[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-437069-105":59,"doc-detail-437069-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","intermediate-algebra-practice-placement-exam-math-placement-practice-exam","Intermediate Algebra Practice Placement Exam - Math Placement Practice Exam","","Intermediate Algebra Practice Placement Exam is a 24-question multiple-choice assessment designed to measure core skills in intermediate algebra. The exam emphasizes performing algebraic operations, simplifying expressions, factoring binomials, solving systems using substitution, and applying quadratic relationships including the quadratic formula and determining real solution counts. It also includes word-problem modeling through equations, such as perimeter and mixture concentration scenarios, with answer blanks encouraged when knowledge is limited.",{"@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/intermediate-algebra-practice-placement-exam-math-placement-practice-exam/437069/",{"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/intermediate-algebra-practice-placement-exam-math-placement-practice-exam/437069.png","ImageObject",300,407,{"name":92,"@type":93},"supergirl","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-15","2026-09-29",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},"How many questions are in the Intermediate Algebra Practice Placement Exam?","Question",{"text":112,"@type":113},"The exam contains 24 questions.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What topics does the exam assess?",{"text":117,"@type":113},"It assesses operations and problem-solving in intermediate algebra, including simplifying expressions, factoring, solving systems, and using quadratic methods such as the quadratic formula.",{"name":119,"@type":110,"acceptedAnswer":120},"May a calculator be used, and is it required?",{"text":121,"@type":113},"A basic calculator (four-function, scientific, or graphing) may be used, but every question can be solved without a calculator.","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},437069,1790820605,{"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":34,"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":144},962088121634,"https://ap-avatar.wpscdn.com/davatar_9964176cb1d06d4a9deccf72a44ae3dc","Intermediate Algebra Practice Math Placement Exam  \n▪ This 24-question practice exam measures your ability to perform basic operations and solve problems that involve intermediate algebra skills and concepts.  \n▪ Although you may use a basic four-function, scientific, or graphing calculator, it is possible to solve every question without a calculator.  \n▪ Do not make random guesses. If you have NO KNOWLEDGE of the question, you should leave the answer blank. If you have some knowledge, you may be able to narrow choices and intelligently select the correct answer.  \n▪ You should do your best on this test so that your score reflects your knowledge of mathematics. This result, in turn, allows placement into a math course for which you are prepared and should enable your successful completion of that course.  \nPennsylvania College of Technology  \nMathematics Department  \nIntermediate Algebra Practice Placement Exam  \n1. The diagonal distance across the screen of a television measures 19 inches. What is the actual width of the television if the height of the screen is 10 inches?  \na. 9 inches c. 16.2 inches  \nb. 21.5 inches d. None of these  \n 5k   \n2. The width of a rectangle is represented by ; the length of the rectangle is represented by  \n4h + 6r  \n 7k   \n. Which of the following expressions represents the perimeter of the rectangle? 4h + 6r  \na.  \nb.  \n12k  \n2h + 3r  \n12k  \n4h + 6r  \n24kc. ~~ ~~  \n16h + 24r  \n35k2 d. ~~ ~~  \n(4h + 6r)2  \n3. A chemist has a 20% acid solution and a 50% acid solution. How much of each must be mixed to get 10 liters ofa 30% acid solution? Which of the following systems of equations correctly represents this problem?  \n􀂭x + y = 300 􀂭10 − x = y  \na. 􀂮 c. 􀂮  \n􀂯20x + 30 y = 300 􀂯20x + 50 y = 30  \n􀂭0.20x + 0.50 y = 0.30 􀂭x + y = 10  \nb. 􀂮 d. 􀂮  \n􀂯x + y = 10 􀂯20x + 50 y = 300  \n4. The expression (5a6 )−1/3  \na. ~~ ~~15 a 2  \nb. − 5a   \nis equivalent to which of the following?  \nc.  \nd.  \n− 5a2 1  \n5a 2  \n5. The expression (25x16 )1/2 is equivalent to which of the following?  \na. 5x8 c. 5x4  \nb. 25x8 d. 25x4  \n6. When solving the following system by substitution, which expression could be used?  \n􀂭4x + y = 1 􀂮  \n􀂯−3x + 2 y = −9  \na. 3x −9 c. 1− 4x  \nb. 4x +1 d. 3y +x  \n􀂭m − n = 7  \n7. Solve for m in the following system: 􀂮  \n􀂯3m + 2n = 6  \na. 3 c. −4  \nb. −3 d. 4  \n8. Which binomial is a factor of 6x2 + 7x −3 ?  \na. (3x +1) c. (x +1)  \nb. (3x −1) d. (x +3)  \n9. Find the value of b that makes x2 +bx +36 a perfect square.  \na. 6 c. 36  \nb. 12 d. 324  \n3y2 − 27  \n10. Which expression is equivalent to ~~ ~~ ?  \n3 − y  \na. 3(3 − y) c. −3(3 − y)  \nb. 3( y + 3) d. −3( y +3)  \n11. Find the solution set for (x +1)(x − 2) = 4 .  \na. 􀁞2, −1􀁠  \nb. 􀁞3, 6􀁠  \n12. The solutions of x2 − 2x − 48 = 0 .  \na. −8, −6  \nb. −8, 6  \n13. Which of the following expressions is equivalent to  \na. ~~ ~~x~~ ~~~~ ~~y  \n xy   \nb.  \nx + y  \n14. Add and simplify: y~~ ~~2~~ ~~+~~ ~~2~~ ~~y7~~ ~~y~~ ~~+12 + yy~~ ~~~~ ~~24  \ny 2 + 7 y + 6  \na. ~~ ~~  \n( y + 4)( y + 3)  \ny 2 + 5y + 6  \nb. ~~ ~~  \n( y + 4)( y + 3)  \nc.  \nd.  \nc.  \nd.  \n1   1 + ?  \nx y  \nc.  \nd.  \nc.  \nd.  \n􀁞3, −2􀁠􀁞−3, 2􀁠  \n−6,8  \n6,8  \nx + yy + x  \nx + y xy  \n y 2 + 2 y + 6 ( y + 4)( y + 3)  \n 3y + 2  y 2 + 8y +16  \n15. Which of the following represents a correct step in the process of solving the equation  \nx + 4 3  x  −  7 = 0 ?  \na. 7x + 4 − 3x = 0  \nb. 7x + 28 −3x = 0  \nc. 7(x + 4) = −3x  \nx + 4 − 3  \nd. = 0 x − 7  \n16. Solve: x1 = x~~ ~~1  \na. 􀁞1􀁠 c. 􀁞−1􀁠  \nb. 􀁞1, −1􀁠 d. No solution  \n7   1   1  \n17. Solve: − = y 5 2  \na. 49 c. 10  \n 1   12  \nb. d.  \n10 5  \n18. Simplify completely: 99  \na. 333  c. 33  \nb. 9 11 d. 311  \n19. Perform the indicated operation; simplify answer: ( 3 + 5)2  \na. 28 c. 6 +10  \nb. 28 +103  d. None of these  \n20. Solve using the quadratic formula: x2 + 6x + 2 = 0  \na. −3 􀁲 7  c. 6 􀁲 7  \nb. −3􀁲 27  d. 3􀁲 27  \n21. Determine the number of real solutions to x2 −5x +8 = 0 .  \na. 2 c. 0  \nb. 1 d. Infinitely many  \n22. The difference of a number and 6 time","cbCaisL1eHI18ZLG","https://ap.wps.com/l/cbCaisL1eHI18ZLG","pdf",133704,"English","# Instructions\n# Practice Questions\n## Multiple-Choice Questions (1-24)\n# Solutions","[{\"question\":\"How many questions are in the Intermediate Algebra Practice Placement Exam?\",\"answer\":\"The exam contains 24 questions.\"},{\"question\":\"What topics does the exam assess?\",\"answer\":\"It assesses operations and problem-solving in intermediate algebra, including simplifying expressions, factoring, solving systems, and using quadratic methods such as the quadratic formula.\"},{\"question\":\"May a calculator be used, and is it required?\",\"answer\":\"A basic calculator (four-function, scientific, or graphing) may be used, but every question can be solved without a calculator.\"}]","Intermediate Algebra Practice Placement Exam - Math Placement Practice Exam | PDF",1790680099,18]