Problem Solving Quiz (Calculus 1)

(Calculus 1) I. Problem Solving. Show your CLEAR and COMPLETE SOLUTION to the following problems. For nos. 1-2. Find and show on the real number line the solution set of the inequality. (3 points each item) 1.) 5 - -x - 12 2.) 18x - 1/ 2 5 For no.3. Solve for the following equation for x. (3 points each) 3.) 13x-1| = |4x-6| 4.) Write the general equation of a line passing through (-3,8) parallel to the line 6x - 5y + 15 = 0. 5.) Write the general equation of a line through (6,-7) perpendicular to the line x + 3y - 6 = 0. Il. Problem Solving. Show your CLEAR and COMPLETE SOLUTION as you determine the type of conic section that each general equation will produce. 6.) 4x2 + y2 - 8x - 4y - 28 = 0 7.) 3x2 - 12x - 8y - 4 = 0 8.) 9x2 + 4y2 - 90x - 80y + 193 = 0 9.) 16x2 - y2 - 32x - 6y - 57 10.) 5x2 + 5y2 - 9x - 19y - 26 = 0