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The explanation shows distributing the subtraction, then combining x2y terms and xy2 terms to get the final result.","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},266990,1790077324,{"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":39,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":46,"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":31},1236954412713,"https://us-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Answer Explanations  \nSAT® Practice Test \\#1  \n© 2015 The College Board. College Board, SAT, and the acorn logo are registered trademarks of the College Board. 5KSA09  \nQUESTION 43.  \nChoice D is the best answer because it creates a complete and coherent sentence.  \nChoices A, B, and C are incorrect because each inserts an unnecessary relative pronoun or conjunction, resulting in a sentence without a main verb.  \nQUESTION 44.  \nChoice D is the best answer because it provides a possessive pronoun that is consistent with the sentence’s plural subject “students,” thus creating a grammatically sound sentence.  \nChoices A, B, and C are incorrect because each proposes a possessive pronoun that is inconsistent with the plural noun “students,” the established subject of the sentence.  \nSection 3: Math Test — No Calculator  \nQUESTION 1.  \nChoice D is correct. Since k = 3, one can substitute 3 for k in the equa  \nx − 1 x − 1 x − 1  \ntion _3 = k, which gives _3 = 3. Multiplying both sides of _3 = 3 by 3 gives x − 1 = 9 and then adding 1 to both sides of x − 1 = 9 gives x = 10.  \nChoices A, B, and C are incorrect because the result of subtracting 1 from the value and dividing by 3 is not the given value ofk, which is 3.  \nQUESTION 2.  \nChoice A is correct. To calculate (7 + 3i) + (−8 + 9i), add the real parts of each complex number, 7 + (−8) = −1, and then add the imaginary parts, 3i + 9i = 12i. The result is −1 + 12i.  \nChoices B, C, and D are incorrect and likely result from common errors that arise when adding complex numbers. For example, choice B is the result of adding 3i and −9i, and choice C is the result of adding 7 and 8.  \nQUESTION 3.  \nChoice C is correct. The total number of messages sent by Armand is the 5 hours he spent texting multiplied by his rate of texting: m texts/hour × 5 hours = 5m texts. Similarly, the total number of messages sent by Tyrone is the 4 hours he spent texting multiplied by his rate of texting: p texts/hour × 4 hours = 4p texts. The total number of messages sent by Armand and Tyrone is the sum of the total number of messages sent by Armand and the total number of messages sent by Tyrone: 5m + 4p.  \nChoice A is incorrect and arises from adding the coefficients and multiplying the variables of 5m and 4p. Choice B is incorrect and is the result of multiplying 5m and 4p. The total number of messages sent by Armand and Tyrone should be the sum of 5m and 4p, not the product of these terms. Choice D is incorrect because it multiplies Armand’s number of hours spent texting by Tyrone’s rate of texting, and vice versa. This mix-up results in an expression that does not equal the total number of messages sent by Armand and Tyrone.  \nQUESTION 4.  \nChoice B is correct. The value 108 in the equation is the value of P in P = 108 − 23 d when d = 0. When d = 0, Kathy has worked 0 days that week. In other words, 108 is the number of phones left before Kathy has started work for the week. Therefore, the meaning of the value 108 in the equation is that Kathy starts each week with 108 phones to fix because she has worked 0 days and has 108 phones left to fix.  \nChoice A is incorrect because Kathy will complete the repairs when P = 0.  \n108  \nSince P = 108 − 23d, this will occur when 0 = 108 − 23d or when d = _  \n23 ,  \nnot when d = 108. Therefore, the value 108 in the equation does not represent the number of days it will take Kathy to complete the repairs. Choices Cand D are incorrect because the number 23 in P = 108 − 23P = 108 indicates that the number of phones left will decrease by 23 for each increase in the value of d by 1; in other words, that Kathy is repairing phones at a rate of 23 per day, not 108 per hour (choice C) or 108 per day (choice D) .  \nQUESTION 5.  \nChoice C is correct. Only like terms, with the same variables and exponents, can be combined to determine the answer as shown here:  \n(x2y − 3y2 + 5xy2) − (−x2y + 3xy2 − 3y2)  \n= (x2y − (−x2y)) + (−3y2 − (−3y2)) + (5xy2 − 3xy2)= 2x2y + 0 + 2xy2  \n= 2x2y +","cbCaim4jj985x7Un","https://ap.wps.com/l/cbCaim4jj985x7Un","pdf",267388,"English","# QUESTION 43\n## Grammar choice explanations\n# QUESTION 44\n## Pronoun agreement explanations\n# Section 3: Math Test — No Calculator\n## QUESTION 1\n## QUESTION 2\n## QUESTION 3\n## QUESTION 4\n## QUESTION 5\n## QUESTION 6\n## QUESTION 7\n## QUESTION 8\n## QUESTION 9","[{\"question\":\"Why is Choice D selected for QUESTION 43?\",\"answer\":\"Choice D creates a complete and coherent sentence. The other options add an unnecessary relative pronoun or conjunction, leaving the sentence without a main verb.\"},{\"question\":\"How does the answer explanation for QUESTION 2 handle complex numbers?\",\"answer\":\"It adds real parts and imaginary parts separately: (7 + 3i) + (−8 + 9i) = (−1) + 12i. Incorrect choices come from typical mistakes like adding/subtracting the wrong imaginary components.\"},{\"question\":\"What method is used to solve like terms in QUESTION 5?\",\"answer\":\"Only like terms with the same variables and exponents are combined. The explanation shows distributing the subtraction, then combining x2y terms and xy2 terms to get the final result.\"}]","SAT Math Practice Test 1 - Answer Key Explanations | PDF",1789413801]