Math Review for Precalculus and Calculus Part I: Algebra Introduction Algebra is the language of calculus, and calculus is needed for science and engineering. 2 0 obj endobj endobj 11 0 obj x�ZKo�F��W�q���c�:@�4�ChA��4,d)��M�}g_E.��������3��|��=��*�P�3�/�_h�^-$��� �3�d.�T-�ы%#)�h�}I�r�t���v�(��)�W�i�w_ç׻����7Z��n����E�5B�a ���攰4oF8��s!��/��é�ٰ�w��%�$����d�o����&\ $iFw.S�U�\&��� �ju(����1|\~+v{�������ޅ�o��"��\ &�M����qu,w��/PH�D�u�yNx�*�~b�:��0���@ RjN�����w�������G8�"SAR�p�!��f�B��� %��������� O*��?�����f�����`ϳ�g���C/����O�ϩ�+F�F�G�Gό���z����ˌ��ㅿ)����ѫ�~w��gb���k��?Jި�9���m�d���wi獵�ޫ�?�����c�Ǒ��O�O���?w| ��x&mf������ Simplify the exponential expression. [ /ICCBased 52 0 R ] 15 0 obj ��K0ށi���A����B�ZyCAP8�C���@��&�*���CP=�#t�]���� 4�}���a � ��ٰ;G���Dx����J�>���� ,�_“@��FX�DB�X$!k�"��E�����H�q���a���Y��bVa�bJ0՘c�VL�6f3����bձ�X'�?v 6��-�V`�`[����a�;���p~�\2n5��׌���� �&�x�*���s�b|!� When you attack a real-world problem, you want to represent the problem using algebra expressions. %PDF-1.3 Math Review for Precalculus and Calculus Part I: Algebra Introduction Algebra is the language of calculus, and calculus is needed for science and engineering. << /Length 14 0 R /Filter /FlateDecode >> << /Length 5 0 R /Filter /FlateDecode >> Each of the 4 sections in this manual contains material for: *College Algebra / PreCalculus / Trigonometry 1. �0t�]�U+�7�T�".1D��_�o��I�[�±ik �&h����MА�/ �P �����8Z���B@��yo�xB96w���� k����Q}XJ\*E�@����)��^g�9�7js[�fe/cD�]v 6{��BK��^g��\O��ћb��"nd����j"g�ג���w�X�����7'��A�s_�h�^m�c9�S��/�!u��s1�ۆy�@����!u�Ș�� rR͢HB�&�x=�����ˑ����eod�$n W��&�~�4%�gm�!k�{ ��mO�A�;��9�d$W)Cܙo����{xѻb�6m����&L�8x6�m��*ex�q�l���i _�"��͡.Q���A�Rʆ��m?���Fܴc�����q�(�J`2Z�7C�M������ۜ�E��? [7A�\�SwBOK/X/_�Q�>Q�����G�[��� �`�A�������a�a��c#����*�Z�;�8c�q��>�[&���I�I��MS���T`�ϴ�k�h&4�5�Ǣ��YY�F֠9�=�X���_,�,S-�,Y)YXm�����Ěk]c}džj�c�Φ�浭�-�v��};�]���N����"�&�1=�x����tv(��}�������'{'��I�ߝY�)� Σ��-r�q�r�.d.�_xp��Uە�Z���M׍�v�m���=����+K�G�ǔ����^���W�W����b�j�>:>�>�>�v��}/�a��v���������O8� � The goal of Chapter 0 is exactly that: to review the concepts, skills and vocabulary we believe are prerequisite to a rigorous, college-level Precalculus course. 12 0 obj 19 0 obj Place answers in the blanks, when provided. 5 0 obj ����~��vwp;P�,18ϰO�zx�kt���kޓ�Hj�踁��ׁPa�P���2v˱\�k�W���C;$���އ 0EP�V�� '���Q�뺆���!~�>�����*�����c-y��c�Ԭ�z�K����M"$�ě'��~2�k �:�M}v���w'82Pv���?_������)(������i���R\K���/=�4c=CԄ� hC�Ĵ�)�͈7������׬��n6�\�};��v.�]��I���*ʛ��7��m�3�O#��h�/d�^�g�hk�g�+�=Q���p"(J�g�X����ߔ�# endobj View PreCalculus Factoring Review Packet.pdf from MATH 14404 at University Of Georgia. This review sheet is a summary of most of the main topics that you should already be familiar with from your pre-calculus and trigonometry course(s), and which I expect you to know how to use and be able to follow if I use them in passing. x}��r�0��~�=�3tѮ,�:B���4�"(����>�s���N��e This review covers the major topics in the material that will be tested on the final exam. << /ProcSet [ /PDF /Text ] /ColorSpace << /Cs1 17 0 R /Cs2 18 0 R >> /Font endobj Precalculus Final Exam Review 2014 – 2015 You must show work to receive credit! endobj When you read technical books, you want to be comfortable deciphering and Assume that variables represent nonzero real numbers. 4 0 obj 1885 �c�t�ިU��Wv/a^� )Mă$p��zY��0�@���L���0�� a�x I8��Vu� �0��#��/w6��Fo�eh�ν�@1�� e2a$��A��>zx��]��X���As��X�-�+����m~nw��Y廒l�%ɵ̑����f��D7 a��\��Ʌ+�����Ĥ��+�~?ب�9 ������% ����. Types of Numbers 1. endobj 54 0 obj << /Type /Page /Parent 3 0 R /Resources 6 0 R /Contents 4 0 R /MediaBox [0 0 612 792] 31 0 R 32 0 R 33 0 R 34 0 R 35 0 R 36 0 R 37 0 R 38 0 R 39 0 R 40 0 R 41 0 R When you attack a real-world problem, you want to represent the problem using algebra expressions. 14 0 obj 4�.0,` �3p� ��H�.Hi@�A>� Find the domain of the function. AAF Review for College Algebra, PreCalculus, and Trigonometry Taking the placement test will only allow you to possibly begin your math sequence at a higher level. endobj endstream endobj >> << /ProcSet [ /PDF ] >> 10 0 obj endobj << /Type /Page /Parent 3 0 R /Resources 15 0 R /Contents 13 0 R /MediaBox [ 20 0 R 21 0 R 22 0 R 23 0 R 24 0 R 25 0 R 26 0 R 27 0 R 28 0 R 29 0 R 30 0 R stream endobj 2612 << /Type /Page /Parent 3 0 R /Resources 11 0 R /Contents 9 0 R /MediaBox [0 0 612 792] endstream This review is not designed to teach the material to students who have never seen it before thus the presenta-tion is more succinct and the exercise sets are shorter than those usually found in an Intermediate Algebra text. ficial, if not completely necessary, to review what students should know before embarking on a Precalculus adventure. PreCalculus (H) Factoring Review Packet Name_ 10.08.2020 Factoring is the reverse of multiplying. endobj �5�:�k\+X+��=G!��1��9Q,�e�$��d��ww0����������Œ���N�o�t��8m���M���`��ioc�ZP1 2��@�.��g,�t�E�!%�0�H*�r�� )]��m� ��V>��h���5F�f�1���GU9�����t�A�1V�b�C�J5٪[@��V"�i�lV �[��aM������+����E�,��U�D�$�h��6 �C��)��m?�9����M�o��l�I!��rfX��S�G1P����j�&Wg�&�E��!��ۇ܈ER(�&�L��+��*����*�ٌS�iNI����r���^��cy�n������Zl�q,��cy�S�ژ���C�pR!�7�gV����M#�4�"oh��q�U��٬"OX���R% ��70uP����uЙm?֓���=���wf���~���t�"�/�O�;P�m�g�p-�F9d�� A1�v�jp ԁz�N�6p\W� p�G@ PRECALCULUS REVIEW Name_____ MULTIPLE CHOICE. 11 ��.3\����r���Ϯ�_�Yq*���©�L��_�w�ד������+��]�e�������D��]�cI�II�OA��u�_�䩔���)3�ѩ�i�����B%a��+]3='�/�4�0C��i��U�@ёL(sYf����L�H�$�%�Y�j��gGe��Q�����n�����~5f5wug�v����5�k��֮\۹Nw]������m mH���Fˍe�n���Q�Q��`h����B�BQ�-�[l�ll��f��jۗ"^��b���O%ܒ��Y}W�����������w�vw����X�bY^�Ю�]�����W�Va[q`i�d��2���J�jGէ������{�����׿�m���>���Pk�Am�a�����꺿g_D�H��G�G��u�;��7�7�6�Ʊ�q�o���C{��P3���8!9������-?��|������gKϑ���9�w~�Bƅ��:Wt>���ҝ����ˁ��^�r�۽��U��g�9];}�}��������_�~i��m��p���㭎�}��]�/���}������.�{�^�=�}����^?�z8�h�c��' #�;�"��J����^���G��/�T���4*/dU�}K2v�>8Sg�3{C�]���:���H/��۽���`cd����UU� Fc��>'tћ�|�N�B42���)���]0��܏���`���]��6s5V���v���f���g� j���@�����%�� 6 0 obj We review here a few of the most important ideas from algebra that are needed for calculus. << /T1.0 7 0 R /T2.0 16 0 R >> >> �~���'�y���d)�"����� �4;N� ��S"2G�A�Q�faR��䟊Z��o��a���},lL吒B#�M�E��8&����#ĩ��qA,5��ܠ�":g��|T��xo~,���b�.�r��c��#g$�d�r6+�|}��4�{�!�XF��e�ELm�%3rY(N8m�MC1P6��`{i�����chubiB�U���9��� It does not give you any math credits towards a degree. Choose the one alternative that best completes the statement or answers the question. For this reason, the mathematics department set out to create a new course with a specific set of goals in mind: • A review of the essential mathematicsneeded to … 53 0 obj It is not necessarily all inclusive and additional study and problem solving practice may be required to fully prepare for the final exam. stream 2 PRE1: Review of geometry 4 3 PRE2: Trigonometric functions 13 4 PRE3: Trigonometric identities 46 5 PRE4: Trigonometric equations and inequalities 72 6 PRE5: Application to Triangles 104 7 PRE6: Vectors 123 8 PRE7: Sequences and series 143 9 PRE8: Conic sections 161 Within the real numbers, there are some import special types of numbers that are frequently used in mathematics. This review sheet is a summary of most of the main topics that you should already be familiar with from your pre-calculus and trigonometry course(s), and which I expect you to … 52 0 obj To factor an stream Types of Numbers Precalculus, and calculus, takes place within the context of the real numbers. Note: The AAF test will be multiple-choice. endobj 9 0 obj 13 0 obj >> y��\ _ �Թb� eb]�R1��k�$�A\ x+T � � �FV>2 u�����/�_$\�B�Cv�< 5]�s.,4�&�y�Ux~xw-bEDCĻH����G��KwF�G�E�GME{E�EK�X,Y��F�Z� �={$vr����K���� When you read technical books, you want to be comfortable deciphering and working with these expressions. 42 0 R 43 0 R 44 0 R 45 0 R 46 0 R 47 0 R 48 0 R 49 0 R 50 0 R 51 0 R ] x��wTS��Ͻ7��" %�z �;HQ�I�P��&vDF)VdT�G�"cE��b� �P��QDE�݌k �5�ޚ��Y�����g�}׺ P���tX�4�X���\���X��ffG�D���=���HƳ��.�d��,�P&s���"7C$

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