Study Sheet: Exam 2 Chapter 3 (3.1-­‐3.4, 3.6, 3.7), Chapter 4 (4.1-­‐4.3), and first part of Chapter 5 (5.1-­‐5.3) OBJECTIVES: 1. Quick-­‐draw© (sketch) a line with the equation in any form, point-­‐slope, slope intercept, or general. Sample Problems: Ch3 Test: 6, 7 2. Quick-­‐draw© (sketch) transformations of a function such as f(x) = x2, f(x) = x or f(x) = |x| For example, f(x) = (x+1)2 or f(x) = |x| -­‐2 Sample Problems: Ch3 Test: 4, 16, 17, 19 3. Given two points you will be able to find the distance between them, the slope of a line passing through them, and an equation of the line containing them. Sample Problems: Ch3 Test: 2, 5, 6, 7, 8, 18 4. Write the equation of a vertical line, a horizontal line, or a line parallel/perpendicular to a given line through a given point. Sample Problems: Ch3 Test: 9, 10 5. Given an equation or graph you will determine if it is a function and give the domain and the range, find the x and y-­‐intercepts and find values like f(-­‐3). Sample Problems: Ch3 Test: 3, 12, 14, 15 6. You will be able to solve systems of two equations in two unknowns stating whether the system has a unique solution, an infinite number of solutions or no solutions. Sample Problems Ch 4 Test: 2-­‐5, 15 7. You will be able to simplify expressions with integer exponents and using scientific notation. Sample Problems: Ch5 Test: 3-­‐4, 8. Polynomials: Add, subtract, and multiply polynomials. Sample Problems: Ch5 Test: 1, 5-­‐9 (Write answers in standard form and identify degree and leading coefficient). 9. You will be able to find the area and volume of a shape when given the dimensions as polynomials. Sample Problems: Ch5 Test: 20, 21, 22 NOTE: Unlike the homework quizzes the exams will NOT be based on assigned textbook exercises. The sample problems listed on this study sheet are to help clarify the meaning of the stated objectives and serve as a starting place in your review of the material. The best way to prepare for the exam is to make sure you understand the material and can communicate that understanding with your work. Some Formulas to remember: Slope, midpoint, and distance formulas Forms of a line (slope-­‐intercept, point-­‐slope, general) Transformations of functions (shifts & reflections) Rules of exponents Geometry formulas (perimeter & area of a rectangle, volume of a rectangular prism) Practice quick-­‐draw. Try these, then check with a graphing program or calculator. -­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐ 1. a b. c. 3x-­‐2y = 6 y = -­‐2/3x+2 y = -­‐2 -­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐ 2.a. b. c. f (x) = −x + 2 f (x) = x +1 f (x) = x +1 − 2 -­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐ €
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3. a. f (x) = −x 2 − 2 b. €
f (x) = (x + 2) 2 c. f (x) = −(x − 3) 2 What to expect on Friday, October 21st (and every other midterm day in this class). €
€ a total of 100 points. Some € of the questions have • Exam 2 will be worth multiple parts. • You should bring a pencil(s) and an eraser. • You should NOT bring a pen, calculator, cell phone, iPod, any other electronics, headphones, notes, scratch paper, etc. • You will be required to turn your ball caps with the brim backwards. • If anyone has any restricted material out during the exam for any reason they will receive a zero on the exam – No questions asked. (This includes cell phones, iPods, headphones, calculators, etc.) • It is unacceptable to talk during an exam. If you are talking during the exam will receive a zero on the exam. • You will not be allowed to leave the classroom until your exam has been turned in. • Once you have turned in your exam it will not be available to you until it has been graded. • Coming late to the exam results in less time to complete the exam. And you will not be allowed to take the exam if any person in the class has turned in their exam and left. (The best plan is to be on-­‐time… better yet be early.) • You will be assigned a seat for the exam.