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Exam 2 Review Sheet

# Exam 2 Review Sheet - Math 096 Exam 2 Study Guide EXAM 2...

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Unformatted text preview: Math 096 Exam 2 Study Guide EXAM 2 will be in class on Thursday, November 3, 2011 1. The exam covers Sections 8.4, 9.1—9.4, 10.1-10.5, along with review problems. The exam will be closed book and closed notes. You can use your calculator. 2. Practice doing problems without using the book or your notes. I will only test you on ideas we have covered in class or on your homework. 3. Review the topics and do the problems listed below. If a certain problem type is diffiCUlt for you, do some other problems like it in the book for more practice. . 4. Do not wait until the night before the exam to begin studying. Eat breakfast the morning of the exam! Make sure to show all your work. 6. Do not skip an exam. Check my syllabus for exam policy. U'l Problems 1. Find the domain of the following functions: —3x2 4x 17x a.fx= b.hx= c. x:— H x—5 H 3x—12 g” x2+x—20 2. Write the equation of the line that contains the points... Write in y = mx + b form a. (2,0) and (4, 6) b. (-2, 5) and (-6, 3) c. (-2, -4) and (-4, -3) 3. Write the equations used for a... a. Direct Variation b. Inverse Variation c. Joint Variation 4. Solve the following... The maximum weight a rectangular beam can support varies jointly as its width and the square of its height and inversely as its length. If a beam V2 foot wide, 1/3 foot high, and 18 feet long can support 10 tons, ﬁnd how much a similar beam can support if the beam is V: foot wide, Va foot high, and 17 feet long. (Round to one decimal place) 5. Graph the function by ﬁnding and plotting ordered pairs. Make sure to label at least 3 points on the graph. a. f(x)= l x-2] b. g(x)= l x 1 —2 c. h(x)=x2—2 6. Solve the compound inequalities. Write solution in interval notation. Graph solution on a number line to make it easier to see answer: —3x+1 a.x+137AND3x-135b.x+4<OOR6xg-12 c. 45:: 4 \$2 7. Solve the absolute value equations: 2x—S a. |5x+3|=7 b.3lx-1|+15=21 c. 3 =7 8. Solve the absolute value inequality. Write solution in interval notation. Hint-draw a number line to help you write the solution. a. |x+3|<2 b. |x+5[+228 9. Graph: a. -2x+5y>-10 b. x+y_<_1 10. Graph the solution of the system: a. y_>_x+lwithy_>_—x+3 b. b.y<3x-4withygx+2 11. If f(x) =-\I'2X —3 ﬁnd the function values: f(2) and f(6) 12. If g(x} =v‘X—4 ﬁnd the function values: g(8) and g(6) 13. If h(x) = 3 x+2 ﬁnd the function values: h(-1) and MS) 14. Graph f(x) = J): by plotting points and state domain and range. 15. Graph f(x) = «(x — 3 by plotting points and state domain and range. For problems 16 - 20, use properties of exponents tosimplify each expression. Write with positive exponents. Assume all variable represent positive numbers. ‘ l 2 2 —1 5 * _ _ 16. X: X: [zxsyaj 3* E 19. .______ 17. X X 2 a x V 73 18- T a s 73 20. x3 x3—x5 For problems 21 - 32, simplify: 21. ’JE 27. m+2ﬁ J36 22. 23- 3x/S—2 28. w/ZUX — 64125x + 45x J5 24, — 29. 42 6 +Jﬁ J. ( J 245 26 713/4é3x4y8 31. (ﬂ +21ﬂ—2) 32. (J5 — 7} For problems 23 and 24, rationalized the denominator: J3 +3 33. J5 — J? 4J§ 34. 2" 1/; Solutions 1. a. All reals except x at 5 b. All reals except x ¢ 4 c. All reals except x a -5, 4 2. a.y=3x—-6 b.y=sz+6 c.y=-1/2x—5 k 3. a.y=kx b.y=—- c.y=kxz x 4. 28.3tons 5. a. a. [6,°°) a. {-5, -1) a. b- (-W. 4) U [-2, W) b. x=-1,3 c. x=13,-8 b- (-°°, 41] U {1. m) V mm..m..,....w.wm...m. x 11 12 13 14. . f{2)=1; f(6)=32 . g(3)=2;g(6)= J2 . h(-1)=1; h(6)=2 Domain: x 2 0; range V 2 0 15. Domain: x 2 3; range y 2 O 16. 17. 18. 19. 20. T 21. 22 23 24 25. 26. 27. 28. 29. 30 31 32. 33 34. . 22. 5‘5 _ 3_ lefZ— . 2 SJ; 2 14xy2%/§ 8J3 —25\/§§ 6J2+2J§ . JE+7J§~JEJJ§ .5y-4 52—14J5 . JE+JE+3J§+3J5 8ﬁ+4x ? ...
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Exam 2 Review Sheet - Math 096 Exam 2 Study Guide EXAM 2...

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