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petersons.com/publishing check out our web site at www.petersons.com/publishing to see if there is any new information regarding the test and any revisions or corrections to the content of this book. we’ve made sure the information in this book is accurate and up-to-date; however, the test format or content may have changed since the time of publication. about thomson peterson’s thomson peterson’s (www.petersons.com) is a leading provider of education information and advice, with books and online resources focusing on education search, test preparation, and financial aid. its web site offers searchable databases and interactive tools for contacting educational institu- tions, online practice tests and instruction, and planning tools for securing financial aid. peterson’s serves 110 million education consumers annually. for more information, contact peterson’s, 2000 lenox drive, lawrenceville, nj 08648; 800-338- 3282; or find us on the world wide web at www.petersons.com/about. ® 2005 thomson peterson’s, a part of the thomson …
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........................................................vii 1. operations with whole numbers and decimals ................................................................. 1 diagnostic test • addition of whole numbers • subtraction of whole numbers • multiplication of whole numbers • division of whole numbers • addition or subtraction of decimals • multiplication of decimals • division of decimals • the laws of arithmetic • estimating answers • retest • solutions to practice exercises 2. operations with fractions ...................................................................................................19 diagnostic test • addition and subtraction • multiplication and division • simplifying fractions • operations with mixed numbers • comparing fractions • retest • solutions to practice exercises 3. verbal problems involving fractions .................................................................................. 39 diagnostic test • part of a whole • finding fractions of fractions • finding whole numbers • solving with letters • retest • solutions to practice exercises 4. variation ................................................................................................................................53 diagnostic test • ratio and proportion • direct variation • inverse variation • retest • solutions to practice exercises …
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solutions to practice exercises 7. averages ..............................................................................................................................103 diagnostic test • simple average • to find a missing number when an average is given • weighted average • retest • solutions to practice exercises 8. concepts of algebra—signed numbers and equations .................................................115 diagnostic test • signed numbers • solution of linear equations • simultaneous equations in two unknowns • quadratic equations • equations containing radicals • retest • solutions to practice exercises 9. literal expressions .............................................................................................................133 diagnostic test • communication with letters • retest • solutions to practice exercises contentsvi www.petersons.com 10. roots and radicals .............................................................................................................143 diagnostic test • addition and subtraction of radicals • multiplication and division of radicals • simplifying radicals containing a sum or difference • finding the square root of a number • retest • solutions to practice exercises 11. factoring and algebraic fractions ....................................................................................155 diagnostic test • simplifying fractions • addition or subtraction of fractions • …
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..............................................................................................197 diagnostic test • areas • perimeter • right triangles • coordinate geometry • parallel lines • triangles • polygons • circles • volumes • similar polygons • retest • solutions to practice exercises 14. inequalities ..........................................................................................................................231 diagnostic test • algebraic inequalities • geometric inequalities • retest • solutions to practice exercises 15. numbers and operations, algebra, and fractions ..........................................................243 16. additional geometry topics, data analysis, and probability ........................................273 practice test a ....................................................................................................................313 practice test b ....................................................................................................................319 practice test c ....................................................................................................................327 solutions to practice tests ................................................................................................333 vii about the sat purpose of the sat the sat is a standardized exam used by many colleges and universities in the united states and canada to help them make their admissions decisions. the test is developed and administered by educational testing service (ets) for the col- lege entrance examination board. the sat consists of two different types of exams designated sat and sat …
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ing the sat the sat is offered on one saturday morning in october, november, december, january, march, may, and june. when you apply to a college, find out whether it requires you to take the sat and if so when scores are due. to make sure your scores arrive in time, sign up for a test date that’s at least six weeks before the school’s deadline for test scores. registration forms for the sat are available in most high school guidance of- fices. you can also get registration forms and any other sat information from: college board sat program p.o. box 6200 princeton, nj 08541-6200 609-771-7600 monday through friday, 8:30 a.m. to 9:30 p.m. eastern time www.collegeboard.com along with your registration form you will receive a current sat student bulletin. the bulletin includes all necessary information on procedures, exceptions and spe- cial arrangements, times and places, and fees. about the …

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petersons.com/publishing check out our web site at www.petersons.com/publishing to see if there is any new information regarding the test and any revisions or corrections to the content of this book. we’ve made sure the information in this book is accurate and up-to-date; however, the test format or content may have changed since the time of publication. about thomson peterson’s thomson peterson’s (www.petersons.com) is a leading provider of education information and advice, with books and online resources focusing on education search, test preparation, and financial aid. its web site offers searchable databases and interactive tools for contacting educational institu- tions, online practice tests and instruction, and planning tools for securing financial aid. peterson’s serves 110 million...

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