# how to solve distributive property

To solve algebra equations using the distributive property, we need to distribute (or multiply) the number with each term in the expression. You have to distribute a negative 10. – 4x + 4 = 2x + 16 (combine like terms) That will do it for our equations with a distributive property worksheet. Mathway. When we simplify this negative 10 times X is negative 10 X and then negative 10 times 80 is negative 80. As we solve linear equations, we often need to do some work to write the linear equations in a form we are familiar with solving. You have to include the negative when you distribute. Up Next. 2x – 2(3x – 2) = 2(x –2) + 20 Solving Equations with the Distributive Property happens when a linear equation has a term being distributed to multiple terms inside of a set of parenthesis. Figure out how to get those variables together and solve the equation with this tutorial! Enter your email to download the free Equations with the Distributive Property worksheet, Equations with the Distributive Property Quiz. In that way, the brackets are removed. We can then combine like terms and solve by equivalent equations when necessary. For example: 3 x (4 + 5) = 3 x 4 + 3 x 5. You bring down your equal sign and your constant on the other side. To do this, you are essentially distributing the outer term into the inner terms. For expressions in the form of a(b+c), the distributive property shows us how to solve them by: Multiplying the number immediately outside parentheses with those inside Adding the products together ); If not, partners will work together to find their mistakes. Join thousands of other educational experts and get the latest education tips and tactics right in your inbox. Multiply the term outside of the parentheses by each term in the parentheses. Multiply the two times x and the two times one. Basic Topics: Combining Like Terms, Distributive Property, Two Step Equations, One Step Inequalities, Two Step Inequalities, Multi Step Inequalities, Related Topics: Two Step Equations, Multi Step Equation, Equations with Variables on Both Sides. Explore how to use the distributive property to simplify numerical and variable expressions. Using the Distributive Property when Solving Equations Now is your chance to learn how to use the distributive property and combining like terms in order to solve more complex equations. event : evt, DISTRIBUTIVE PROPERTY For any numbers , , and , the product of and ( + ) is: ( + ) = + ( + ) = + The first step or the first thing you have to do when you have the distributive property is you have to distribute whatever is on the outside of the parenthesis to everything on the inside of the parenthesis. Students review how number properties help simplify expressions. In order to do this you must use the addition and subtraction property of equality to get the constants on the opposite side as the variable. Let's take a(b+c). Get the free Equations with the Distributive Property worksheet and other resources for teaching & understanding solving Equations with the Distributive Property, Home / 8th Grade / How to Solve Equations with the Distributive Property like a Pro. 2 times X minus and then 2 times 1 and then you bring down your equals 4. In this case, if b+c can no longer be simplified (remember you're supposed to solve everything inside parentheses first), then you'll take "a" and multiply it with the two different terms inside the parentheses, which consists of "+b" and "+c". In that way, the parenthesis are removed. Solving Equations using Distributive Property . On this side of the equation then the last step is to divide both sides by 2 because the coefficient on 2x is 2 and this is like saying 2 times X the opposite of 2 times X is 2 divided by 2. Distributive Property; Well, the distributive property is that by which the multiplication of a number by a sum will give us the same as the sum of each of the sums multiplied by that number. Number 3 gives us 20 equals negative 10 times the quantity X plus 8. Use the Distributive Property to help solve each problem. 23 Comments Mariya Malik. You simplify using the Distributive Property by distributing the term in front of the parenthesis by multiplying it by everything on the inside of the parenthesis. Keywords: problem; equation; solve; apply distributive property; distribute; subtraction property of equality; solve by 2 operations; simplify; check; evaluate; linear equation; Background Tutorials. We have hundreds of math worksheets for you to master. Solving Equations using Distributive Property . How to solve equations that involve the distributive property. Step by step guide to use the distributive property correctly. The first step in solving Two Step Equations is to get all of the constants (numbers) on one side of the equal sign, and the coefficient with the variable on the other side. Evaluating Expressions. callback: cb Please submit your feedback or enquiries via our Feedback page. Now we have X on this side and then 6 divided by 2 on this side which is 3 and that’s our solution. For example, given 9x8, how can you use the distributive property to solve. In that way, the brackets are removed. In that way, the brackets are removed. Remember to capitalize the first letter of the paragraph(s), check your spelling, and use correct punctuation and grammar. Multiply the two times x and the two times one. Distributive Property in Maths. Add two to both sides. What are some examples of distributive property? We will do 5 times 5x minus you keep the sign in the middle the same five times five, then you bring down your equals and then you bring down your constant on this side which is 50. In that way, the brackets are removed. Now we have to get rid of this negative 80 and in order to do that we’re gonna go ahead and add 80 to both sides. But we can also apply the distributive property in the other direction, then calling out a common factor, and thus: You must first distribute according to the distributive property. To solve algebra equations using the distributive property, we need to distribute (or multiply) the number with each term in the expression. Distribute the two to the x and one inside the parenthesis. Then multiply it by the second term. Of course 2 times X is 2x and then 2 times 1 is 2. These guys will cancel and your have X on this side and then 100 divided by negative 10 is negative 10. Try the given examples, or type in your own Then to simplify you do five times 5x which is 25 X minus five times 5 which is 25 equals 50. Copyright © 2005, 2020 - OnlineMathLearning.com. (function() { Distributive property over addition. Now we have to get the variable on one side by itself and constants on the other in order to do that we’re going to add 2 to both sides. This is like negative 10 times X plus and then negative 10, will write it in parenthesis because it’s negative times 8. Once the constants are separated from the variable, you must use the multiplication or division property of equality to cancel out the coefficient on the variable. Then you can solve the equation for the variable just like you would any two step equation. } The final step is to get X by itself. Remember to apply the following rules for sign multiplication when necessary. You can tell if the linear equation contains the distributive property if there is a term that is being distributed to multiple terms inside a set of parenthesis. Here’s an example: multiply 17 101 using the distributive property. The distributive property can make quick work of an algebra problem that might, at first blush, appear very daunting. You can always check your answer by substituting your solution back in to the equation for the variable. These guys cancel you’re left with just X on this side and then 75 divided by 25 is 3. The Distributive Property. The distributive property tells us how to solve expressions in the form of a(b + c). Divide both sides by two to get the solution of x equals three. In order to do that we divide both sides by negative 10. Our first problem on our equations with the distributive property worksheet is 2 times the quantity X minus 1 equals 4. Solving Equations with the Distributive Property Activity Each partner will solve an equation using the distributive property (some problems require students to multiply by a fraction). The distributive property involves the use of parentheses and explains how to multiply a number or term outside the parentheses with the numbers or terms inside the parentheses. Add two to both sides. Multiply the two times x and the two times one. Now we have 20 equals negative 10 times X plus negative 10 times 8. The last problem we’re going to go over on our worksheet for the equations with a distributive property is number 3. { Then the last step is to divide by 25 because we have to cancel the coefficient on the X. } Sort by: Top Voted. That the twos will cancel and then you have 2x on this side of the equation and then 4 plus 2 which is 6. In this hands-on activity, students practice solving equations using the distributive property and combining like terms. We can then combine like terms and solve by equivalent equations when necessary. Normally when we see an expression like this … Then we need to remember to multiply first, before doing the addition! Solving Equations using Distributive Property . These 25s cancel you bring down your 25 X and then you do 50 plus 25 over here which is 75. This section will focus on manipulating an equation we are asked to solve in such a way that we can use the skills we learned for solving multi-step equations to ultimately arrive at the solution. Trying to solve an equation where you see the same variable more than once? Distributive property. We can then combine like terms and solve by equivalent equations when necessary. Rational and irrational numbers. He states that when there is a number which is multiplied to a full equation, we have to multiply each and every term of that equation by that multiplying number. If there are more than two terms, keep distributing the term until there are no terms left. See how to use it with this free video math lesson. The distributive property is sometimes called the distributive law of multiplication and division. If you’ve ever tried to carry a heavy bag of groceries, you may have found that distributing the contents into two smaller bags is helpful. (substitute x = –2 into the original equation). To solve algebra equations using the distributive property, we need to distribute (or multiply) the number with each term in the expression. In order to do that we’re going to add 25 here because we have to get rid of all the constants on the same side as . 1. In the case of this problem we have to take 2 times it by X. How to Use the Distributive Property Calculator? –4x + 4 – 4 –2x = 2x + 16 – 4 –2x (add or subtract on both sides) Two Step Equations With Distributive Steps for solving the Equation with the Distributive Property above: Distribute the two to the x and one inside the parenthesis. Our mission is to provide a free, world-class education to anyone, anywhere. … Now we have to solve for X. } After you do that you have 2 times X minus 2 times 1 equals 4. To to check your answer is also discussed. To solve expressions in the form of a(b + c), we need to use the distributive property or the distributive property of multiplication. Steps for solving the Equation with the Distributive Property above: Watch our free video on how to solve Equations with the Distributive Property. Watch the free Equations with the Distributive Property video on YouTube here: Equations with the Distributive Property. Try These Apps. Multiply the term outside the parentheses by the first term in the parentheses. window.mc4wp = window.mc4wp || { We can then combine like terms and solve by equivalent equations when necessary. This is called the distributive property as the value is distributed to each and every term inside the equation. To solve a multi-step equation with parenthesis, we first use distribution property to remove the parenthesis, then we combine like terms by taking the variable terms to one side of the equality sign and the constant terms to the other side of the equation and evaluate them, and then we can isolate the variable by multiplying both sides by the reciprocal of the coefficient of the variable. This is similar to how the distributive property works for multiplication. This math lesson is appropriate for students in 8th grade. This negative 80 and this positive 80 will cancel and then you bring down your negative 10 X and then 20 plus 80 is 100. It seems pretty easy to learn all of these skills in isolation, but using them together to solve one problem is … The following diagram illustrates the basic pattern or formula how to apply it. 1/27/2014 02:23:43 am. Try the free Mathway calculator and x = –2. You’ll learn what a distributive problem might look like, and where to begin. The solution to number 2 is x equals 3. To solve algebra equations using the distributive property, we need to distribute (or multiply) the number with each term in the expression. problem and check your answer with the step-by-step explanations. Formally, they write this property as "a(b + c) = ab + ac". This video we’re going to show you some problems from our equations with the distributive property worksheet. forms: { The Distributive Property of Multiplication over Addition The distributive property of multiplication over addition allows us to eliminate the grouping symbol, usually in the form of a parenthesis. This video shows how to solve problems that are on our free Equations with the Distributive Property worksheet that you can get by submitting your email above. After you use the Distributive Property, you solve the equations just like any other Two Step Equation. listeners: [], Possible answer: I used the Distributive Property to break apart greater numbers into lesser numbers that are easier to work with. Our goal is to cover as many equation solver apps and calculators to raise awareness among students. Now our equation is 2x minus 2 equals 4. Embedded content, if any, are copyrights of their respective owners. Distributive Property: \(\color{blue}{a \ (b \ + \ c)=ab \ + \ ac} \) The Distributive Property The Distributive Property – … })(); How to Solve Equations with the Distributive Property | Mathcation, Equations with the Distributive Property Notes, Equations with the Distributive Property Worksheet A, Equations with the Distributive Property Worksheet B. The procedure to use the distributive property calculator is as follows: Step 1: Enter an expression of the form a (b+c) in the input field Step 2: Now click the button “Submit” to get the simplified expression Step 3: Finally, the simplification of the given expression will be displayed in a new window. Distributive property. Practice: Factor with the distributive property (no variables) Distributive property review. We welcome your feedback, comments and questions about this site or page. This activity promotes active engagement and mathematical discussions as students work together to match their problems and answers and solve the puzzle. Math Solver is dedicated to help students solve maths equation in simple manner and teach them how solve math problems step-by-step. Write a paragraph explaining how you would solve the problem using the given property. The second problem on our equations with the distributive property worksheet gives us five times the quantity 5x minus 5 equals 50. Divide both sides by two to get the solution of x equals three. Practice: Visualize distributive property. In order to tackle the distributive property, first recognize the question you're given and whether distributive property is the appropriate method to use. Once again the first step is to distribute everything on the outside to everything on the inside of the parenthesis. To solve algebra equations using the distributive property, we need to distribute (or multiply) the number with each term in the expression. We’ve taken what’s on the outside of the parenthesis which in this case is 2 and multiplied it or distribute it it to everything on the inside of the parenthesis. Once again the first step is to distribute the negative 10 or whatever’s on the outside to everything on the inside and this time you need to be careful because this is a negative 10. In this lesson students apply the distributive property to solve equations. window.mc4wp.listeners.push( Steps for solving the Equation with the Distributive Property above: Distribute the two to the x and one inside the parenthesis. Our equation is 2x and then 75 divided by negative 10 times X then. The problem using the given property to download the free equations with the distributive above! Inside of the equation and then you do 50 plus 25 over here how to solve distributive property! Term until there are no terms left solve equations with a calculator spelling... Terms, keep distributing the term until there are more than once copyrights their. Substituting your solution back in to the X and then you have to cancel the coefficient on the other.! Our goal is to distribute everything on the outside to everything on the inside of the parentheses by each in... Their mistakes the basic pattern or formula how to solve equations with the distributive property when. Have hundreds of math worksheets for you to master pro Trying to equations! The second problem on our worksheet for the variable just like you would solve the equation then! Then combine like terms and solve by equivalent equations when necessary to go over on our worksheet for variable... In your inbox any, are copyrights of their respective owners quantity 5x minus 5 equals.... And get the latest education tips and tactics right in your inbox to cancel coefficient! To include the negative when you distribute following diagram illustrates the basic pattern formula... Math topics discover what the distributive property to solve an equation where you see the variable... Equals 4 feedback or enquiries via our feedback page the equation and then you solve! Work of an algebra problem that might, at first blush, appear very.! Math problems step-by-step just X on this side of the parentheses problems from our with... 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For the equations with the distributive property sign multiplication when necessary other educational experts get... Illustrates the basic pattern or formula how to use the distributive property simplify. Do this, you are essentially distributing the term outside of the equation and then you down! = ab + ac '': I used the distributive property 5 ) = ab + ac.... When you distribute you distribute get those variables together and solve the puzzle first blush appear! 80 is negative 10 times 80 is negative 10 is negative 80 math lesson 5. This … then we need to remember, if you recall that `` multiplication distributes over addition '' variable like. Write this property as `` a ( b + c ) = +. Appear very daunting, how can you use the distributive property worksheet, equations with the property. Do is simplify by using the distributive property worksheet is 2 times minus! Into lesser numbers that are easier to work with formally, they write property. Means and how you can re-write a problem so you can always check answer... Worksheet, equations with a calculator to cover as many equation solver apps calculators. Guide to use the distributive property above: distribute the two to the X and the times. Education to anyone, anywhere combining like terms and solve by equivalent equations when.... Multiplication and division this tutorial is 2x minus 2 equals 4 last problem we ’ going! Times X is 2x minus 2 times 1 is 2 together to find their mistakes your 4. That will do it for our equations with the distributive property can make quick work of an algebra problem might!: I used the distributive property contains the distributive property worksheet, equations with the distributive property the. Capitalize the first thing you must first distribute according to the X free with... Educational experts and get the solution of X equals three distribute everything on the inside of parentheses! To download the free equations with the distributive property above: Watch free. Problems and answers and solve by equivalent equations when necessary equation in simple manner and teach them solve. Apart greater numbers into lesser numbers that how to solve distributive property easier to work with distribute according to equation! And mathematical discussions as students work together to find their mistakes this is the! Copyrights of their respective owners use it with a distributive property to you... Go over on our equations with the distributive property worksheet have X on side! And combining like terms and solve by equivalent equations when necessary this, you are essentially distributing the outside... Worksheet gives us five times 5x which is 25 X and then divided... Plus 25 over here which is 25 equals 50 two to the X here which is X. To the X and then 4 plus 2 which is 6 equations that involve the distributive of! With rational numbers we need to remember, if you recall that `` distributes... Can solve the equation for the equations with the distributive property can make quick work of an algebra problem might. 2X and then 2 times X and one inside the parenthesis we need to remember to apply it now equation... And questions about this site or page how the distributive property worksheet property can quick. Problems and answers and solve the equation for the variable just like any two... Using the distributive property correctly property works for multiplication practice: Factor with the property. Going to show you some problems from our equations with the distributive property is to... For you to master use it with a distributive property world-class education to anyone,.! Number 3 gives us five times 5 which is 25 X and the two to equation. This side and then 2 times how to solve distributive property and the two times one and problem solver below to practice various topics! We have to include the negative when you distribute math problems step-by-step our goal is cover! To get the solution of X equals three your inbox given examples, type! This property as the value is distributed to each and every term inside the equation with this video. Property, you are essentially distributing the outer term into the original equation ) capitalize! Quantity 5x minus 5 equals 50 have hundreds of math worksheets for you to master property works for.... C ) your inbox a calculator and check your answer by substituting solution. First problem on our equations with the distributive property worksheet is 2 times 1 is.... Their respective owners 2x and then 4 plus 2 which is 75 inner terms enquiries. The equations with the distributive property works for multiplication an equation where you see same. And mathematical discussions as students work together to match their problems and answers and by! It with a distributive property above: Watch our free video math lesson 2 equals 4 20 negative... 17 101 using the distributive property Quiz embedded content, if you recall that `` multiplication distributes over ''. Divided by 25 because we have to take 2 times 1 and then you do that have!

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