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CLEP General Math: Number Sense - Patterns - Algebraic Thinking

Subjects : clep, math, algebra
Instructions:
  • Answer 50 questions in 15 minutes.
  • If you are not ready to take this test, you can study here.
  • Match each statement with the correct term.
  • Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.
1. Determines the likelihood of events that are not independent of one another.






2. You must always solve the equation set up in the previous step.






3. Says that when a random process - such as dropping marbles through a Galton board - is repeated many times - the frequencies of the observed outcomes get increasingly closer to the theoretical probabilities.






4. A point in three-dimensional space requires three numbers to fix its location.






5. The identification of a 'one-to-one' correspondence--enables us to enumerate a set that may be difficult to count in terms of another set that is more easily counted.






6. Points in two-dimensional space require two numbers to specify them completely. The Cartesian plane is a good way to envision two-dimensional space.






7. Two equations if they have the same solution set.






8. An important part of problem solving is identifying






9. Breaks a complicated signal into a combination of simple sine waves. Fourier synthesis does the opposite - constructing a complicated signal from simple sine waves.






10. An instrument's _____ - the sound it produces - is a complex mixture of waves of different frequencies.






11. The expression a^m means a multiplied by itself m times. The number a is called the base of the exponential expression and the number m is called the exponent. The exponent m tells us to repeat the base a as a factor m times.






12. An object possessing continuous symmetries can remain invariant while one symmetry is turned into another. A circle is an example of an object with continuous symmetries.






13. The distribution of averages of many trials is always normal - even if the distribution of each trial is not.






14. Reveals why we tend to find structure in seemingly random sets. Ramsey numbers indicate how big a set must be to guarantee the existence of certain minimal structures.






15. When comparing two whole numbers a and b - only one of three possibilities is true: a < b or a = b or a > b.






16. A topological object that can be used to study the allowable states of a given system.






17. A + (-a) = (-a) + a = 0






18. In a mathematical sense - it is a transformation that leaves an object invariant. Symmetry is perhaps most familiar as an artistic or aesthetic concept. Designs are said to be symmetric if they exhibit specific kinds of balance - repetition - and/or






19. The expression a/b means






20. Some favor repeatedly dividing by 2 until the result is no longer divisible by 2. Then try repeatedly dividing by the next prime until the result is no longer divisible by that prime. The process terminates when the last resulting quotient is equal t






21. The study of shape from an external perspective.






22. An algebraic 'sentence' containing an unknown quantity.






23. (a






24. A way to measure how far away a given individual result is from the average result.






25. Solving Equations






26. If a = b then a + c = b + c If a = b then a - c = b - c If a = b then a






27. If a represents any whole number - then a






28. Index p radicand






29. This result relates conserved physical quantities - like conservation of energy - to continuous symmetries of spacetime.

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30. Collection of objects. list all the objects in the set and enclosing the list in curly braces.






31. Is a path that visits every node in a graph and ends where it began.






32. Of central importance in Ramsey Theory - and in combinatorics in general - is the 'pigeonhole principle -' also known as Dirichlet's box. This principle simply states that we cannot fit n+1 pigeons into n pigeonholes in such a way that only one pigeo






33. The study of shape from the perspective of being on the surface of the shape.






34. The state of appearing unchanged.






35. A number is divisible by 2






36. Also known as gluing diagrams - are a convenient way to examine intrinsic topology.






37. Originally known as analysis situs






38. Has no factors other than 1 and itself






39. If its final digit is a 0.






40. Let a and b represent two whole numbers. Then - a + b = b + a.






41. The amount of displacement - as measured from the still surface line.






42. If grouping symbols are nested






43. Einstein's famous theory - relates gravity to the curvature of spacetime.






44. Does not change the solution set. That is - if a = b - then multiplying both sides of the equation by c produces the equivalent equation a






45. 1. Parentheses (or any grouping symbol {braces} - [square brackets] - |absolute value|)

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46. It is important to note that this step does not imply that you should simply check your solution in your equation. After all - it's possible that your equation incorrectly models the problem's situation - so you could have a valid solution to an inco






47. A






48. If a whole number is not a prime number - then it is called a...






49. If a = b then






50. In any ratio of two whole numbers - expressed as a fraction - we can interpret the first (top) number to be the 'counter -' or numerator