addition & subtraction equations: fractions & decimals In this math lesson, we practice solving equations with variables and fractions. We learn to isolate the variable by adding or subtracting terms from both sides of the equation. This helps us find the value of the variable, making the equation true. Keep practicing and have fun! https://cdn.kastatic.org/ka-youtube-converted/XD-FDGdWnR8.mp4/XD-FDGdWnR8.mp4 272 Properties of equality and equations https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-one-step-add-sub-equations/e/one-step-add-sub-equations-2 2025-02-10T05:04:39.155459793Z One-step addition & subtraction equations: fractions & decimals Practice solving equations in one step by adding or subtracting a number from both sides. These problems involve decimals and fractions. Ben exercise https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-one-step-mult-div-equations/v/simple-equations 2023-06-30T02:13:42.781179102Z One-step division equations In this lesson, we learn how to solve simple algebraic equations systematically. We focus on understanding the meaning of equations, like 7x = 14, and using techniques like dividing both sides of the equation by the coefficient to isolate the variable. This method helps us find the value of the unknown variable, making algebra easier and more approachable. Sal Khan video https://cdn.kastatic.org/googleusercontent/H046477yRoXhje5ES_pi-tWs9EPuF4mn76jgQLzmntnDPcoT-VECHeFLuTEDJ0bVm_IlX9yQMw1ozz2O8RX-doxlOw One-step division equations In this lesson, we learn how to solve simple algebraic equations systematically. We focus on understanding the meaning of equations, like 7x = 14, and using techniques like dividing both sides of the equation by the coefficient to isolate the variable. This method helps us find the value of the unknown variable, making algebra easier and more approachable. https://cdn.kastatic.org/ka-youtube-converted/9Ek61w1LxSc.mp4/9Ek61w1LxSc.mp4 666 Properties of equality and equations https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-one-step-mult-div-equations/v/solving-one-step-equations-2 2023-06-30T02:13:42.781179102Z One-step multiplication equations In this math lesson, we learn to solve equations with x divided by a number, like x/3 = 14. To find x, we isolate it by multiplying both sides of the equation by the divisor (3). This gives us x = 42. Finally, we check our answer by substituting x back into the original equation to make sure it's correct. Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/3d7fae72-bf00-4140-b90a-8a7eac0a6511_1280_720_base.png One-step multiplication equations In this math lesson, we learn to solve equations with x divided by a number, like x/3 = 14. To find x, we isolate it by multiplying both sides of the equation by the divisor (3). This gives us x = 42. Finally, we check our answer by substituting x back into the original equation to make sure it's correct. https://cdn.kastatic.org/ka-youtube-converted/DqeMQHomwAU.mp4/DqeMQHomwAU.mp4 143 Properties of equality and equations https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-one-step-mult-div-equations/a/solving-one-step-multiplication-and-division-equations 2021-06-30T17:51:05Z One-step multiplication & division equations Learn to solve equations like "4x = 20" or "y/3 = 7". article https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-one-step-mult-div-equations/e/linear_equations_1 2026-02-18T21:10:37.070672468Z One-step multiplication & division equations Practice solving equations in one step by multiplying or dividing a value from both sides. Marcia Lee exercise