Get started today!

Good to have you back!
If you've signed in to StudyBlue with Facebook in the past, please do that again.

- StudyBlue
- Wisconsin
- University of Wisconsin - Madison
- Mathematics
- Mathematics 112
- De Witt
- Review Sheet 1.pdf

Anonymous

Advertisement

Review Sheet 1 Math 112 Fall 2008 1. Simplify parenleftbigg a3b?4c2 a5b2c?4 parenrightbigg2 2. Simplify 3?108 + 3??81 + radicalBig 3?9 3. Rewrite the expression using only rational exponents: 5 radicalBigg? x 3?y 3?z2 4. Factor 6x3 + 13x2 ?5x 5. Simplify 5 2x + 2 ? 3 x2 + x + 2 x + 1 6. Solve for x 1 2 ? 1 x = 1 x ? 1 3 7. Find the equation of the line through the point (1,2) and perpendicular to the line through the points (?1,3) and (2,?7). 8. Determine the center and radius of the circle given by the equation 4x2 ?4x + 4y2 + 8y ?59 = 0 9. Determine the symmetries of |x + y| = 2 10. Solve the following: A)2y2 ?5y ?2 = 0 B) x6 ?10x4 + 24x2 = 0 11. The difference of two positive numbers is one-third of their sum. The sum of the squares of the two numbers is 180. Find the two numbers. 1 2 12. Solve the following and write the answers in interval notation: A) x?14 ? 2x+35 ? x B) 1x ? 1x+1 13. Solve the following and give the solution in number line and interval notation: vextendsinglevextendsingle vextendsinglevextendsinglex + 1 2 ? x?1 3 vextendsinglevextendsingle vextendsinglevextendsingle < 1 14. Solve the following and give the solution in number line and interval notation: 2x x + 5 + x?1 x?5 ? 1 5 15. Solve the following: 4x3 + 8x2 + 5x = 0 16. Find the value of k such that the equation below has exactly one real root: kx2 + kx + 1 = 0 17. Find the equation have roots r1 = 13(4??5) and r2 = 13(4 +?5) 18. Solve the following: 4|x?2| = 3x?4 19. Solve the following: 8t?4 ?17t?2 + 2 = 0 20. Solve the following: ?3 + 2x +??1 + 4x = 1 21. Find three consecutive integers such that twice the first plus half of the second is seven more than twice the third. 22. Solve (2y + 3)4 = 5 23. Solve (x2 ?1)4 ?81 = 0 24. Solve x(4/3) + 3x(2/3)?28 = 0 3 25. Simplify the following: parenleftbiga + 1 b parenrightbigaparenleftbiga? 1 b parenrightbigb parenleftbigb + 1 a parenrightbigaparenleftbigb? 1 a parenrightbigb 26. Find the x and y intercepts of xy ?12y = x2 ?2x + 1 27. Find the equation of the line passing through the point (?1,2) and parallel to the line passing through the points (?1,3) and (7,?4). 28. Determine the symmetries of xy = x2 ?4 29. Find the center and radius of 3x2 + 3y2 + 5x?4y = 1 30. Simplify the following: parenleftbigg x3y2z6w?2 x?1y4z3w?1 parenrightbigg?2 31. Simplify the following: 4?24?8?54 + 2?6 32. Factor the following: 4x3 + 8x2 ?5x 33. Simplify the following: x(x + y)?1 ?y(x?y)?1 34. Give the answer in both interval notation and graphical number line form: |x?4| > 4 35. Give the center and radius of the circle which has (1,?3) and (6,4) as the endpoints of a diameter. 36. Solve the following: 6x?4/3 + x?2/3 ?2 = 0 37. Solve the following and give the answer in interval notation: 2x?1 x + 1 ? 3x + 2 x?2

Advertisement

"StudyBlue is great for studying. I love the study guides, flashcards and quizzes. So extremely helpful for all of my classes!"

Alice , Arizona State University"I'm a student using StudyBlue, and I can 100% say that it helps me so much. Study materials for almost every subject in school are available in StudyBlue. It is so helpful for my education!"

Tim , University of Florida"StudyBlue provides way more features than other studying apps, and thus allows me to learn very quickly! I actually feel much more comfortable taking my exams after I study with this app. It's amazing!"

Jennifer , Rutgers University"I love flashcards but carrying around physical flashcards is cumbersome and simply outdated. StudyBlue is exactly what I was looking for!"

Justin , LSU
StudyBlue is not sponsored or endorsed by any college, university, or instructor.

© 2015 StudyBlue Inc. All rights reserved.

© 2015 StudyBlue Inc. All rights reserved.