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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. Add and subtract






2. 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.






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






4. If we start with a number x and multiply by a number a - then dividing the result by the number a returns us to the original number x. In symbols - a






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






6. A flat map of hyperbolic space.






7. A factor tree is a way to visualize a number's






8. The expression a/b means






9. If the sum of its digits is divisible by 9 (ex: 3591 is divisible by 9 since 3 + 5 + 9 + 1 = 18 is divisible by 9).






10. This result says that the symmetries of geometric objects can be expressed as groups of permutations.

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11. A






12. If a - b - and c are any whole numbers - then a






13. The inverse of multiplication






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






15. A · 1/a = 1/a · a = 1






16. If a represents any whole number - then a






17. The system that Euclid used in The Elements






18. If a = b then






19. Is the shortest string that contains all possible permutations of a particular length from a given set.






20. Multiplication is equivalent to






21. The solutions to this gambling dilemma is traditionally held to be the start of modern probability theory.






22. 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.






23. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones






24. Is the length around an object. Used to calculate such things as fencing around a yard - trimming a piece of material - and the amount of baseboard needed for a room.It is not necessary to have a formula since it is always just calculated by adding t






25. In this type of geometry the angles of a triangle add up to less than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits many parallel lines.






26. (a + b) + c = a + (b + c)






27. N = {1 - 2 - 3 - 4 - 5 - . . .}.






28. If a = b then






29. A · b = b · a






30. (a






31. If its final digit is a 0 or 5.






32. If we start with a number x and add a number a - then subtracting a from the result will return us to the original number x. x + a - a = x. so -






33. Has no factors other than 1 and itself






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






35. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.






36. This step is easily overlooked. For example - the problem might ask for Jane's age - but your equation's solution gives the age of Jane's sister Liz. Make sure you answer the original question asked in the problem. Your solution should be written in






37. 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.






38. Negative






39. Determines the likelihood of events that are not independent of one another.






40. A sphere can be thought of as a stack of circular discs of increasing - then decreasing - radii. The process of slicing is one way to visualize higher-dimensional objects via level curves and surfaces. A hypersphere can be thought of as a 'stack' of






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






42. Every solution to a word problem must include a carefully crafted equation that accurately describes the constraints in the problem statement.






43. This method can create a flat map from a curved surface while preserving all angles in any features present.






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






45. If the sum of its digits is divisible by 3 (ex: 3591 is divisible by 3 since 3 + 5 + 9 + 1 = 18 is divisible by 3).






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. Public key encryption allows two parties to communicate securely over an un-secured computer network using the properties of prime numbers and modular arithmetic. RSA is the modern standard for public key encryption.






48. The multitude concept presented numbers as collections of discrete units - rather like indivisible atoms.






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






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