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UNL MATH 103 - Exam Practice 3

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NAME:MATH 103 Gateway Exam Practice 330 October 2008100 pointsInstructions:1. This exam has 4 pages (including this one), which contain 10 questions. Please check that youhave all of the pages.2. When an answer box is given, write your answer in the box. Nothing outside the answer boxwill be graded.3. Do your work on scratch paper, not on this exam.4. You may not use a book, notes, a calculator, or anything except a writing instrument, an eraser,and scratch paper for this exam.5. There will be no partial credit given. You must get 8 out of 10 questions completely correctin order to pass this exam. A passing score on this exam will give you 100 points toward yourgrade for this course.6. You have 50 minutes to complete this exam.Question 1. Select all intervals for which |3 − 10x| > 7 is true.(1, ∞)(−2/5, 1)(−∞, −2/5)(−∞, −1)(−1, 2/5)Question 2. If cos θ = 1/2 and 0 ≤ θ ≤ π/2, what is θ in radians?ANSWERPage 1Question 3. Which of the following graphs best represents y = 3 cos2π3x?(a) (b)(c) (d)Question 4. Match the following graphs with their formulas.1. ln(x − 3)2. 2(x − 1)2− 43. 10x+ 34. (x − 2)4Question 5. Find the equation for the secant line of y = −3x2from (−1, −3) to (1, −3).ANSWERPage 2Question 6. Given the graph of y = f(x) below, select the graph of y = −f (x + 2) + 5.(a) (b)(c) (d)(e) None of the othersQuestion 7. What are cos θ, sin θ, and csc θ?ANSWERQuestion 8. Find the solution(s) to the equation log(5 + 4y) − log(3 + y) = log 3.ANSWERPage 3Question 9. Solve the equation H =kA(t2− t1)L1for L1.(a)HkA(t2− t1)(b)1H − kA(t2− t1)(c) None of the others(c)kA(t2− t1)H(d) HkA(t2− t1)Question 10. Given the graph of y = f(x) below, select all intervals on which the function isdecreasing.(4, ∞)(−2, 2)(−4, 0)(−∞, −5)(−5, 0)Page


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