MATH 203 Exam 2, Fall 2003

American University of Beirut Mathematics Department Math 203- Spring 2007-2008 Quiz II Time: 60 min Name: __________________ ID#: __________________ Instructors: Mrs. M. Itani Hatab Miss Manal Salam Circle your sections: Section 1: Fr. @ 11:00 Section 3: Fr. @ 2:00 Section 2: Fr. @ 12:00 Section 4: Fr. @ 3:00 ___________________________________________________________________ Part I : Multiple choices with 3.5 points for each correct answer. Circle the correct answer 1. The x-intercept of A) B) C) D) _____________________________________________________________________________ 2. The equation of the straight line passing through (-2,3) and is parallel to the line is A) B) C) D) _____________________________________________________________________________ 3. The slope of the straight line passing through the two points (-1; 5)and (5;-1) is: A) not defined B) 1 C)-1 D) 0 4. The equation of the straight line passing through the two points (-1; 5)and (5;-1) is: A) B) C) D) ______________________________________________________________________________ 5. A step of (2x3) Gaussian elimination method has produced the following array: , then the system has A) no solution B) a unique solution C) exactly two solutions D) infinitely many solutions 6. The solution of the given system can be interpreted graphically; the two planes: A) coincide B) intersect in a straight line C) intersect in one point D) are parallel ___________________________________________________________________________ 1 ( 45.5%) 7. A step of (3x3) Gaussian elimination method has produced the following array: , then the system has A) no solution B) exactly two solutions C) infinitely many solutions D) a unique solution _____________________________________________________________________________ 8. Consider the system The solution set is: A) a straight line B) R (set of real numbers) C) x-y plane D) _____________________________________________________________________________ 9. The domain of definition of is A) B) C) D) _____________________________________________________________________________ 10. The system has: A) no solution B) a unique solution (-3;-2) C) infinitely many solutions D) a unique solution (-2;-3) __________________________________________________________________________ 11. Rider ship on a small regional airline has been declining at linear rate over time. It has been estimated that the number of passengers using the airline can be estimated by the equation: , where n equals the number of passengers using the airline per year and t equals time measured in years The restricted domain and range for the function are respectively: A) B) C) D) ____________________________________________________________________________ 12. The unique solution of the system is: A) (-3, 4) B) (3; 7) C) (-5; 3) D) (5 , 8) 13. The line is : A) the B) perpendicular to the C) parallel to the D) doesn’t intersects the _____________________________________________________________________________ 2 ( 54.5 %) Part II: (Answer each of the following questions. Show your work). 1. Use the Gaussian elimination method to solve the following system of equations, Determine the solution set: (16%) a) (8%) b) Use the back page 3 2. The number of people attending an arts festival from 1996 to 2005 is expected to increase at a linear rate over time .Two data points indicate that the number of people attending during 1999(year 3) is 3400 ,and during 2001(year 5) is 4800. a) Determine the slope and interpret its meaning. b) Determine the slope intercept equation which relates N the number of people attending the art festival to time t stated in years. c) Find the N-intercept and interpret its meaning. 3. consider the system Find the constants a and b if the two straight lines and coincide. 4 (3%) (3%) (3%) (5%) 4. consider the function a. Determine the coordinates of the vertex, the equation of the axis of symmetry, the intercepts of ,and then sketch its graph. b. Find the equation of the straight line that passes through the vertex of the parabola , and is parallel to the line 5 (11.5%) (5 %)