Chapter 1 project – 16 questions

Chapter 1 project – 16 questions
Chapter 1 Project , section s 1-7 Due June 2 3rd, 2022 Name_________________________ There are 16 questions , and you must do 15 of them for full credit on the p roject. I recommend attempting all of them, as extra credit will be give n if you do all 16 questions. Each question is worth 5 points for a total of 75 points, with 5 points available for extra credit . You are to work on the projects independently. You can turn in the project in our class meeting , or submit the project in the assignment section of the D2L as one complete pdf by the due date. You may hand write or type the project . Please show all work for full or partial credit, using the methods discussed in class. Each question will be graded based on the following rubric. 5 Points A five -point response answers the question correctly.  demonstrates a thorough understanding of the mathematical topics  may contain minor errors that do not detract from the demonstration of understanding  indicates that the student has completed t he task correctly, using mathematically sound procedures, all required work is provided 3-4 Points A three -four -point response is partially correct.  demonstrates partial understanding of the mathematical topics and/or procedures embodied in the task  addre sses most aspects of the task, using mathematically sound procedures  may contain errors and/or an incorrect solution but provides complete procedures, reasoning, and/or explanations, all required work is provided 1-2 Point A one -two -point response is inco mplete and exhibits flaws but is not completely incorrect.  demonstrates only a limited understanding of the mathematical topics and/or procedures embodied in the task  may address some elements of the task correctly but reaches an inadequate solution and/or provides reasoning that is faulty or incomplete  exhibits multiple flaws related to misunderstanding of important aspects of the task, misuse of mathematical procedures, or faulty mathematical reasoning  may contain correct numerical answer(s) but required work is not provided 0 Points A zero -point response is incorrect.  insufficient in demonstrating an understanding of the mathematical topics embodied in the task.  the required work is not provided  may contain answers that are incorrect, irrelevant, inco herent, or are correct but arrived at using an obviously incorrect procedure. Project Chapter 1, section s 1-7, page 2 1. Solve the equation, write the solution in set notation, and check your answer. 5+ 5= 3+ 11 2. Solve the absolute value equation. Write the solution in set notation. |+ 6.2|= 8.4 3. Determine the center and radius of the following circle and sketch the graph. (− 3)2= 4− (+ 2)2 Project Chapter 1, section s 1-7, page 3 4. Sketch the graph of the linear equation by finding and graphing the x – and y – intercepts. 2+ 3= 12 5. Write the equation in slope -intercept form and identify the slope and y -intercept of the line. 4− 3= 6 Slope = y-intercept = 6. Sketch the gra ph of the equation in question 5 , using the slope and y -intercept. Project Chapter 1, section s 1-7, page 4 7. Solve the equation by factoring. Write solution in set notation. 2− 40 = 3 8. Solve the equ ation by using the square root property. Write solution in set notation. (− 5)2= −16 9. Solve the equation by completing the square. Write solution in set notation. 2− 2− 4= 0 10 . Solve the equation using the quadratic formula. Write solution in set notation. 22+ 3− 2= 0 11 . Solve the equation using the method of your choice. Write solution in set notation. 2− 6= −13 Project Chapter 1, section s 1-7, page 5 12. Solve the equation using the method of your choice. Write solutio n in set notation. 3− 22− 3+ 6= 0 13 . Solve the equation using the method of your choice. Write solution in set notation. 22− 7− 4= 0 14 . Solve the equation by factoring . Find all real and imaginary solutions to the equation. Write sol ution in set notation. 4− 81 = 0 15 . Solve the absolute value equation. Write solution in set notation. |2− 2|= 3 16 . Solve the absolute value inequality. Write the solution set using interval notation and graph it. |+ 1|> 6