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Includes multiple-choice prompts on negative numbers and simplifying algebraic expressions, definitions using variables and exponents, scientific notation, slope and intercept from coordinate pairs, and graph interpretation for solutions. Also tests procedural steps such as distributing, rearranging, and determining remaining fractions in area models.",{"@graph":69,"@context":123},[70,84,106],{"@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/practice-placement-test-geometry-algebra-diagnostic-pretest/459856/",{"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/practice-placement-test-geometry-algebra-diagnostic-pretest/459856.png","ImageObject",300,407,{"name":92,"@type":93},"Rainbow Cat","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-20","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",11,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What types of questions are included in this practice placement test?","Question",{"text":113,"@type":114},"The test includes multiple-choice questions on writing equations from word problems, solving linear systems, factoring polynomials, simplifying expressions, solving quadratics, and working with inequalities and graphs.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How does the test assess algebra skills like factoring and solving?",{"text":118,"@type":114},"It provides prompts such as factoring expressions like 25x² − 16y², solving equations like 2x² + 5x − 3 = 0, and solving systems such as 3x + 4y = 11 with x − 2y = −3.",{"name":120,"@type":111,"acceptedAnswer":121},"Does the test include coordinate geometry and graph-reading items?",{"text":122,"@type":114},"Yes. It asks for slope and y-intercept from given points or equations, determines when lines are perpendicular, finds intercepts such as the y-axis crossing, and selects graphs representing inequality solutions.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},459856,1791122756,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":52,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":145},962090769181,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","7. Find the equation that best represents the following word problem:  \nIn a certain freshman class, the number of girls is 83 less than twice the number of boys (b). The total number of students in that freshman class is 259. How many boys and girls are in that class?  \nA) b + 2b = 259-83 B) b + 2b – 83 = 259  \nC) b + 83 – 2b = 259 D) b + 2b = 259  \nE) NOTA  \n8. Factor: 6x2 – 13x – 5  \nA) (6x + 5)(x – 1) B) (3x + 1)(2x – 5)  \nC) (6x – 1)(x + 5) D) (2x – 1)(3x + 5) E) NOTA  \n9. Which one of the following equals a negative number?  \nA) (-5) + 9  \nB) (-9) + 5  \nC) 9 + 5  \nD) 5 + (-9) + 4  \nE) 9 –(-5)  \n10. Solve the system of equations: 3x + 4y = 11 x – 2y = – 3  \nA) x = 1 y = 2 3  \nB) x = -1 y = 4  \nC) x = 2 y = – 3  \nD) x = 1 y = – 2  \nE) NOTA  \n11. Factor: 25x2 – 16y2  \nA) (5x – 4y)2 B) 5 (5x – 4y) C) (5x + 4y)(5x – 4y)  \nD) (5x + 2y)(5x – 8y) E) NOTA  \n12. Solve: 2x2 + 5x – 3 = 0  \n1   3   1  \nA) 3, 2 B) –3, C) , 1 D) 3, E) NOTA  \n2 2 2  \n13. If 3xyy  01 then y =  \nA) 1 B) 3 C) –2 D) 713~~ ~~ E) – 1  \n14.  1  \nSolve: y + 28 = −5  \n3  \nA)–11 B) 11 C) 99 D) 96 E) NOTA  \n15. Solve: 3x + 17 – 5x = 12 –(6x + 3)  \nA)2 B) 4 C) 0 D) – 4 E) NOTA  \n16. You and three friends are eating a pizza with 12 pieces. Each person eats the same number of pieces. Let x represent the number of pieces each person eats. Which of the following equations is an algebraic model for the situation?  \n1  \nA) 3x = 12 B) x = 12 C) 4x = 12  \n3  \n 1  \nD) x = 12 E) NOTA 4  \n17. (3x + 4)2 =  \nA) 9x2 + 12x + 16 B) 9x2 + 16 C) 9x2 + 24x + 16  \nD) 9x + 16 E) 25x2  \n18. Solve: 3x (x – 4)(3x + 5) = 0  \n5   5   5  \nA) 4, − B) – 4, − , 3, 0 C) − , 4, 0  \n3 3 3  \nD) 4,–5, 0 E) NOTA  \n19. One of the solutions of the equation: 3x2 + 11x = 4 is 11  1  \nA) 0 B) − C) 4 D) E) NOTA  \n3 3  \n20. Simplify: (3cd6)3 (cd)4  \nA) 27c7d10 B) 27c7d13 C) 9c7d22  \nD) 27c12d72 E) 27c7d22  \n21. Simplify: (4c4 + 1)–(7c3– 3) + (2c4 + 5c3)  \nA) 6c4 + 2c3 – 4 B) 6c4 – 2c3 + 4 C) 6c4 – 2c3 – 2  \nD) 2c4 – 2c3 – 2 E) 4c + 4  \n22. The number ten is raised to a power between 0 and 1. The answer has to be between which two numbers?  \nA) 0 and 1  \nB) 1 and 10  \nC) 10 and 100 but not 5  \nD) 0 and 100 but not 50  \nE) – 10 and 0  \n23. Which of the following is the least?  \n1   3   2   \nA) .27 B) C) D) E) 11%  \n4 8 11  \n24. If x = 2 and y = −3, then −xy² =  \nA) −36 B) −18 C) −12 D) 12 E) 18  \n25. Which is closest to the distance between A and B on the number line?  \nA B  \n-4 0 4  \nA) -9 B) -5 C) 13 D) 5 E) 12  \n26. Define p ~ q by the equation p ~ q = p2q3 – 3q. Then 2 ~ 3 = A) 108 B) 27 C) 99 D) 117 E) 89  \n27. If 7x + 4 = -19 + 5x, then 2x – 14 equals  \nA) 23 B) -23 C) -3 D) 16 E) NOTA  \n28. Which of the following best describes the circled part of the statement?  \n7x + 9 = 40  \nA) Coefficient  \nB) Variable  \nC) Term  \nD) Expression  \nE) Solution  \n29. Solve for x:  \n5x – 10 = 2 – 2x + 10(x – 3)  \nA) 6 B) 3 C) -3 D) -14 E) NOTA  \n30. Solve for r: A = p + prt  \n A   A−p  \nA) B) t(A – p) C)  \n1 +tp pt  \nD)  pt  E) NOTAA−p  \n31. One factor of 5x2 – 3x – 2 is  \nA) 5x+2 B) 5x-2 C) x+1 D) 5x+1 E) 5x-1  \n32. Write the answer in proper scientific notation: (7 x 105) x (3 x 104)  \nA) 21 x 109 B) 21 x 1020 C) 2.1 x 108  \nD) 2.1 x 107 E) NOTA  \n33. Factor: 8a2 − 17a + 2  \nA) (2a − 2)(4a − 1) B) a (8a − 17) + 2 C) (8a − 2)(a − 1)  \nD) (8a + 1)(a − 2) E) (8a − 1)(a − 2)  \n34. Find a possible middle term to make this polynomial factorable: x2 +   + 20  \nA) 12x B) 13x C) 7x D) 3x E) -10x  \n35.  x2 y 6 z 3  \n=  \n2 2  \nx y  \nA) y4 B) y4z3 C) z3 D) xy z E) y6z3  \n36. (y² + 2y – 3)–(4y² – 5y – 2) =  \nA) – 3y² – 9y + 5 B) – 3y² – 9y + 1 C) – 3y² –y + 5  \nD) – 3y² + y – 5 E) – 3y² + 7y – 1  \n37. The solutions of the equation 2x2 − 6x − 8 = 0 are:  \n 1  \nA) −4 and 1 B) 2, 4 and −1 C) −2 and  \n2  \n−1  \nD) 2 and 2 E) −1 and 4  \n38. Find the x-coordinate of the system:  \n3x + 3y = 4  \nx – 3y = 1  \n6   1   5   5  \nA) B) C) 1 D) E)  \n5 3 4 3  \n39. Find the slope of the line that passes through (4, 7) and (1, 3)  \n−4   −3  3   4  ","cbCaiqXLR4JKintj","https://ap.wps.com/l/cbCaiqXLR4JKintj","pdf",116844,"English","# Question Set\n## Algebra Skills\n## Equations and Inequalities\n## Polynomials and Factoring\n## Graphs, Slope, and Coordinate Geometry\n## Area and Fractions","[{\"question\":\"What types of questions are included in this practice placement test?\",\"answer\":\"The test includes multiple-choice questions on writing equations from word problems, solving linear systems, factoring polynomials, simplifying expressions, solving quadratics, and working with inequalities and graphs.\"},{\"question\":\"How does the test assess algebra skills like factoring and solving?\",\"answer\":\"It provides prompts such as factoring expressions like 25x² − 16y², solving equations like 2x² + 5x − 3 = 0, and solving systems such as 3x + 4y = 11 with x − 2y = −3.\"},{\"question\":\"Does the test include coordinate geometry and graph-reading items?\",\"answer\":\"Yes. It asks for slope and y-intercept from given points or equations, determines when lines are perpendicular, finds intercepts such as the y-axis crossing, and selects graphs representing inequality solutions.\"}]","Practice Placement Test - Geometry - Algebra Diagnostic Pretest | PDF",1790757110,25]