[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-480594-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-480594-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","expanding-an-expression-with-the-distributive-property-word-answer-key-480594","Expanding an Expression with the Distributive Property (Word) - Answer Key","","Worksheets and answer key focused on expanding expressions using the distributive property in word problems. Students determine which algebraic expression is equivalent to models describing repeated groups, such as building multiple birdhouses, filling aquariums with animals, packing toolboxes with tools, and assembling camping kits. Each item presents a factor-multiply structure and multiple-choice options so learners practice rewriting sums inside parentheses into equivalent products and selecting the correct expanded form.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/expanding-an-expression-with-the-distributive-property-word-answer-key-480594/480594/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/expanding-an-expression-with-the-distributive-property-word-answer-key-480594/480594.png","ImageObject",300,407,{"name":42,"@type":43},"Mary Man","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-31","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",7,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How do you choose the expression equivalent to a word problem using the distributive property?","Question",{"text":63,"@type":64},"Identify the repeated group count outside the parentheses, then distribute it across each addend inside the parentheses. Match the resulting equivalent expression to the choices provided.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What does the expression form like 5 × (9 + 6 + 8) represent?",{"text":68,"@type":64},"It represents five groups, where each group contains 9 items of one type, 6 items of another type, and 8 items of a third type.",{"name":70,"@type":61,"acceptedAnswer":71},"Why are multiple-choice options needed in these problems?",{"text":72,"@type":64},"They test whether students correctly expand the distributive structure into equivalent expressions (often as sums of products) rather than choosing an expression with incorrect grouping or multiplication.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},480594,1790821848,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":112,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":144},7421720224475,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Expanding an Expression with the Distributive Property (Word) Name:  \n\n| Determine which expression is equivalent to each expression shown.\u003Cbr>1) Adam built 5 birdhouses. For each birdhouse he used 9 long nails, 6 short nails, and 8 screws. Adam wrote this expression to show the total number of fasteners he used.\u003Cbr>5 × (9 + 6 + 8)\u003Cbr>A. (5 × 9) + (5 × 6) + (5 × 8) B. (5 × 9) + (6 + 8)\u003Cbr>C. (5 × 9) × (5 × 6) × (5 × 8) D. (5 + 9) + (5 + 6) + (5 + 8) | Answers |  |  |  |\n| --- | --- | --- | --- | --- |\n|  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.   |  |  |  |\n| 2) George filled 8 aquariums for the pet shop. He added 7 goldfish, 3 guppies, and 5 snails to each tank. George wrote this expression to show the total number of animals he added.\u003Cbr>8 × (7 + 3 + 5)\u003Cbr>A. (8 × 7) × (8 × 3) × (8 × 5) B. (8 × 7) + (3 + 5)\u003Cbr>C. (8 × 7) + (8 × 3) + (8 × 5) D. (8 + 7) + (8 + 3) + (8 + 5) |  |  |  |  |\n| 3) Billy filled 4 toolboxes. He put 3 wrenches, 3 pliers, and 6 screwdrivers in each toolbox. Billy wrote this expression to show the total number of tools he packed.\u003Cbr>4 × (3 + 3 + 6)\u003Cbr>A. (4 × 3) + (4 × 3) + (4 × 6) B. (4 + 3) + (4 + 3) + (4 + 6)\u003Cbr>C. (4 × 3) + (3 + 6) D. (4 × 3) × (4 × 3) × (4 × 6) |  |  |  |  |\n| 4) Dave packed 3 camping kits. He added 2 matches, 2 candles, and 5 batteries to each kit. Dave wrote this expression to show the total number of items he packed.\u003Cbr>3 × (2 + 2 + 5)\u003Cbr>A. (3 × 2) × (3 × 2) × (3 × 5) B. (3 × 2) + (2 + 5)\u003Cbr>C. (3 × 2) + (3 × 2) + (3 × 5) D. (3 + 2) + (3 + 2) + (3 + 5) |  |  |  |  |\n| 1-4 | 75 | 50 | 25 | 0 |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com 1)[ 1](www.CommonCoreSheets.com 1)  \nMath  \n Expanding an Expression with the Distributive Property (Word) Name: Answer Key  \n\n| Determine which expression is equivalent to each expression shown.\u003Cbr>1) Adam built 5 birdhouses. For each birdhouse he used 9 long nails, 6 short nails, and 8 screws. Adam wrote this expression to show the total number of fasteners he used.\u003Cbr>5 × (9 + 6 + 8)\u003Cbr>A. (5 × 9) + (5 × 6) + (5 × 8) B. (5 × 9) + (6 + 8)\u003Cbr>C. (5 × 9) × (5 × 6) × (5 × 8) D. (5 + 9) + (5 + 6) + (5 + 8) | Answers |  |  |  |\n| --- | --- | --- | --- | --- |\n|  | 1.  A \u003Cbr>2.  C \u003Cbr>3.  A \u003Cbr>4.  C  |  |  |  |\n| 2) George filled 8 aquariums for the pet shop. He added 7 goldfish, 3 guppies, and 5 snails to each tank. George wrote this expression to show the total number of animals he added.\u003Cbr>8 × (7 + 3 + 5)\u003Cbr>A. (8 × 7) × (8 × 3) × (8 × 5) B. (8 × 7) + (3 + 5)\u003Cbr>C. (8 × 7) + (8 × 3) + (8 × 5) D. (8 + 7) + (8 + 3) + (8 + 5) |  |  |  |  |\n| 3) Billy filled 4 toolboxes. He put 3 wrenches, 3 pliers, and 6 screwdrivers in each toolbox. Billy wrote this expression to show the total number of tools he packed.\u003Cbr>4 × (3 + 3 + 6)\u003Cbr>A. (4 × 3) + (4 × 3) + (4 × 6) B. (4 + 3) + (4 + 3) + (4 + 6)\u003Cbr>C. (4 × 3) + (3 + 6) D. (4 × 3) × (4 × 3) × (4 × 6) |  |  |  |  |\n| 4) Dave packed 3 camping kits. He added 2 matches, 2 candles, and 5 batteries to each kit. Dave wrote this expression to show the total number of items he packed.\u003Cbr>3 × (2 + 2 + 5)\u003Cbr>A. (3 × 2) × (3 × 2) × (3 × 5) B. (3 × 2) + (2 + 5)\u003Cbr>C. (3 × 2) + (3 × 2) + (3 × 5) D. (3 + 2) + (3 + 2) + (3 + 5) |  |  |  |  |\n| 1-4 | 75 | 50 | 25 | 0 |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com 1)[ 1](www.CommonCoreSheets.com 1)  \nMath  \n Expanding an Expression with the Distributive Property (Word) Name:  \n\n| Determine which expression is equivalent to each expression shown.\u003Cbr>1) Adam built 5 birdhouses. For each birdhouse he used 9 long nails, 6 short nails, and 8 screws. Adam wrote this expression to show the total number of fasteners he used.\u003Cbr>5 × (9 + 6 + 8)\u003Cbr>A. (5 × 9) + (5 × 6) + (5 × 8) B. (5 × 9) + (6 + 8)\u003Cbr>C. (5 × 9) × (5 × 6) × (5 × 8) D. (5 + 9) + (5 + 6) + (5 + 8) |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- |\n|  |  |  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.   |  |  |  |\n| 2) George filled 8 aquariums for the pet shop. He added 7 goldfish, 3 guppies, and 5 snails to ea","cbCaigkoicKotUAL","https://ap.wps.com/l/cbCaigkoicKotUAL","pdf",435880,"English","# Determine Equivalent Expressions\n## Birdhouses and Fasteners\n## Aquariums and Animals\n## Toolboxes and Tools\n## Camping Kits and Items","[{\"question\":\"How do you choose the expression equivalent to a word problem using the distributive property?\",\"answer\":\"Identify the repeated group count outside the parentheses, then distribute it across each addend inside the parentheses. Match the resulting equivalent expression to the choices provided.\"},{\"question\":\"What does the expression form like 5 × (9 + 6 + 8) represent?\",\"answer\":\"It represents five groups, where each group contains 9 items of one type, 6 items of another type, and 8 items of a third type.\"},{\"question\":\"Why are multiple-choice options needed in these problems?\",\"answer\":\"They test whether students correctly expand the distributive structure into equivalent expressions (often as sums of products) rather than choosing an expression with incorrect grouping or multiplication.\"}]","Expanding an Expression with the Distributive Property (Word) - Answer Key | PDF",1790795260,76]