[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-462777-105":59,"doc-detail-462777-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","fast-mathematics-sample-test-materials-answer-key-grade-8","FAST Mathematics Sample Test Materials Answer Key - Grade 8","","FAST Mathematics Sample Test Materials Answer Key provides the correct response(s) for each item in the Grade 8 sample test. The answer key clarifies which options and values complete statements and questions, including identifying rational numbers, interpreting scatter plots with negative association, evaluating expressions, and writing results in scientific notation. It also supports checking solutions to equations and systems by describing transformations such as dilation between triangles and marking graph solution points.",{"@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/fast-mathematics-sample-test-materials-answer-key-grade-8/462777/",{"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/fast-mathematics-sample-test-materials-answer-key-grade-8/462777.png","ImageObject",300,407,{"name":92,"@type":93},"moss~","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-12","2026-09-30",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},"What is the purpose of the FAST Mathematics Sample Test Materials Answer Key?","Question",{"text":112,"@type":113},"It provides the correct response(s) for each item on the Grade 8 sample test, helping students check which options complete each question.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you determine which numbers are rational in Item 1?",{"text":117,"@type":113},"Choose the pair(s) that can be expressed as a ratio of two integers; the key identifies the correct option using that criterion.",{"name":119,"@type":110,"acceptedAnswer":120},"What does the answer key say about scatter plots in Item 2?",{"text":121,"@type":113},"It identifies scatter plots that represent a negative relationship where y-values generally decrease as x-values increase.","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},462777,1791241859,{"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":139,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":145},962090895452,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Grade 8 \nFAST Mathematics Sample Test Materials Answer Key \nThe Grade 8 FAST Mathematics Sample Test Materials Answer Key provides the correct response(s) for each item on the sample test. The sample items and answers are not intended to demonstrate the length of the actual test, nor should student responses be used as an indicator of student performance on the actual test. \nAll trademarks and trade names found in this publication are the property of their respective owners and are not associated with the publishers of this publication. \nBLANK PAGE \nPage 3 \n1. Four numbers are shown. \n\n| | 8 | 0.23 | 49 |\n| --- | --- | --- | --- |\n\nComplete the statement explaining which two numbers are rational. For each box, fill in the bubble before the pair of numbers or word that is correct. \nThe two rational numbers are \nA and 8 B and 0.23 C 8 and 49 D 0.23 and 49 \nbecause they \nA can B cannot \nbe expressed as a ratio of two integers. \n2. Gia records the temperature of ocean water at different depths and finds that the relationship between temperature and depth have a negative association. \nSelect all the scatter plots that could represent Gia’s data. \nA \nB \nOcean Temperature Ocean Temperature \nC \nD \nOcean Temperature Ocean Temperature \nE \nF \nOcean Temperature Ocean Temperature \nOption B: This answer is correct. The student recognized that the scatter plot shows a negative relationship since the y-values generally tend to decrease as the x-values increase. \nOption C: This answer is correct. The student recognized that the scatter plot shows a negative relationship since the y-values generally tend to decrease as the x-values increase. \nOption E: This answer is correct. The student recognized that the scatter plot shows a negative relationship since the y-values generally tend to decrease as the x-values increase. \n3. An expression is shown. \n–~~12~~􀀃 + 8 􀀂 – 15 \nWhat is the value of the expression? \nA \nB \nC \nD \n6~~7~~8 \n7 1 \n8 \n48~~7~~8 \n49~~1~~8 \nOption A: This answer is correct. The student correctly determined the value of the expression to be ~~55~~8 or 6~~7~~8. \n4. An expression is shown. \n(2 .3 × 104 ) × (4 .1 × 102 ) \nWrite your response in the shaded box below and fill in the bubble before the correct power of 10 to show the value of the expression in scientific notation. \nOther correct responses: any equivalent expression in scientific notation \n5. Fill in bubbles to identify the number of solutions to each equation. \n\n| | No Solutions | One Solution | Infinitely Many Solutions |\n| --- | --- | --- | --- |\n| 3x – 5 = 3(x – 2) + 1 | A | B | C\u003Cbr>|\n| 3x – 5 = –9x + 15 | D | E\u003Cbr>| F |\n| 3x – 5 = 3x + 10 | G\u003Cbr>| H | I |\n\nPage 8 \n6. The transformation of triangle T to triangle T’ is shown. \n4 \nSelect a word and a value to complete the description of the transformation. For each blank, fill in the bubble before the word or value that is correct. \nTriangle T is [ A congruent similar ] to triangle T’. \nTriangle T can be transformed to triangle T’ using a dilation with a scale \nfactor of ________ [ A ~~1~~2 \nB 2 C 4 ] . \n7. A system of equations is shown. \n1 y = x \n2 \ny = –~~ 1~~2 x + 2 \nKayla graphs the system to solve it. She marks her solutions with P and R. \ny \n\n| | | | | | \u003Cbr>5 | | | | | |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| | | | | | 4 | | | | | |\n| | | | | | 3 | | | | | |\n| | | | | | 2 P | | | | | |\n| | | | | | 1 | | | | | |\n| \u003Cbr>–5 | –4 | –3 | | –1 | 0 R\u003Cbr>| 1 | 2 | 3 | | \u003Cbr>5 |\n| | | | | | –1 | | | | | |\n| | | | | | –2 | | | | | |\n| | | | | | | | | | | |\n| | | | | | | | | | | |\n| | | | | | | | | | | |\n\n4 \n–5 \n–4 \n–3 \n–2 \nx","cbCaijdzG6UOte8V","https://ap.wps.com/l/cbCaijdzG6UOte8V","pdf",4208298,14,"English","# FAST Mathematics Sample Test Materials Answer Key\n## Grade 8 sample items and answer explanations\n### Item 1\n### Item 2\n### Item 3\n### Item 4\n### Item 5\n### Item 6\n### Item 7","[{\"question\":\"What is the purpose of the FAST Mathematics Sample Test Materials Answer Key?\",\"answer\":\"It provides the correct response(s) for each item on the Grade 8 sample test, helping students check which options complete each question.\"},{\"question\":\"How do you determine which numbers are rational in Item 1?\",\"answer\":\"Choose the pair(s) that can be expressed as a ratio of two integers; the key identifies the correct option using that criterion.\"},{\"question\":\"What does the answer key say about scatter plots in Item 2?\",\"answer\":\"It identifies scatter plots that represent a negative relationship where y-values generally decrease as x-values increase.\"}]","FAST Mathematics Sample Test Materials Answer Key - Grade 8 | PDF",1790765196,35]