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The worksheet instructs learners to perform operations, simplify expressions, factor polynomials, combine and simplify, and solve equations, including percent and word problems. It also includes equation and graph analysis tasks such as symmetry, circle radius from coordinate form, and distance from a plotted figure. Answers are provided at the end for 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/review-for-math-placement-test-practice-problems/397168/",{"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/review-for-math-placement-test-practice-problems/397168.png","ImageObject",300,407,{"name":92,"@type":93},"SundayMiles","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-20","2026-09-26",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},"What should you do before taking the math placement test?","Question",{"text":112,"@type":113},"Review the 50 sample problems without using a calculator and work through the exercises. The packet notes that reviewing may improve your placement score.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What kinds of skills are covered in the practice questions?",{"text":117,"@type":113},"The problems include operations, simplification, factoring, combining like terms, solving equations, percent and geometry applications, and questions based on graphs and coordinates.",{"name":119,"@type":110,"acceptedAnswer":120},"Where can you find the answers to check your work?",{"text":121,"@type":113},"Answers for the numbered problems are provided at the end of the test, listed by problem number.","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},397168,1791275764,{"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":14,"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":24,"preview_page_count":4},1099529839202,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","| Review For Math Placement Test\u003Cbr>To help prepare for the math placement test, try some of the 50 sample problems below without using a calculator. Reviewing this material before taking the placement test may improve your placement score. Answers are provided at the end of the test.\u003Cbr>Perform the operations:\u003Cbr>1. 􀀠􀀡􀀢 􀀣 􀀤􀀥 2. 􀀠 􀀦 􀀤􀀧􀀨 􀀩􀀡\u003Cbr>3. 􀀨 􀀪 􀀫 􀀬 􀀭 􀀪 􀀥􀀡 􀀬 􀀮 􀀪 􀀢􀀢􀀧 4. 􀀤 􀀪 􀀭􀀮 􀀯 􀀠 􀀪 􀀥􀀤􀀠\u003Cbr>5. 􀀫 􀀪 􀀥 􀀣 􀀭 􀀪 􀀧􀀨􀀡 6. 􀀭 .􀀢􀀤􀀠􀀫 􀀩 􀀭 􀀪 􀀭􀀫\u003Cbr>􀀨   􀀥   􀀧   􀀨\u003Cbr>7. 􀀬 8. 􀀢 􀀯􀀠\u003Cbr>􀀤 􀀮􀀠 􀀮􀀠 􀀫\u003Cbr>9. ~~ ~~􀀠􀀨~~ ~~􀀤􀀢 􀀣 􀀫􀀧􀀠􀀢~~ ~~ 10. ~~ ~~􀀮􀀧􀀫􀀧 􀀩 􀀠􀀮􀀮􀀠􀀭\u003Cbr>11. The number of parking tickets handed out at BCCC was twice the number of tickets handed out last year. The number of tickets handed out this year was what percent of the number handed out last year?\u003Cbr>12. If 􀀰 􀀱 ~~ ~~􀀯􀀳~~ ~~􀀬~~ ~~»􀀠􀀳􀀲􀀠~~ ~~􀀯~~ ~~􀀫􀀲􀀴 , find the value of 􀀰 if 􀀲 􀀱 􀀠 􀀦 􀀳 􀀱 􀀤􀀦 and 􀀴 􀀱 􀀯 􀀧􀀪\u003Cbr>􀀮3 􀀪 The length of a rectangle is 5.25 ft and its width is 3.10 ft. What is the area of this rectangle?\u003Cbr>14. A pair of shoes sells for $45. If the price was reduced by 25%, what was the original price?\u003Cbr>Simplify:\u003Cbr>15. a􀀧􀀲􀀠 􀀯 􀀨􀀲 􀀬 􀀡b 􀀯 a􀀠􀀭􀀲􀀠 􀀬 􀀮􀀮􀀲 􀀯􀀢b\u003Cbr>16. 􀀯 􀀠􀀰a􀀤􀀰 􀀯 􀀵 􀀬 􀀮􀀫b 􀀬 􀀫􀀰a􀀮􀀭􀀰 􀀬 􀀫􀀵 􀀯􀀡b  \u003Cbr>17. a􀀠􀀫􀀴􀀨 􀀯 􀀨􀀢􀀴􀀠 􀀬 􀀫􀀤􀀴b 􀀩 􀀮􀀠􀀴 18. » 􀀮􀀫􀀫 􀀬»􀀨 􀀢􀀫 􀀬»􀀫 􀀮􀀢\u003Cbr>19. » 􀀮􀀭» 􀀮􀀧 20. a􀀧􀀰􀀨 􀀵 􀀧 􀀶ba 􀀯 􀀠􀀰􀀥 􀀵􀀶 􀀠 b 21 􀀪 ~~ ~~􀀨􀀫􀀢􀀤􀀲􀀲􀀠􀀧􀀳􀀳􀀢􀀠~~ ~~􀀴􀀴􀀨~~ ~~ 22. à 􀀯 􀀠􀀴􀀠 􀀷􀀨 â􀀫\u003Cbr>23. a􀀨􀀵􀀬 􀀧b􀀠 􀀯 a􀀨􀀵 􀀯􀀧b􀀠 | --\u003Cbr>Factor:\u003Cbr>24. 􀀰􀀠 􀀯 􀀠􀀰 􀀯 􀀫􀀤\u003Cbr>26. 􀀠􀀭􀀰􀀠 􀀯 􀀨􀀧􀀰􀀵 􀀯 􀀮􀀧􀀰􀀵􀀠\u003Cbr>Combine and simplify:\u003Cbr>27.\u003Cbr>--\u003Cbr>􀀨􀀠􀀰 􀀬 􀀠􀀰 25. 􀀠􀀧􀀰􀀠 􀀯 􀀨􀀢􀀵􀀠 28. 􀀧 􀀫\u003Cbr>~~ ~~ 􀀯 ~~ ~~􀀨􀀰 􀀯 􀀮􀀠 􀀰 􀀯􀀫\u003Cbr>Solve:\u003Cbr>29. 􀀠a􀀵 􀀯 􀀥b 􀀯 􀀮􀀢 􀀱 􀀨􀀮 􀀯 a􀀧􀀵 􀀯 􀀫b 30. 􀀤 í􀀠a􀀴 􀀬 􀀫b 􀀯 a􀀨􀀴 􀀯 􀀡bì 􀀱 􀀴 􀀯 􀀠􀀫\u003Cbr>31. k􀀠􀀰 􀀯 􀀥k 􀀱 􀀮􀀨 32. 􀀥􀀰 􀀯 􀀠􀀭 􀀯 a􀀫􀀰 􀀬 􀀢b 􀀸 􀀠a􀀢􀀰 􀀬􀀧b 􀀫􀀰 􀀬 􀀮􀀠   􀀠\u003Cbr>33. 􀀠􀀰􀀠 􀀯 􀀧􀀰􀀬 􀀨 􀀱 􀀭 34 􀀪 􀀱 􀀯􀀠􀀰 􀀯 􀀨 􀀨\u003Cbr>35. If a circle has center a 􀀯 􀀠 􀀦 􀀧b and the point a 􀀯 􀀢􀀦􀀠b is a point on the circle, what is the radius of this circle?\u003Cbr>--\u003Cbr>36. --- -\u003Cbr>Find the simultaneous solution to the pair of equations 􀀠􀀰 􀀬 􀀧􀀵 􀀱 􀀮\u003Cbr>􀀨􀀰 􀀯 􀀫􀀵 􀀱 􀀮􀀨 37. Simplify the complex fraction\u003Cbr> 􀀡   􀀮 \u003Cbr>􀀯\u003Cbr>􀀵 􀀠 􀀰 􀀠\u003Cbr>􀀨 􀀮 ~~ ~~ 􀀬 ~~ ~~􀀵 􀀰\u003Cbr>􀀪 38. --- -\u003Cbr>􀀰 􀀫 􀀯 􀀧􀀰􀀨 􀀯 􀀢􀀰􀀠 􀀢􀀰􀀠 􀀯 􀀰 􀀯􀀮\u003Cbr>Simplify ~~ ~~ 􀀹 ~~ ~~ 􀀪\u003Cbr>􀀠􀀰􀀠 􀀯 􀀮􀀨􀀰 􀀬 􀀢 􀀡􀀰􀀨 􀀯􀀰 39. If 􀀺a􀀰b 􀀱 􀀠􀀰􀀠 􀀯 􀀨􀀰 find 􀀺a􀀲 􀀬 􀀳b 􀀪 40.\u003Cbr>-- Write 􀀻􀀼􀀽􀀲 􀀰􀀬 􀀻􀀼􀀽􀀲 􀀵 􀀯 􀀠􀀻􀀼􀀽􀀲 􀀶 using just one log term.\u003Cbr>--- -\u003Cbr>41. If 􀀺a􀀰b 􀀱 􀀰 􀀠 􀀯 􀀫􀀰 and 􀀽a􀀰b 􀀱 􀀠􀀰􀀯 􀀨 􀀦 find 􀀺a􀀽a􀀰bb and 􀀽a􀀺a􀀰bb 􀀪 |\n| --- | --- |\n\n\n| 42. If 􀀰􀀯 􀀢 􀀾 􀀭 then k􀀰 􀀯 􀀢k 􀀬􀀰 􀀯 􀀢 􀀱\u003Cbr>a) 􀀭 b) 􀀠􀀰 􀀯 􀀮􀀠 c) 􀀰 d) 􀀠􀀰 e) 􀀯 􀀮􀀠\u003Cbr>--\u003Cbr>43.\u003Cbr>44.\u003Cbr>-- If 􀀵 􀀱 􀀫􀀰 and 􀀵 􀀨 􀀱 􀀿 􀀦 then 􀀿 􀀱 a) 􀀫􀀰􀀬􀀨 b) 􀀫􀀰􀁀􀀨 c) 􀀮􀀠􀀰 d) 􀀢􀀫􀀰 e) »􀀨 􀀫􀀰 --- -\u003Cbr>--- - If 􀀺a􀀰b 􀀱 􀀠􀀰 􀀬 􀀮􀀥 then\u003Cbr>􀀰 􀀬 􀀮􀀥 a) 􀀠􀀰 􀀯 􀀮􀀥 b)\u003Cbr>􀀠 􀀺 􀀯􀀮 a􀀰b 􀀱\u003Cbr>c)\u003Cbr>􀀰􀀯 􀀮􀀥􀀠 d)\u003Cbr>􀀮\u003Cbr>􀀠􀀰 􀀬 􀀮􀀥 e)\u003Cbr>􀀮\u003Cbr>􀀠􀀰 􀀯 􀀮􀀥\u003Cbr>--- -\u003Cbr>45. If the graph of 􀀺 a􀀰b is symmetric with respect to the y-axis, and 􀀺 a􀀢b 􀀱 􀀠􀀦 which of the following must be true?\u003Cbr>a) 􀀺a􀀢b 􀀱 􀀯 􀀠 b) 􀀺 a 􀀯 􀀢b 􀀱 􀀠 c) 􀀺a 􀀯 􀀢b 􀀱 􀀯 􀀠 d) 􀀺 a􀀠b 􀀱 􀀢 e) 􀀺 a 􀀯 􀀠b 􀀱 􀀢 |  |  | 50. Consider the graph below.\u003Cbr>\u003Cbr>Which of the following functions could have this graph?\u003Cbr>a) 􀀵 􀀱 a􀀰 􀀬 􀀠ba􀀰 􀀯 􀀮ba􀀰􀀯 􀀨b b) 􀀵 􀀱 a􀀰􀀯 􀀠ba􀀰􀀬 􀀮ba􀀰 􀀬􀀨bc) 􀀵 􀀱 a􀀰􀀬 􀀠ba􀀰 􀀯 􀀮ba􀀰 􀀯 􀀨b􀀠 d) 􀀵 􀀱 a􀀰􀀯 􀀠ba􀀰 􀀬 􀀮ba􀀰 􀀬􀀨b􀀠 e) 􀀵 􀀱 a􀀰􀀬 􀀠b􀀠 a􀀰 􀀯 􀀮b􀀠 a􀀰 􀀯􀀨b􀀠\u003Cbr>Answers: 1. 25,752 2. 317 3. 5.855 4. 5.228 5. 2.5333   6. 17.06 7. 23/24\u003Cbr>8. 􀀨 ~~􀀠~~􀀨~~ ~~ 9. 7/12 10. 16/11 11. 200% 12. 􀀯~~ ~~􀀫~~ ~~􀀬􀀠~~ ~~»~~ ~~􀀠􀀢~~ ~~ 13. 16.275\u003Cbr>14. $60 15. 􀀮􀀧 􀀯 􀀮􀀫􀀲􀀯 􀀮􀀧􀀲 􀀠 16. 􀀠􀀫􀀰 􀀠 􀀯 􀀢􀀫􀀰􀀬 􀀮􀀤􀀰􀀵 17. 􀀠􀀴􀀠 􀀯 􀀨􀀴 􀀬􀀫\u003Cbr>18. 18 19. 􀀧»􀀢  20. 􀀯 􀀮􀀭􀀰 􀀮􀀭􀀵􀀢􀀶􀀨 21. 􀀫􀀨􀀳􀀲􀀫􀀨􀀴􀀠~~ ~~ 22. 􀀮􀀢􀀴􀀤 􀀷 􀀮􀀠 23. 􀀢􀀭􀀵\u003Cbr>24. a􀀰􀀯 􀀤ba􀀰􀀬 􀀢b 25. a􀀧􀀰􀀬 􀀢􀀵ba􀀧􀀰 􀀯 􀀢􀀵b 26. 􀀧􀀰a􀀫􀀰􀀯 􀀥􀀵 􀀯 􀀨􀀵􀀠 b 27. 􀀥􀀠􀀰  􀀯􀀥 \u003Cbr>28. 29. 􀀵 􀀱 􀀢􀀧􀁀􀀥 30. 􀀴 􀀱 􀀮􀀢􀀭􀁀􀀡 31. 􀀰 􀀱 􀀮􀀭 􀀯 􀀨 32. 􀀰 􀁇 􀀯􀀫\u003Cbr>􀀨a􀀰􀀯􀀫b 􀀦\u003Cbr>􀀨􀀰􀀯􀀵\u003Cbr>33. 􀀰 􀀱 􀀮 􀀦 􀀨􀁀􀀠 34. 􀀰 􀀱 􀀯 􀀮􀀧􀁀􀀤 35. 5 36. 􀀰 􀀱 􀀨 􀀦 􀀵 􀀱 􀀯􀀮 37.\u003Cbr>􀀰􀀵\u003Cbr>38. 􀀰a􀀨􀀰􀀰~~ ~~~~ ~~􀀮􀀮~~ ~~b~~ ~~ 39. 􀀠􀀲􀀠 􀀬 􀀫􀀲􀀳 􀀬 􀀠􀀳 􀀠 􀀯 􀀨􀀲􀀯 􀀨􀀳 40. 􀀻􀀼􀀽􀀲 􀀰􀀶􀀵􀀠\u003Cbr>41. 􀀺a􀀽a􀀰bb 􀀱 􀀫􀀰􀀠 􀀯 􀀠􀀭􀀰􀀬 􀀠􀀮 􀀦 􀀽a􀀺a􀀰bb 􀀱 􀀠􀀰􀀠 􀀯 􀀤􀀰􀀯􀀨 42. A 43. D 44. C\u003Cbr>45. B 46. D 47. D 48. E 49. B 50. C\u003Cbr>Tim Magnavita, Steve Taylor 5/6/08 |\n| --- | --- | --- | --- |\n| 46. | 􀀮 􀀯 􀁁􀁂􀁃􀀠 􀀰   􀁄􀀲􀁃􀀰 \u003Cbr>􀀹\u003Cbr>􀁁􀁂􀁃 􀀰 􀀴􀀼􀁁􀀠 􀀰 | reduces to |  |\n| a) 􀀴􀀼􀁁 􀀰 b) 􀁁􀁂􀁃 􀀰 c) 􀀴􀀼􀁁􀀠 􀀰 d) 􀁁􀁅􀀴 􀀰 e) 􀀴􀁁􀀴􀀰 |  |  |  |\n| ","cbCaiozHal2cYexo","https://ap.wps.com/l/cbCaiozHal2cYexo","pdf",55031,"English","# Perform the operations\n# Simplify\n# Factor\n# Combine and simplify\n# Solve\n# Word problems and application\n# Coordinate and graph questions\n# Answers","[{\"question\":\"What should you do before taking the math placement test?\",\"answer\":\"Review the 50 sample problems without using a calculator and work through the exercises. The packet notes that reviewing may improve your placement score.\"},{\"question\":\"What kinds of skills are covered in the practice questions?\",\"answer\":\"The problems include operations, simplification, factoring, combining like terms, solving equations, percent and geometry applications, and questions based on graphs and coordinates.\"},{\"question\":\"Where can you find the answers to check your work?\",\"answer\":\"Answers for the numbered problems are provided at the end of the test, listed by problem number.\"}]","Review For Math Placement Test - Practice Problems | PDF",1790460177]