[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-272593-105":59,"doc-detail-272593-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","evaluating-one-variable-ssat-middle-level-math-answer-key-and-explanations","Evaluating One Variable - SSAT Middle-Level Math - Answer Key And Explanations","","Evaluating One Variable focuses on substituting a given number for a variable in algebraic expressions and then simplifying using the correct order of operations (PEMDAS). It includes quick review guidance that emphasizes using parentheses for negative values, followed by practice problems covering expressions with variables and real-world word contexts. The document provides an answer key with step-by-step explanations showing how each final result is obtained.",{"@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/evaluating-one-variable-ssat-middle-level-math-answer-key-and-explanations/272593/",{"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/evaluating-one-variable-ssat-middle-level-math-answer-key-and-explanations/272593.png","ImageObject",300,407,{"name":92,"@type":93},"Anda","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-01","2026-09-15",true,{"@type":102,"interactionType":103,"userInteractionCount":52},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you evaluate an algebraic expression when the variable value is given?","Question",{"text":112,"@type":113},"Substitute the given number for the variable, then simplify using PEMDAS: parentheses, exponents, multiplication/division left to right, then addition/subtraction left to right.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Why is using parentheses important when the substituted value is negative?",{"text":117,"@type":113},"Parentheses ensure the negative sign applies correctly to the substituted value, preventing common sign and order-of-operations mistakes.",{"name":119,"@type":110,"acceptedAnswer":120},"What information does the document provide for the practice problems?",{"text":121,"@type":113},"It provides an answer key and step-by-step explanations that show the setup and simplification leading to each final answer.","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},272593,1789466244,{"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":52,"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":129,"read_time":39},962075006959,"https://ap-avatar.wpscdn.com/avatar/e0002397efbe92a78e?_k=1776741047341049297","Practice 􀀏 Progress 􀀏 Succeed | SSAT Middle-Level 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)  \nEvaluating One Variable  \n\n| Name:   | D | ate:   | S | core:   / 18 |\n| --- | --- | --- | --- | --- |\n\nQuick Review and Helpful Hints  \nTo evaluate an expression, substitute the given number in place of the variable, then follow the order of operations (PEMDAS): parentheses, exponents, multiply and divide left to right, then add and subtract left to right. Put the substituted value in parentheses – this matters most when the value is negative.  \n▷ Example: Evaluate 3x + 5 when x = 4 . Work: Substitute 4 for x: 3(4) + 5 . Following order of operations, multiply 􀀂rst: 12 + 5 . Then add. ⋆ Answer: 17  \n♦ Practice Problems  \nEvaluate each expression for the given value of the variable.  \n♦ Word Problems  \n15. A taxi charges $3 plus $2 per mile, modeled by 2m + 3 . Find the cost for a m = 8 mile trip.  \n16. The area of a square is s2 . Find the area when the side s = 9 cm.  \n17. A phone plan costs 25 + 0 . 10t dollars for t texts. Find the cost when t = 40 .  \n18. The expression 60 􀀀 5h gives the liters of water left in a tank after h hours. How much is left after h = 7 hours?  \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 | SSAT Middle-Level 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. 12 7. 1 13. 3  \n2. 18 8. 24 14. 21  \n3. 14 9. 4 15. $19  \n4. 25 10. 2 16. 81 cm2  \n5. 16 11. 􀀀2 17. $29  \n6. 11 12. 15 18. 25 liters  \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 5 + 7 = 12 . So the 􀀂nal answer is 12.  \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 2(9) = 18 . So the 􀀂nal answer is 18.  \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 3(6) 􀀀 4 = 18 􀀀 4 = 14 . So the 􀀂nal answer is 14.  \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 52 = 25 . So the 􀀂nal answer is 25.  \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 5(3) + 1 = 15 + 1 = 16 . So the 􀀂nal answer is 16.  \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 one step at a time. The setup/work is 120 + 6 = 5 + 6 = 11 . So the 􀀂nal answer is 11.  \n7. Step by step: Read what the problem is asking, choose the matching rule, wri","cbCaiv1l3Hj3RG7h","https://ap.wps.com/l/cbCaiv1l3Hj3RG7h","pdf",278701,"English","# Quick Review and Helpful Hints\n## Practice Problems\n## Word Problems\n# Answer Keys\n## Step-by-Step Explanations","[{\"question\":\"How do you evaluate an algebraic expression when the variable value is given?\",\"answer\":\"Substitute the given number for the variable, then simplify using PEMDAS: parentheses, exponents, multiplication/division left to right, then addition/subtraction left to right.\"},{\"question\":\"Why is using parentheses important when the substituted value is negative?\",\"answer\":\"Parentheses ensure the negative sign applies correctly to the substituted value, preventing common sign and order-of-operations mistakes.\"},{\"question\":\"What information does the document provide for the practice problems?\",\"answer\":\"It provides an answer key and step-by-step explanations that show the setup and simplification leading to each final answer.\"}]","Evaluating One Variable - SSAT Middle-Level Math - Answer Key And Explanations | PDF"]