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choice.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},438197,1791071606,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & 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questions:\u003Cbr>1. The sum of two negative numbers is always a   .\u003Cbr>(A) Negative number\u003Cbr>(B) Positive number\u003Cbr>(C) Even number\u003Cbr>(D) Odd number\u003Cbr>\u003Cbr>2. Which subset of real numbers contains 3√2 + 1 ?\u003Cbr>(A) Irrational Numbers\u003Cbr>(B) Rational Numbers\u003Cbr>(C) Integers\u003Cbr>(D) Whole Numbers\u003Cbr>3. Perform the indicated operations and write the answer in the simplest form:( − 􀜽1􀜾225 ÷ 122􀜽53~~ ~~􀜾~~ ~~ ) × − ~~ ~~745􀜾􀜽2 = 􀝓ℎ􀝁􀝎􀝁 􀜽 ≠ 0 , 􀜾 ≠ 0\u003Cbr>(A)  5 \u003Cbr>16 􀜽 􀜾\u003Cbr>(B)  􀜾 3  1125 􀜽 3\u003Cbr>(C)  9􀜽5 􀜾\u003Cbr>−\u003Cbr>125 (D)  5 􀜽 2 􀜾 2 \u003Cbr>−\u003Cbr>16 􀜽 3 􀜾 3 |\n\n4. Evaluate 8 + 16 ÷ 4 × 5 − 3  \n(A) 31  \n(B) 27  \n(C) 25  \n(D) 16  \n\n| 5. | Evaluate 4 – 5 · [5 –(42 – 2)]\u003Cbr>(A) 9\u003Cbr>(B) 13\u003Cbr>(C) 49\u003Cbr>(D) 69 |\n| --- | --- |\n| 6. | The statement “81 is the product of a number and three times the same number” is expressed by which of the following equations?\u003Cbr>(A) 81 = 􀝔 (􀝔 + 3)\u003Cbr>(B) 81 = 􀝔 ∙ 3􀝔\u003Cbr>(C) 81 = 3􀝔(􀝔 + 3)\u003Cbr>(D) 81 = 3􀝔 ∙ 3􀝔 |\n| 7. | The solution of the equation 3 (􀝔 + 1) = 􀝔 + 2 is:(A) 2\u003Cbr>(B) ~~ ~~12\u003Cbr>(C) −2 (D) − 12 |\n| 8. Which of the following represents the graph of the solution to the inequality −12 ≤ 2􀝔 − 4 \u003C 10 ?\u003Cbr>(A)\u003Cbr>(B)\u003Cbr>(C)\u003Cbr>(D)\u003Cbr>|  |\n\n9. What is the leading coefficient in the polynomial 19 􀝔 3 − 32 􀝔 + 11 ?(A) − 32  \n(B) ~~ ~~19  \n(C) 3  \n(D) 11  \n\n| 10. | The quotient and the remainder of (􀝔5 + 􀝔 2 + 􀝔 + 1) ÷ (􀝔2 − 1) are:  \u003Cbr>(A) Quotient: 􀝔 3 − 􀝔 + 1 Remainder: 2\u003Cbr>(B) Quotient: 􀝔 3 − 2 Remainder: 3\u003Cbr>(C) Quotient: 􀝔 3 + 􀝔 + 1 Remainder: 2􀝔 + 2\u003Cbr>(D) Quotient: 􀝔 3 + 2􀝔 Remainder: 3􀝔 + 1 |\n| --- | --- |\n| 11. | Expand the binomial (2􀝔 − 3)3 (A) 6􀝔3 − 36􀝔2 − 54􀝔 + 27 (B) 6􀝔3 − 18􀝔2 + 27􀝔 − 27 (C) 8􀝔3 − 36􀝔2 + 54􀝔 − 27 (D) 8􀝔3 − 6􀝔2 + 6􀝔 − 27 |\n| 12. | 􀝔 3 − 􀝔 2 + 􀝔 − 1 is equivalent to: ______________________.\u003Cbr>(A) (1 − 􀝔)(􀝔2 − 1)\u003Cbr>(B) (􀝔 − 1)(􀝔2 − 1)\u003Cbr>(C) (1 − 􀝔)(􀝔2 + 1)\u003Cbr>(D) (􀝔 − 1)(􀝔2 + 1) |\n| 13. | 2􀝔2 + 􀝔 − 3 =  \u003Cbr>(A) (2􀝔 + 1)(􀝔 − 3)\u003Cbr>(B) (2􀝔 − 1)(􀝔 + 3)\u003Cbr>(C) (2􀝔 + 3)(􀝔 − 1)\u003Cbr>(D) (2􀝔 − 3)(􀝔 + 1) |\n\n14. Factor completely (4􀝔2 − 2􀝔)  \n(A) 􀝔 (4􀝔2 − 2)  \n(B) 2 (2􀝔2 − 2􀝔)  \n(C) 2􀝔(2􀝔 − 1)  \n(D) 4􀝔(􀝔 − 1)  \n\n| 15. | Given that 􀯫~~ ~~~~ ~~4 ÷ 􀜭 = 􀯫~~ ~~−2~~ ~~4 , which expression is equivalent to K ?\u003Cbr>(A)  2􀝔 \u003Cbr>􀝔 2 − 16\u003Cbr>(B) 􀝔 2 − 16 2􀝔\u003Cbr>(C)  2􀝔2 \u003Cbr>􀝔 − 4\u003Cbr>(D) 􀝔224 |\n| --- | --- |\n| 16. | 8􀯫+8􀯬 42\u003Cbr>~~ ~~ · ~~ ~~ =\u003Cbr>4 48􀯫+48􀯬\u003Cbr>(A)  7  4 (􀝔 + 􀝕)\u003Cbr>(B)  7 (􀝔 + 􀝕) 4\u003Cbr>7\u003Cbr>(C) ~~  ~~32 7\u003Cbr>(D) ~~  ~~4 |\n| 17. | The LCM (Least Common Multiple) of the polynomials 8􀝔2 − 6􀝔 − 9 􀜽􀝊􀝀 16􀝔2 − 9 is:\u003Cbr>(A) (2􀝔 − 3)(4􀝔 + 3)2 (4􀝔 − 3)\u003Cbr>(B) (2􀝔 − 3)(4􀝔 + 3)(4􀝔 − 3)\u003Cbr>(C) (2􀝔 − 3)(4􀝔 − 3)2\u003Cbr>(D) (2􀝔 − 3)(4􀝔 + 3)2 |\n\n18.  \nWhich of the following expressions is equivalent to  \n(A)  4􀝔 + 4 9􀝔 − 4  \n(B)  4􀝔  9􀝔 − 4  \n(C)  6􀝔 + 4√􀝔 9􀝔 − 4  \n(D)  6􀝔 − 4√􀝔 9􀝔 − 4  \n2√􀯫  \n3√􀯫  −2  \n?  \n\n| 19. | 1 (32􀯫13􀯬 18)3\u003Cbr>Simplify  1\u003Cbr>(􀯫3􀯬 3 )3\u003Cbr>(A) 2􀝔􀝕 3√2􀝔􀝕\u003Cbr>(B) 2􀝔􀝕 3√2􀝔  \u003Cbr>(C) 2􀝔3􀝕 5 3√4􀝔􀝕\u003Cbr>(D) 2􀝔3􀝕 5 3√4􀝔 |\n| --- | --- |\n| 20. | Simplify 5 √27 − 6 √3\u003Cbr>(A) −√30\u003Cbr>(B) −√24\u003Cbr>(C) 9 √3\u003Cbr>(D) 9 √6 |\n| 21. | What is the LCD (Least Common Denominator) of the equation 􀯫~~ ~~~~ ~~2~~ ~~ + 􀯫~~ ~~~~ ~~2~~ ~~ = 1􀯫02􀯫−−42 ?\u003Cbr>(A) 􀝔 2 – 4\u003Cbr>(B) 􀝔 2 − 16\u003Cbr>(C) 10􀝔 − 2\u003Cbr>(D) 12􀝔 − 2 |\n\n22. The solution set of the inequality 2 ≤ 4􀝔 + 6 \u003C 8 is:   . 1  \n(A) [−5 −4] 2 ,  \n(B) [−4, 2]  \n(C) [−4, 2)  \n(D) [−1, 12)  \n\n| 23. | Which of the following equations has 2 and −10 as solutions?\u003Cbr>(A) 􀝔 2 − 40􀝔 − 20 = 0\u003Cbr>(B) 􀝔 2 + 40􀝔 − 20 = 0\u003Cbr>(C) 􀝔 2 + 8􀝔 − 20 = 0\u003Cbr>(D) 􀝔 2 + 20 = 0 |\n| --- | --- |\n| 24. | For which value(s) of 􀜿 does the equation √√􀝔 + 4 − √􀜿 = 0 has a solution.\u003Cbr>(A) 􀜿 = −4\u003Cbr>(B) 􀜿 = 0\u003Cbr>(C) 0 \u003C 􀜿 \u003C 4\u003Cbr>(D) 􀜿 ≥ 4 |\n| 25. | The solution set of the equation x 4 − 2x3 − x 2 + 2x = 0 is  \u003Cbr>(A) {−1, 0, 1, − 3}\u003Cbr>(B) {−1, 0, 1, − 2}\u003Cbr>(C) {−1, 0, 1, 3}\u003Cbr>(D) {−1, 0, 1, 2} |\n| 26. | The solution set of the equation 􀯫2 = 1 + 2 is   .\u003Cbr>(A) {−20, 10}\u003Cbr>(B) {8, −10}\u003Cbr>(C) {−8, ","cbCaidqey4PqAayU","https://ap.wps.com/l/cbCaidqey4PqAayU","pdf",1186069,18,"English","# Section 1: Elementary Algebra\n## Multiple-choice questions (1-30)\n# Section 2: Pre-Calculus\n## Multiple-choice questions (31-38)","[{\"question\":\"What topics are covered in Section 1 of the sample test?\",\"answer\":\"Section 1 focuses on elementary algebra skills such as evaluating expressions, solving equations and inequalities, working with polynomials, factoring, expanding binomials, and simplifying radicals.\"},{\"question\":\"How do Section 2 questions use functions and graphs?\",\"answer\":\"Section 2 includes questions that require interpreting graph information to solve inequalities, determine domains, and select the correct graph or solution set from multiple-choice options.\"},{\"question\":\"What is the format of the answers in this test?\",\"answer\":\"Most problems are multiple-choice, where you choose one option (A–D) corresponding to the correct result, equation form, solution set, or graph/domain choice.\"}]","QU-Placer Math Sample Test - Section 1: Elementary Algebra - Answer the following questions | PDF",1790684555,45]