[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-437065-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-437065-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","math-placement-exam-practice-materials","Math Placement Exam Practice Materials","","Practice materials for a math placement exam designed to be completed without a calculator. The instructions specify typing answers in provided boxes with restrictions to only numbers and the negative sign, with exact matching required for correctness. The set covers arithmetic with integers and absolute value, fractions and rational expressions, simplification and solving linear and quadratic equations, slope from coordinate points, and function and graph transformations including logarithmic and trigonometric expressions.",{"@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/math-placement-exam-practice-materials/437065/",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/math-placement-exam-practice-materials/437065.png","ImageObject",300,407,{"name":42,"@type":43},"Pentious","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-09-30","2026-09-29",true,{"@type":52,"interactionType":53,"userInteractionCount":22},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"Can I use a calculator to complete this practice exam?","Question",{"text":62,"@type":63},"No. The instructions state you should be able to do the practice exam without using a calculator.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"What are the rules for the answer boxes?",{"text":67,"@type":63},"Answers must be typed exactly using only numbers and the negative sign. No special formatting, decimals, or letters are allowed.",{"name":69,"@type":60,"acceptedAnswer":70},"Does my answer need to match exactly when checking?",{"text":71,"@type":63},"Yes. The instructions require your answer to match exactly to be correct.","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},437065,1790763383,{"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":22,"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},1374404730887,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Practice Materials for the Math Placement Exam  \nYou should be able to do this practice exam without the use of a calculator. The exam format is similar to how questions are asked here and answers must be typed in the boxes provided. Only numbers and the negative sign“-“ are acceptable in the answer boxes (no special formatting, no decimals, no letters). When checking your answers to this practice exam, your answer must match exactly to be correct. *These are NOT the exact problems from the exam.  \n1. Compute 31 − (−11) − (6 − 9)  \n2. Find the numerical value of 11 − 3 (21 − 16)  \n\n|  |\n| --- |\n|  |\n\n3. Evaluate |−24 + 17|  \n4. Compute  \n(35)2 in lowest terms.  \n\n|  |\n| --- |\n|  |\n\n5. Add the following fractions and express your answer as a fully reduced fraction: 23 + 511  \n\n|  |\n| --- |\n|  |\n\n6. Divide the following fractions and express your answer as a fully reduced fraction: 135 ÷ 103  \n\n|  |\n| --- |\n|  |\n\n7. Simplify: (12 ∙ 4) + (1 ∙ 34)  \n\n|  |\n| --- |\n|  |\n\n8. Simplify the expression 4(3􀝔 + 1) − (2􀝔 − 6) to one of the form 􀜽􀝔 + 􀜾 .  \n􀜽 =  \n􀜾 =  \n9. Solve for 􀝔: 5􀝔 + 2 = −3􀝔 + 4  \n\n|  |\n| --- |\n|  |\n\n10. Simplify the expression (3􀝔2 + 2􀝔 − 3) −(4􀝔2 − 2􀝔 − 6) to one of the form 􀜽􀝔2 + 􀜾􀝔 + 􀜿 . Write your answers for 􀜽 , 􀜾 , and 􀜿 .  \n􀜽 =  \n􀜾 =  \n􀜿 =  \n11. Calculate the slope of the line going through the points (−5, 6) and (2, 3) .  \n\n|  |\n| --- |\n|  |\n\n12. Solve for 􀝔: 2 (􀝔 − 3) = 1 − 4(2􀝔 + 5)  \n\n|  |\n| --- |\n|  |\n\n13. Evaluate 􀝔 2 − 2􀝔 + 6 for 􀝔 = −1 .  \n14. Solve for 􀝔: 􀝔 2 − 11􀝔 = −28 . Enter your answers in any order.  \n15. Simplify 202􀯫􀯫3~~ ~~􀯬6~~ ~~􀯬34. Enter 􀜽 , 􀜾 , and 􀜿 where the answer is 􀜽􀝔􀯕 􀝕 􀯖 .  \n􀜽 =  \n􀜾 =  \n􀜿 =  \n16. Find the two roots 􀝔1 and 􀝔2 of the quadratic equation 􀝔 2 − 8􀝔 + 12 = 0. Enter your answers in any order.  \n􀝔 =  􀝔 =   \n17. Solve for 􀝔:  \n2  1  \n~~ ~~ −  \n􀯫 4  \n=  \n1 7  \n\n|  |\n| --- |\n|  |\n\n18. Solve for 􀝔: |4􀝔 + 1| + 3 = 6. Enter your answers in any order.  \n􀝔 =  \n\n|  |\n| --- |\n|  |\n\n􀝔 =  \n\n|  |\n| --- |\n|  |\n\n19. If 􀝂(􀝔) = −3􀝔 + 7, calculate and simplify 􀯙~~ ~~(4+ℎℎ)~~ ~~−􀯙(4) . Enter the values of 􀜽 and 􀜾 , where your answer is in the form 􀜽ℎ + 􀜾 .  \n􀜽 =  \n􀜾 =  \n20. The graph of 􀝕 = 􀯫~~ ~~2 + 9 is the graph of 􀝕 = 1􀯫 with what transformations?  \n(a) shifted left 9 units and down 2 units  \n(b) shifted left 2 units and up 9 units  \n(c) shifted left 2 units and down 9 units  \n(d) shifted right 2 units and up 9 units  \n(e) shifted left 9 units and up 2 units  \n21. A right triangle has sides A, B, and C, where Cis the hypotenuse. Side A has length 18, side B has length 24, and side C has length 30. If 􀟠 is the angle between sides A and C, what is the value of sin (􀟠)? Enter your answer as a fully simplified fraction.  \n\n|  |\n| --- |\n|  |\n\n22. Which of the following is the inverse of 􀝂 (􀝔) = (􀝔 − 10)3 ?  \n1  \n(a) 􀝂−1(􀝔) = (􀝔 − 10)3  \n(b) 􀝂−1(􀝔) = (􀝔 − 10)13 + 10 1  \n(c) 􀝂−1(􀝔) = 􀝔 3 − 10 1  \n(d) 􀝂−1(􀝔) = 􀝔 3 + 10  \n(e) 􀝂−1(􀝔) = 􀝔 3 + 10  \n23. Solve for 􀝔: 7􀯫+6 = 2. Enter 􀜽 , 􀜾 , and 􀜿 where your answer is x = log 􀯕 􀜽 + 􀜿 .  \n􀜽 =  \n􀜾 =  \n􀜿 =  \n24. Evaluate ln(􀝁43) .  \n25. Find the equation of the curve formed by vertically stretching the graph of 􀝕 = sin (􀝔) by 2 and then shifting it right by 7 units. Enter 􀜽 , 􀜾 , 􀜿 , and 􀝀 where your answer is 􀝕 = asin (􀜾􀝔 + 􀜿) + 􀝀 .  \n􀜽 =  \n􀜾 =  \n􀜿 =  \n􀝀 =  \n26. Use the method of completing the square to write 􀝔 2 + 6􀝔 − 2 in the form (􀝔 + 􀜽)2 + 􀜾 .  \n􀜽 =  \n􀜾 =  \nAnswers:","cbCaivwRLD3hbNe3","https://ap.wps.com/l/cbCaivwRLD3hbNe3","pdf",134582,"English","# Practice Materials for the Math Placement Exam\n## Problem Set (1-26)\n## Answers:","[{\"question\":\"Can I use a calculator to complete this practice exam?\",\"answer\":\"No. The instructions state you should be able to do the practice exam without using a calculator.\"},{\"question\":\"What are the rules for the answer boxes?\",\"answer\":\"Answers must be typed exactly using only numbers and the negative sign. No special formatting, decimals, or letters are allowed.\"},{\"question\":\"Does my answer need to match exactly when checking?\",\"answer\":\"Yes. The instructions require your answer to match exactly to be correct.\"}]","Math Placement Exam Practice Materials | PDF",1790680091]