Practice Test 1 on College Algebra | MATH 140, Exams of Algebra

Download Practice Test 1 on College Algebra | MATH 140 and more Exams Algebra in PDF only on Docsity! TEST 1 - MATH 140 DATE: Friday, January 20 INSTRUCTOR: George Voutsadakis Read each problem very carefully before starting to solve it. Each question is worth 5 points. It is necessary to show your work. Correct answers without explanations are worth 0 points. GOOD LUCK!! 1. (a) Solve x2 − 11x + 18 = 0 by factoring. (2 points) (b) Solve (5x− 1)2 = 9 by the Square Root Method. (1 point) (c) Solve 7− 3x ≤ −2 and express the solution in interval notation. (2 points) 2. (a) Find the length of the straight line segment with endpoints (−1, 4) and (3,−5). (3 points) (b) Find the midpoint of the straight line segment with endpoints (−7, 19) and (−2,−3). (2 points) 3. (a) Find two points on the graph of the equation y = −2x + 6. (1 point) (b) Sketch the graph of the equation y = −2x + 6 using the points that you found in the previous part. (2 points) (c) Find the x- and the y-intercepts of the graph of y = −2x + 6. (2 points) 4. (a) Test the equation y = x x3−3 for symmetry with respect to the origin. (2 points) (b) Graph the equation (x− 1)2 + y2 = 9. (1 point) (c) Find the center and the radius of the circle with equation x2 + y2 − x + 2y + 1 = 0. (2 points) 5. (a) If f(x) = x 2−1 x+4 find f(x + 1). Simplify your answer. (2 points) (b) Find the domain of f(x) = x−2 x3−x . (3 points) 1