[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-485584-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-485584-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":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","evaluating-expressions-with-negative-numbers-worksheet","Evaluating Expressions with Negative Numbers - Worksheet","","Practice worksheet focused on evaluating algebraic expressions that include negative numbers. Learners compute values for multiple-variable linear forms and combined polynomial terms using substitution, including expressions such as 2x + (-8), (x^2 - y^2) ÷ (x + y), and 10 - 5|x| with given negative inputs. The set also includes expressions involving exponents and multiplication, plus a shown expression to evaluate at a negative x. An answer key is included to verify results.",{"@graph":14,"@context":72},[15,34,55],{"@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/evaluating-expressions-with-negative-numbers-worksheet/485584/",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/evaluating-expressions-with-negative-numbers-worksheet/485584.png","ImageObject",300,407,{"name":42,"@type":43},"mieayamfan","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-03","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":30},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"How do you evaluate 2x + (-8) when x is negative?","Question",{"text":62,"@type":63},"Substitute the given negative value of x into 2x, then add -8. Compute the resulting integer value.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"What does (x2 - y2) ÷ (x + y) require besides substitution?",{"text":67,"@type":63},"It requires substituting x and y, then evaluating the numerator and denominator carefully. The division must be computed from the substituted expressions.",{"name":69,"@type":60,"acceptedAnswer":70},"How do you handle absolute value in 10 - 5|x| when x is negative?",{"text":71,"@type":63},"Compute |x| first using the given negative x, then substitute that absolute value into 10 - 5|x| and simplify.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},485584,1792856583,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"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":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"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":30,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"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":110,"preview_page_count":4},962090893677,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Evaluating Expressions with Negative Numbers  \nName:  \n\n| Evaluate each expression.\u003Cbr>1) What is the value of 2x + (-8) when x = -4? |  |  |  |  |  | Answers\u003Cbr>1.   |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) What is the value of (x2-y2) ÷ (x + y) when x = -6 and y = 8? |  |  |  |  |  | 2.   |  |  |  |  |  |  |\n| 3) What is the value of 4g + 2h when g = 4 and h = -9? |  |  |  |  |  | 3.   |  |  |  |  |  |  |\n| 4) What is the value of (x2-y2) ÷ (x + y) when x = 4 and y = 9? |  |  |  |  |  | 4.  \u003Cbr>5.   |  |  |  |  |  |  |\n| 5) What is the value of 10-5|x| when x = -9? |  |  |  |  |  | 6.   |  |  |  |  |  |  |\n| 6) What is the value of m3 × 2n2 when m = 3 and n = -2? |  |  |  |  |  | 7.   |  |  |  |  |  |  |\n| 7) What is the value of m3 × 3n2 when m = 4 and n = -3? |  |  |  |  |  | 8.  \u003Cbr>9.   |  |  |  |  |  |  |\n| 8) An expression is shown. x2 + 3x What is the value of the expression when x = -3? |  |  |  |  |  | 10.   |  |  |  |  |  |  |\n| 9) What is the value of x2 + 5x when x = -5? |  |  |  |  |  | 11.   |  |  |  |  |  |  |\n| 10) What is the value of 2x + (-9) when x = -2? |  |  |  |  |  | 12.  \u003Cbr>13. |  |  |  |  |  |  |\n| 11) What is the value of 5g + 6h when g = 2 and h = -4? |  |  |  |  |  | 14.   |  |  |  |  |  |  |\n| 12) What is the value of 22-5|x| when x = -2? |  |  |  |  |  | 15.   |  |  |  |  |  |  |\n| 13) What is the value of 5x + (-6) when x = -2? |  |  |  |  |  |  |  |  |  |  |  |  |\n| 14) What is the value of 8g + 3h when g = 2 and h = -4? |  |  |  |  |  |  |  |  |  |  |  |  |\n| 15) What is the value of m3 × 2n2 when m = 4 and n = -2? |  |  |  |  |  |  |  |  |  |  |  |  |\n| \u003Cbr>Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 1-10\u003Cbr>11-15 | 93 | 87 | 80 | 73 | 67 | 60 | 53 | 47 | 40 | 33 |\n|  |  |  | 27 | 20 | 13 | 7 | 0 |  |  |  |  |  |\n\nEvaluating Expressions with Negative Numbers  \nName: Answer Key  \n\n| Evaluate each expression.\u003Cbr>1) What is the value of 2x + (-8) when x = -4? |  |  |  |  | Answers\u003Cbr>1.  -16  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) What is the value of (x2-y2) ÷ (x + y) when x = -6 and y = 8? |  |  |  |  | 2.  -14  |  |  |  |  |  |  |\n| 3) What is the value of 4g + 2h when g = 4 and h = -9? |  |  |  |  | 3.  -2  |  |  |  |  |  |  |\n| 4) What is the value of (x2-y2) ÷ (x + y) when x = 4 and y = 9? |  |  |  |  | 4.  -5  5.  -35  |  |  |  |  |  |  |\n| 5) What is the value of 10-5|x| when x = -9? |  |  |  |  | 6.  216  |  |  |  |  |  |  |\n| 6) What is the value of m3 × 2n2 when m = 3 and n = -2? |  |  |  |  | 7.  1728  |  |  |  |  |  |  |\n| 7) What is the value of m3 × 3n2 when m = 4 and n = -3? |  |  |  |  | 8.  0  9.  0  |  |  |  |  |  |  |\n| 8) An expression is shown. x2 + 3x What is the value of the expression when x = -3? |  |  |  |  | 10.  -13  |  |  |  |  |  |  |\n| 9) What is the value of x2 + 5x when x = -5? |  |  |  |  | 11.  -14  |  |  |  |  |  |  |\n| 10) What is the value of 2x + (-9) when x = -2? |  |  |  |  | 12.  12  13. -16 |  |  |  |  |  |  |\n| 11) What is the value of 5g + 6h when g = 2 and h = -4? |  |  |  |  | 14.  4  |  |  |  |  |  |  |\n| 12) What is the value of 22-5|x| when x = -2? |  |  |  |  | 15.  512  |  |  |  |  |  |  |\n| 13) What is the value of 5x + (-6) when x = -2? |  |  |  |  |  |  |  |  |  |  |  |\n| 14) What is the value of 8g + 3h when g = 2 and h = -4? |  |  |  |  |  |  |  |  |  |  |  |\n| 15) What is the value of m3 × 2n2 when m = 4 and n = -2? |  |  |  |  |  |  |  |  |  |  |  |\n| \u003Cbr>Math | Seed: 79857551-722 1-10\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com) 11-15 | 93 | 87 | 80 | 73 | 67 | 60 | 53 | 47 | 40 | 33 |\n|  |  | 27 | 20 | 13 | 7 | 0 |  |  |  |  |  |\n\nEvaluating Expressions with Negative Numbers  \nName:  \n\n| Evaluate each expression.\u003Cbr>1) What is the value of 2x + (-8) when x = -4? |  |  |  |  | Answers\u003Cbr>1.   |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | ---","cbCaiu0asJZB0mnU","https://ap.wps.com/l/cbCaiu0asJZB0mnU","pdf",43533,"English","# Evaluate each expression\n## Substitute given values with negatives","[{\"question\":\"How do you evaluate 2x + (-8) when x is negative?\",\"answer\":\"Substitute the given negative value of x into 2x, then add -8. Compute the resulting integer value.\"},{\"question\":\"What does (x2 - y2) ÷ (x + y) require besides substitution?\",\"answer\":\"It requires substituting x and y, then evaluating the numerator and denominator carefully. The division must be computed from the substituted expressions.\"},{\"question\":\"How do you handle absolute value in 10 - 5|x| when x is negative?\",\"answer\":\"Compute |x| first using the given negative x, then substitute that absolute value into 10 - 5|x| and simplify.\"}]","Evaluating Expressions with Negative Numbers - Worksheet | PDF",1790804548]