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The material includes notes on calculator requirements and solution shortcuts, plus worked examples that demonstrate both algebraic methods and strategy-based approaches like testing answer choices and selecting convenient numbers. 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It is illegal to copy, distribute, or create derivative works from this book in whole or in part or to contribute to the copying, distribution, or creating of derivative  \nworks of this book.  \nBOOKS BY DR. STEVE WARNER FOR COLLEGE BOUND STUDENTS  \n28 New SAT Math Lessons to Improve Your Score in One Month Beginner Course  \nIntermediate Course  \nAdvanced Course  \nNew SAT Math Problems arranged by Topic and Difficulty Level New SAT Verbal Prep Book for Reading and Writing Mastery  \n320 SAT Math Subject Test Problems  \nLevel 1 Test  \nLevel 2 Test  \nThe 32 Most Effective SAT Math Strategies SAT Prep Official Study Guide Math Companion SAT Vocabulary Book  \n320 ACT Math Problems arranged by Topic and Difficulty Level  \n320 SAT Math Problems arranged by Topic and Difficulty Level  \n320 AP Calculus AB Problems  \n320 AP Calculus BC Problems  \n555 Math IQ Questions for Middle School Students  \n555 Advanced Math Problems for Middle School Students  \n555 Geometry Problems for High School Students Algebra Handbook for Gifted Middle School Students  \nCONNECT WITH DR. STEVE WARNER  \nPROBLEMS BY LEVEL AND TOPIC WITH FULLY EXPLAINED SOLUTIONS  \nNote: An asterisk (*) before a question indicates that a calculator is required. An asterisk (*) before a solution indicates that the quickest solution is being given.  \nLEVEL 1: HEART OF ALGEBRA  \n1. An author has a book available in paperback and digital formats. The author earns $2 .47 on each paperback sale and $3 .56 for each digital download. Which of the following expressions represents the amount, in dollars, that the author earns if 􀝌 paperbacks are sold and 􀝀 digital books are downloaded?  \n(A) 2.47􀝌 + 3. 56􀝀  \n(B) 2.47􀝌 − 3. 56􀝀  \n(C) 3. 56􀝌 + 2.47􀝀  \n(D) 3. 56􀝌 − 2.47􀝀  \n* Algebraic solution: The total amount the author earns from paperback sales, in dollars, is 2 .47􀝌 and the total amount the author earns in digital downloads is 3. 56􀝀 . So all together the total amount that the author earns is 2 .47􀝌 + 3. 56􀝀 , choice A.  \nNotes: (1) If 1 paperback is sold, the author earns 2.47 dollars.  \nIf 2 paperbacks are sold, the author earns 2.47 ⋅ 2 = 4.94 dollars.  \nIf 3 paperbacks are sold, the author earns 2.47 ⋅ 3 = 7.41 dollars.  \nFollowing this pattern, we see that if 􀝌 paperbacks are sold, the author earns 2 .47􀝌 dollars.  \n(2) A similar analysis to what was done in Note (1) shows that if 􀝀 digital books are downloaded, the author earns 3. 56􀝀 dollars. Try plugging indifferent values for 􀝀 , starting at 􀝀 = 1, so that you can see this for yourself.  \nSolution by picking numbers: Let’s suppose that 10 paperbacks were sold and the book was downloaded 2 times. Then we have 􀝌 = 10 and 􀝀 = 2.  \nThe total amount the author earns from paperback sales, in dollars, is 2.47 ⋅ 10 = 24.70. The total amount the author earns from digital downloads is 3.56 ⋅ 2 = 7.12 So the total the author earns, in dollars, is 24.70 + 7.12 = 􀫜􀫚 . 􀫡􀫛 .  \nPut a nice big dark circle around 􀫜􀫚 . 􀫡􀫛 so you can find it easier later. We now substitute 􀝌 = 10 and 􀝀 = 2 into each answer choice:  \n(A) 24.7 + 7.12 = 31.82  \n(B) 24.7 − 7.12 = 17.58  \n(C) 35.6 + 4.94 = 40.54  \n(D) 35.6 − 4.94 = 30.66  \nSince B, C and D each came out incorrect, the answer is choice A.  \nImportant note: A is not the correct answer simply because it is equal to 31.82. It is correct because all three of the other choices are not 31.82. You absolutely must check all four choices!  \nRemark: All of the above computations can be done in a single step with your calculator (if a calculator is allowed for this problem) .  \nNotes about picking numbers: (1) Observe that we picked a different number for each variable. We are less likely to get more than one answer choice to come out to the correct answer this way.  \n(2) We picked numbers that were simple, but not too simple. In general we might want to avoid 0 and 1 because more than one choice is likely to come out correct with these choices. ","cbCaigrs1yWJkjQn","https://ap.wps.com/l/cbCaigrs1yWJkjQn","pdf",4418043,33,"English","# Level 1: Heart of Algebra\n## Problems and fully explained solutions\n## Calculator and quickest-solution notes\n## Strategy guidance (plugging in, choosing numbers)","[{\"question\":\"How are the SAT math problems organized in this book?\",\"answer\":\"Problems are arranged by level and topic, starting with Level 1: Heart of Algebra, and each question includes fully explained solutions.\"},{\"question\":\"What does an asterisk (*) mean before a question or a solution?\",\"answer\":\"An asterisk before a question indicates a calculator is required; an asterisk before a solution indicates the quickest solution is being given.\"},{\"question\":\"What strategy is recommended for solving SAT multiple-choice questions?\",\"answer\":\"The book emphasizes trying each answer choice, commonly referred to as plugging in the answer choices, and checking all four options when computing results.\"}]","320 SAT Math Problems - Level 1: Heart of Algebra | PDF",83]