[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-507990-105":59,"doc-detail-507990-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","adding-and-subtracting-polynomials-practice-progress-succeed","Adding and Subtracting Polynomials - Practice - Progress - Succeed","","Adding and subtracting polynomials worksheet content focuses on simplifying expressions by combining like terms. It includes an example that demonstrates distributing a minus sign across a second polynomial before combining like terms. A quick review explains the rule for adding or subtracting polynomials and introduces a set of word problems involving path lengths, rectangle perimeters, and profit calculations. An answer key and step-by-step explanations support self-checking.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/adding-and-subtracting-polynomials-practice-progress-succeed/507990/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/adding-and-subtracting-polynomials-practice-progress-succeed/507990.png","ImageObject",300,407,{"name":92,"@type":93},"Blitz","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-05",true,{"@type":102,"interactionType":103,"userInteractionCount":29},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you subtract polynomials correctly?","Question",{"text":112,"@type":113},"Distribute the minus sign to every term in the second polynomial so each sign flips, then combine like terms.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What does “combine like terms” mean in this worksheet?",{"text":117,"@type":113},"Combine terms that share the same variable and exponent, adding or subtracting their coefficients.",{"name":119,"@type":110,"acceptedAnswer":120},"What types of word problems appear?",{"text":121,"@type":113},"The worksheet includes applications such as total path length, rectangle perimeter, and profit expressed as revenue minus cost.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},507990,1791759787,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":29,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":39,"preview_page_count":4},24464137899374,"https://us-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Practice 􀀏 Progress 􀀏 Succeed | TSIA2 Math  \n~~ ~~  [E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \nAdding and Subtracting Polynomials  \n\n| Name:   | D | ate:   | S | core:   / 18 |\n| --- | --- | --- | --- | --- |\n\n▷ Example: Simplify (3x2 + 5x) 􀀀 (x2 􀀀 2x) . Work: Distribute the minus sign: 3x2 + 5x 􀀀 x2 + 2x. Combine like terms: (3x2 􀀀 x2 ) +(5x + 2x) . ⋆ Answer: 2x2 + 7x  \n= 2x2 + 7x  \nCombine like terms column by column.  \nQuick Review and Helpful Hints  \nAdd or subtract polynomials by combining like terms – terms with the same variable and exponent. When subtracting, 􀀂rst distribute the minus sign to every term in the second polynomial (it 􀀃ips each sign), then combine.  \n♦ Word Problems  \n15. One side of a path is (2x + 3) m and another is (x + 5) m. Write their total length, simpli􀀂ed.  \n16. A rectangle has sides (3x + 1) and (x + 2) . Simplify 2[(3x + 1) + (x + 2)] for its perimeter.  \n17. Pro􀀂t is revenue (5x2 + 20x) minus cost (2x2 + 8x + 10) . Write the pro􀀂t, simpli􀀂ed.  \n18. Add the polynomials (x2 + x) and (3x2 􀀀 4x + 2) .  \n[E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \n1  \nScan Me  \nPractice 􀀏 Progress 􀀏 Succeed | TSIA2 Math  \n~~ ~~  [E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \nAnswer Keys  \n1. 8x + 5 7.  5y3 􀀀 2y + 3  13. 2a   \n2. 6x + 7 8. 0 14.  3x2 + 2x 􀀀 4   \n3. 3x2 + 3x + 3 9.  3x2 + 2xy + y 2  15. 3x + 8  \n4. 7a + 5 10. 6p 􀀀 10 16. 8x + 6  \n5. 4x2 􀀀 4x + 5 11. 5x2 + 3 17. 3x2 + 12x 􀀀 10  \n6. 4a2 􀀀 2 12. 6x 􀀀 4 18. 4x2 􀀀 3x + 2  \nStep-by-Step Explanations  \n1. Start by naming the process: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is Combine like terms: (3x + 5x) + (7 􀀀 2) = 8x + 5 . So the 􀀂nal answer is 8x + 5 .  \n2. A good way to think about this is: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is Combine: (2x + 4x) + (1 + 6) = 6x + 7 . So the 􀀂nal answer is 6x + 7 .  \n3. Step by step: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is Group by power: (x2 + 2x2 ) + (4x 􀀀 x) + 3 = 3x2 + 3x + 3 . So the 􀀂nal answer is 3x2 + 3x + 3 .  \n4. Take it one move at a time: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is Combine: (5a + 2a) + (􀀀3 + 8) = 7a + 5 . So the 􀀂nal answer is 7a + 5 .  \n5. Start by naming the process: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is Distribute the minus: 6x2 􀀀 3x + 1 􀀀 2x2 􀀀 x + 4 . Combine: 4x2 􀀀 4x + 5 . So the 􀀂nal answer is 4x2 􀀀 4x + 5 .  \n6. A good way to think about this is: Read what the problem is asking, choose the matching rule, write the setup, and then simplify","cbCairhKLd8R28do","https://ap.wps.com/l/cbCairhKLd8R28do","pdf",112498,"English","# Quick Review and Helpful Hints\n## Example: Simplify with Distributing the Minus Sign\n## Word Problems\n## Answer Keys\n## Step-by-Step Explanations","[{\"question\":\"How do you subtract polynomials correctly?\",\"answer\":\"Distribute the minus sign to every term in the second polynomial so each sign flips, then combine like terms.\"},{\"question\":\"What does “combine like terms” mean in this worksheet?\",\"answer\":\"Combine terms that share the same variable and exponent, adding or subtracting their coefficients.\"},{\"question\":\"What types of word problems appear?\",\"answer\":\"The worksheet includes applications such as total path length, rectangle perimeter, and profit expressed as revenue minus cost.\"}]","Adding and Subtracting Polynomials - Practice - Progress - Succeed | PDF",1791204768]