Understand 5 1 1018 12
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This site contains only public permit forms.All Internal FWS forms are now located only on the FWS internal SharePoint site Free Adobe Reader software required to open PDF and PDF-F files. PDF (PDF) files can only be printed and filled out manually. Fillable PDFs (PDF-F) allow fields to be filled in on the screen and printed. To save a filled-in form for later use, you need the full Adobe Acrobat Program. | |||||
Form No. | Format | OPR | Title | Date | Reference |
3-200-2 | PDF-F | OLE | License/Permit Application Form: Designated Port Exception Permit 1018-0092 (expires 2/29/20) | 12/16 | |
3-200-3a | PDF-F | OLE | Federal Fish and Wildlife Permit Application Form: Import/Export License - U.S. Entities 1018-0092 (expires 2/29/20) | 12/16 | |
3-200-3b | PDF-F | OLE | Federal Fish and Wildlife Permit Application Form: Import/Export License - Foreign Entities 1018-0092 (expires 2/29/20) | 12/16 | |
3-200-6 | PDF-F | MBMO | Federal FWS License/Permit Application Form: Migratory Bird Import/Export 1018-0022 (Expires 4/30/21) | 07/19 | Part 13 Certification |
3-200-7 | PDF-F | MBMO | Federal FWS Permit Application Form: Migratory Bird and Eagle Scientific Collecting 1018-0022 (Expires 4/30/21) | 07/19 | Part 13 Certification |
3-200-8 | PDF-F | MBMO | Federal FWS Permit Application Form: Migratory Bird - Taxidermy 1018-0022 (Expires 4/30/21) | 07/19 | Part 13 Certification |
3-200-9 | PDF-F | MBMO | Federal FWS License/Permit Application Form: Waterfowl Sale and Disposal 1018-0022 (Expires 4/30/21) | 07/19 | Part 13 Certification |
3-200-10a | PDF-F | MBMO | Federal FWS License/Permit Application Form: Migratory Bird - Special Purpose - Salvage 1018-0022 (Expires 4/30/21) | 07/19 | Part 13 Certification |
3-200-10b | PDF-F | MBMO | Federal FWS License/Permit Application Form: Migratory Bird Rehabilitation 1018-0022 (Expires 4/30/21) | 07/19 | Part 13 Certification |
3-200-10c | PDF-F | MBMO | Federal FWS Permit Application Form: Special Purpose - Possession Live and/or Dead and Salvage of Migratory Birds for Educational Purposes 1018-0022 (Expires 4/30/21) | 07/19 | Part 13 Certification |
PDF-F | MBMO | Special Purpose – Possession Live and/or Dead and Salvage of Migratory Birds for Educational Purposes. OBSOLETE - Please use 3-200-10c. 1018-0022 (expires 4/30/21) | 04/18 | ||
3-200-10e | PDF-F | MBMO | Federal FWS Permit Application Form: Special Purpose - Migratory Game Bird Propagation 1018-0022 (Expires 4/30/21) | 07/19 | Part 13 Certification |
3-200-10f | PDF-F | MBMO | Federal FWS Permit Application Form: Special Purpose Miscellaneous 1018-0022 (Expires 4/30/21) | 07/19 | Part 13 Certification |
3-200-12 | PDF-F | MBMO | Federal FWS Permit Application Form: Migratory Bird - Raptor Propagation 1018-0022 (Expires 4/30/21) | 04/18 | Part 13 Certification |
3-200-13 | PDF-F | MBMO | Federal FWS Permit Application Form: Migratory Bird - Depredation 1018-0022 (Expires 4/30/21) | 07/19 | Part 13 Certification |
3-200-14 | PDF-F | MBMO | License/Permit Application Form: Eagle Exhibition 1018-0022 (Expires 4/30/21) | 07/19 | Part 13 Certification |
3-200-15a | PDF-F | MBMO | Permit Application/Order Form: Eagle Parts for Native American Religious Purposes 1018-0022 (Expires 4/30/21) | 07/19 | Part 13 Certification |
PDF-F | MBMO | Eagle Parts for Native American Religious Purposes - Reorder Request. OBSOLETE - Please use Form 3-200-15a 1018-0022 (Expires 4/30/21) | 04/18 | ||
3-200-16 | PDF-F | MBMO | Federal FWS Permit Application Form: Take of Depredating Eagles & Eagles that Pose a Risk to Human or Eagle Health or Safety 1018-0022 (Expires 4/30/21) | 07/19 | Part 13 Certification |
3-200-18 | PDF-F | MBMO | Federal FWS Permit Application Form: Migratory Bird - Take of Golden Eagle Nests During Resource Development or Recovery 1018-0022 (Expires 4/30/21) | 07/19 | Part 13 Certification |
3-200-19 | PDF-F | DMA | Permit Application Form: Import of Sport-Hunted Trophies of Southern African Leopard and Namibian Southern White Rhinoceros 1018-0093 (Expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-20 | PDF-F | DMA | Federal Fish And Wildlife Permit Application Form: Import of Sport-Hunted Trophies 1018-0093 (Expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-21 | PDF-F | DMA | Federal Fish and Wildlife Permit Application Form: Import of Sport-Hunted Trophies of Argali 1018-0093 (Expires 08/31/20) | 07/17 | Part 13 Certification |
MBMO | 3-200-21-2143 is superseded by Form 3-2436. 1018-0146 (Expires 1/31/21) | 10/17 | |||
3-200-22 | PDF-F | DMA | Federal Fish and Wildlife Permit Application Form: Import of Sport-Hunted Bontebok Trophies from South Africa 1018-0093 (Expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-23 | PDF-F | DMA | Permit Application Form: Export or Re-Export of Pre-Convention, Pre-Act, or Antiques Specimens(CITES,MMPA and/or ESA) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-24 | PDF-F | DMA | Permit Application Form: Export of Live Captive-Born Animals and/or Part/Products from Non-Native Species under the Convention on International Trade in Endangered Species (CITES) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-25 | PDF-F | DMA | Permit Application Form: Export of Live Raptors under the Convention on International Trade in Endangered Species (CITES) and/or Migratory Bird Treaty Act (MBTA) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-26 | PDF-F | DMA | Permit Application Form: Commercial Export of Skins of 6 Native Species: Bobcat, Lynx, River Otter, Alaskan Brown Bear, Alaskan Gray Wolf, and American Alligator (CITES) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-27 | PDF-F | DMA | Permit Application Form: Export of Wildlife Removed from the Wild (Live/Samples/ Parts/Products) under the Convention on International Trade in Endangered Species (CITES) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-28 | PDF-F | DMA | Permit Application Form: Export of Trophies by Hunters or Taxidermists under the Convention on International Trade in Endangered Species (CITES) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-29 | PDF-F | DMA | Permit Application Form: Export/Re-Export/Master File of Wildlife Samples and/or Biomedical Samples under the Convention on International Trade in Endangered Species (CITES) 1018-0093 (expires 8/31/20) | 08/17 | Part 13 Certification |
3-200-30 | PDF-F | DMA | Permit Application Form: Export/Re-export/Re-Import of Traveling Exhibitions (and Reissuance) under the CITES and/or ESA 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-30a | DMA | Annual Report for Exhibition Permittees 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification | |
3-200-31 | PDF-F | DMA | Permit Application Form: Introduction from the Sea under the Convention on International Trade in Endangered Species (CITES) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-32 | PDF-F | DMA | Permit Application Form: Export/Re-Export of Plants and Plant Products under the Convention on International Trade in Endangered Species (CITES) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-33 | PDF-F | DMA | Permit Application Form: Export of Artificially Propagated Plants (Single and Multiple Commercial Shipments) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-34 | PDF-F | DMA | Permit Application Form: Export of American Ginseng under the Convention on International Trade in Endangered Species (CITES) (Multiple commercial shipments) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-35 | PDF-F | DMA | Permit Application Form: Import of Wild Collected Appendix-I Plants under the Convention on International Trade in Endangered Species (CITES) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-36 | PDF-F | DMA | Permit Application Form: Export/Re-Export/Import/Interstate and Foreign Commerce of Plants under the Convention on International Trade in Endangered Species (CITES) and/or the U.S. Endangered Species Act (ESA) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-37 | PDF-F | DMA | Permit Application Form: Export/Re-Export/Import/Interstate & Foreign Commerce/Take of Animals(Live/ Samples/Parts/Products) CITES and/or ESA) 1018-0093 (Expires 08/31/20) | 07/17 | Part 13 Certification |
3-200-39 | PDF-F | DMA | Permit Application Form: Certificate of Scientific Exchange (COSE) under the Convention on International Trade in Endangered Species (CITES) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-39a | DMA | Certificate of Scientific Exchange (COSE) Special Reporting Conditions 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification | |
3-200-40 | PDF-F | DMA | Permit Application Form: Export and Re-Import of Museum Specimens under the U.S. Endangered Species Act (ESA) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-40a | DMA | ESA Museum Permittee Reporting Requirements 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification | |
3-200-41 | PDF-F | DMA | Permit Application Form: Captive-Bred Wildlife Registration (CBW)(U.S. Endangered Species Act) 1018-0093 (Expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-41a | PDF-F | DMA | Captive-Bred Wildlife Registration (Annual Report Form) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-42 | PDF-F | DMA | Permit Application Form: Import/ Acquisition/Transport of Injurious Wildlife under the Lacey Act 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-43 | PDF-F | DMA | Permit Application Form: Take/Import/Export of Marine Mammals for Public Display, Scientific Research, Enhancement, or Rescue/ Rehabilitation/Release Activities or Renewal/Amendment of Existing Permit (MMPA and/or ESA) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-44 | PDF-F | DMA | Permit Application Form: Registration of an Agent/Tannery under the Marine Mammal Protection Act (MMPA) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-44a | PDF-F | DMA | Registered Agent/Tannery Bi-Annual Inventory Report 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-46 | PDF-F | DMA | Permit Application Form: Import/Export/Re-Export of Personal Pets under the Convention on International Trade in Endangered Species (CITES) and/or the U.S. Endangered Species Act (ESA) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-47 | PDF-F | DMA | Permit Application Form: Import of Birds for Scientific Research or Zoological Breeding and Display under the Wild Bird Conservation Act (WBCA) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-48 | PDF-F | DMA | Permit Application Form: Import of Birds under an Approved Cooperative Breeding Program under the Wild Bird Conservation Act (WBCA) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-49 | PDF-F | DMA | License/Permit Application Form: Approval, Amendment or Renewal of a Cooperative Breeding Program under the Wild Bird Conservation Act (WBCA) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-50 | PDF-F | DMA | Permit Application Form: Approval of Sustainable Use Management Plan Under the Wild Bird Conservation Act (WBCA) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-51 | PDF-F | DMA | License/Permit Application Form: Approval of a Foreign Breeding Facilities under the Wild Bird Conservation Act (WBCA) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-52 | PDF-F | DMA | License/Permit Application Form: Reissuance, Renewal, or Amendment of a Permit 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-53 | PDF-F | DMA | Permit Application Form: Export/Re-Export of Live Captive-Held Marine Mammals under the Convention on International Trade in Endangered Species (CITES) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-54 | PDF-F | ES | License/Permit Application Form: Native Endangered & Threatened Species - Enhancement of Survival Permits Associated with Safe Harbor Agreement & Candidate Conservation Agreement with Assurances 1018-0094 (Expires 3/31/21) | 10/17 | Part 13 Certification |
THIS FORM IS REPLACED WITH EITHER FORM 3-200-59 or 3-200-60. | 10/17 | Part 13 Certification | |||
3-200-56 | PDF-F | ES | Incidental Take Permits Associated with a Habitat Conservation Plan 1018-0094 (Expires 3/31/21) | 10/17 | Part 13 Certification |
3-200-58 | PDF-F | DMA | Permit Application Form: Permit Issued Retrospectively - Supplemental Application (CITES) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-59 | PDF-F | ES | Federal FWS Permit Application Form: Native Endangered & Threatened Species - Scientific, Enhancement of Propagation, or Survival (i.e., Purposeful Take for Recovery) 1018-0094 (expires 3/31/21) | 01/20 | |
3-200-60 | PDF-F | ES | Federal FWS Permit Application Form: Native Endangered & Threatened Species - Interstate Commerce 1018-0094 (expires 3/31/21) | 01/20 | |
3-200-61 | PDF-F | DMA | Permit Application Form: American Ginseng Export Program (CITES) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Cerfification |
3-200-64 | PDF-F | DMA | Permit Application Form: Certificate of Ownership for Personally Owned Wildlife 'Pet Passport' under the Convention on International Trade in Endangered Species (CITES) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-65 | PDF-F | DMA | Permit Application Form: Registration of Appendix-I Commercial Breeding Operations under the Convention on International Trade in Endangered Species (CITES) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-66 | PDF-F | DMA | Permit Application Form: Replacement Document (CITES/ESA/MMPA/WBCA/LACEY ACT) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-67 | PDF-F | MBMO | Permit Application Form: Special Canada Goose Permit 1018-0022 (Expires 4/30/21) | 07/19 | Part 13 Certification |
3-200-69 | PDF-F | DMA | License/Permit Application Form: Transport of Bald and Golden Eagles from the U.S. for Scientific or Exhibition Purposes under CITES 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-70 | PDF-F | DMA | License/Permit Application Form: Transport of Bald and Golden Eagles from and to the U.S. for Indian Religious Purposes under (CITES) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-71 | PDF-F | MBMO | Federal FWS Application: Eagle Take – Associated with but not the Purpose of an Activity (INCIDENTAL TAKE) 1018-0022 (Expires 4/30/21) | 07/19 | |
3-200-72 | PDF-F | MBMO | Permit Application Form: Eagle Nest Take 1018-0022 (Expires 4/20/21) | 07/19 | Part 13 Certification |
3-200-73 | PDF-F | DMA | Permit Application Form: Re-Export of Wildlife under the Convention on the International Trade in Endangered Species (CITES) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-74 | PDF-F | DMA | Permit Application Form: Partially Complete Certification under a Master File or an Annual Program File under the Convention on the International Trade in Endangered Species (CITES) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-75 | PDF-F | DMA | Permit Application Form: Registration of a Production Facility for Export of Certain Native Species under the Convention on International Trade in Endangered Species (CITES)(Multiple Commercial Shipments) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-76 | PDF-F | DMA | Permit Application Form: Export of Caviar or Meat of Paddlefish or Sturgeon Removed from the Wild under CITES 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-77 | PDF-F | MBMO | Permit Application Form: Native American Eagle Take for Religious Purposes 1018-0022 (Expires 4/30/21) | 07/19 | Part 13 Certification |
3-200-78 | PDF-F | MBMO | Permit Application Form: Native American Tribal Eagle Aviary 1018-0022 (Expires 4/30/21) | 07/19 | Part 13 Certification |
3-200-79 | PDF-F | MBMO | Permit Application Form: Special Purpose: Abatement Activities Using Raptors 1018-0022 (Expires 4/30/21) | 07/19 | Part 13 Certification |
3-200-80 | PDF-F | DMA | Permit Application Form: Export of Fertilized Live Eggs, Caviar or Meat from Aqua-Cultured Paddlefish or Sturgeon under CITES 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-81 | PDF-F | MBMO | Permit Application Form: Special Purpose - Utility 1018-0022 (Expires 4/30/21) | 07/19 | Part 13 Certification |
3-200-82 | PDF-F | MBMO | Permit Application Form - Bald Eagle or Golden Eagle Transport into the United States for Scientific or Exhibition Purposes 1018-0022 (Expires 4/30/21) | 07/19 | Part 13 Certification |
3-200-85 | PDF-F | DMA | Permit Application Form: Establishment of a Master File for the Export of Live Animals Bred in Captivity under CITES (Multiple Commercial Shipments) 1018-0093 (expires 8/31/20) | 7/17 | Part 13 Certification |
3-200-86 | PDF-F | DMA | Permit Application Form: Photography of Marine Mammals for Educational or Commercial Purposes (MMPA) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-200-87 | PDF-F | DMA | Permit Application Form: Transfer / Transport of Captive-held Marine Mammals (MMPA) 1018-0093 (Expires 8/21/20) | 08/17 | Part 13 Certification |
3-200-88 | PDF-F | DMA | Permit Application Form: Pre-Convention, Pre-Act, or Antique Musical Instruments Certificate (CITES, MMPA and/or ESA) 1018-0093 (expires 8/31/20) | 07/17 | Part 13 Certification |
3-202-1 | PDF-F | MBMO | Scientific Collecting - Annual Report 1018-0022 (Expires 4/30/21) | 07/19 | |
3-202-2 | PDF-F | MBMO | Waterfowl Sale and Disposal - Annual Report 1018-0022 (Expires 4/30/21) | 07/19 | |
3-202-3 | PDF-F | MBMO | Special Purpose - Salvage - Annual Report 1018-0022 (Expires 4/30/21) | 07/19 | |
3-202-4 | PDF-F | MBMO | Rehabilitation - Annual Report 1018-0022 (Expires 4/30/21) | 07/19 | |
3-202-5 | PDF-F | MBMO | Special Purpose - Possession for Education - Annual Report 1018-0022 (Expires 4/30/21) | 07/19 | |
3-202-6 | PDF-F | MBMO | Special Purpose - Game Bird - Annual Report 1018-0022 (Expires 4/30/21) | 07/19 | |
3-202-7 | PDF-F | MBMO | Special Purpose / Miscellaneous - Annual Report 1018-0022 (Expires 4/30/21) | 07/19 | |
3-202-8 | PDF-F | MBMO | Raptor Propagation - Annual Report 1018-0022 (Expires 4/30/21) | 07/19 | |
3-202-9 | PDF-F | MBMO | Depredation - Annual Report 1018-0022 (Expires 4/30/21) | 07/19 | |
3-202-10 | PDF-F | MBMO | Special Canada Goose Permit - Annual Report 1018-0022 (Expires 4/30/21) | 07/19 | |
3-202-11 | PDF-F | MBMO | Eagle Depredation - Annual Report 1018-0022 (Expires 4/30/21) | 07/19 | |
3-202-12 | PDF-F | MBMO | Migratory Bird and Eagle Acquisition and Transfer Request Report Form 1018-0022 (Expires 4/30/21) | 07/19 | |
3-202-13 | PDF-F | MBMO | Eagle Exhibition Annual Report 1018-0022 (Expires 4/30/21) | 07/19 | |
3-202-14 | PDF-F | MBMO | Native American Eagle Aviary - Annual Report 1018-0022 (Expires 4/30/21) | 07/19 | |
3-202-15 | PDF-F | MBMO | Eagle Take - Annual Report 1018-0022 (Expires 4/30/21) | 07/19 | |
3-202-16 | PDF-F | MBMO | Eagle Nest Take Report 1018-0022 (Expires 4/30/21) | 07/19 | |
3-202-17 | Excel | MBMO | USFWS Bird and Bat Injury and Mortality Reporting System (Excel Version) 1018-0022 (Expires 4/30/21) | 04/18 | |
3-202-55a | Excel | ES | Bat Survey Data Report: Region 2 1018-0094 (Expires 3/31/21) | 03/18 | |
3-202-55b | Excel | ES | Bat Survey Data Report, Region 3 1018-0094 (Expires 3/31/21) | 03/18 | |
3-202-55c | Excel | ES | Bat Survey Data Report, Region 4 1018-0094 (Expires 3/31/21) | 03/18 | |
3-202-55d | Excel | ES | Bat Survey Data Report, Region 5 1018-0094 (Expires 3/31/21) | 03/18 | |
3-202-55e | Excel | ES | Bat Survey Data Report, Region 6 1018-0094 (Expires 3/31/21) | 03/18 | |
3-202-55f | ES | Non-Releasable Sea Turtle Annual Report 1018-0094 (Expires 3/31/21) | 03/18 | ||
3-202-55g | ES | Sea Turtle Rehabilitation Quarterly Report 1018-0094 (Expires 3/31/21) | 03/18 | ||
3-202-55I | ES | Instructions for Electronic Submittal of Bat Survey Data for USFWS 2018 (Forms 3-202-55ba - 3-202-55e). 1018-0094 (Expires 3/31/21) | 03/18 |
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Standards in this domain:
Understand solving equations as a process of reasoning and explain the reasoning.
Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.
Solve equations and inequalities in one variable.
Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
Solve quadratic equations in one variable.
Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x - p)2 = q that has the same solutions. Derive the quadratic formula from this form.
Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.
Solve systems of equations.
Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.
Understand 5 1 1018 1200
Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = -3x and the circle x2 + y2 = 3.
Understand 5 1 1018 128
(+) Represent a system of linear equations as a single matrix equation in a vector variable.
(+) Find the inverse of a matrix if it exists and use it to solve systems of linear equations (using technology for matrices of dimension 3 × 3 or greater).
Represent and solve equations and inequalities graphically.
Understand 5 1 1018 12 Times
Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).
Understand 5 1 1018 12a
Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.*
Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.