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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. Has no factors other than 1 and itself






2. Assuming that the air is of uniform density and pressure to begin with - a region of high pressure will be balanced by a region of low pressure - called rarefaction - immediately following the compression






3. ____________ theory enables us to use mathematics to characterize and predict the behavior of random events. By 'random' we mean 'unpredictable' in the sense that in a given specific situation - our knowledge of current conditions gives us no way to






4. If a = b then






5. A way to extrinsically measure the curvature of a surface by looking at a given point and finding the contour line with the greatest curvature and the contour line with the least curvature.






6. 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.






7. A flat map of hyperbolic space.






8. If a = b then






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






10. In this type of geometry the angles of a triangle add up to more than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits no parallel lines as well as modify Euclid's first two postulates.






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






12. Every whole number can be uniquely factored as a product of primes. This result guarantees that if the prime factors are ordered from smallest to largest - everyone will get the same result when breaking a number into a product of prime factors.






13. An arrangement where order matters.






14. Codifies the 'average behavior' of a random event and is a key concept in the application of probability.






15. Original Balance minus River Tam's Withdrawal is Current Balance






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






17. The surface of a standard 'donut shape'.






18. Cannot be written as a ratio of natural numbers.






19. This ubiquitous result describes the outcomes of many trials of events from a wide array of contexts. It says that most results cluster around the average with few results far above or far below average.






20. A + b = b + a






21. The system that Euclid used in The Elements






22. Use parentheses - brackets - or curly braces to delimit the part of an expression you want evaluated first.






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






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






25. A · 1/a = 1/a · a = 1






26. The process of taking a complicated signal and breaking it into sine and cosine components.






27. A way to analyze sequences of events where the outcomes of prior events affect the probability of outcomes of subsequent events.






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






29. 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






30. An equation is a numerical value that satisfies the equation. That is - when the variable in the equation is replaced by the solution - a true statement results.






31. If a = b then






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






33. 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






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






35. 4 more than a certain number is 12






36. Originally known as analysis situs






37. Cantor called the cardinality of all the sets that can be put into one-to-one correspondence with the counting numbers - or 'Aleph Null.'






38. A






39. Solving Equations






40. A(b + c) = a · b + a · c a(b - c) = a · b - a · c






41. This means that for any two magnitudes - one should always be able to find a fundamental unit that fits some whole number of times into each of them (i.e. - a unit whose magnitude is a whole number factor of each of the original magnitudes)






42. (a






43. If a and b are any whole numbers - then a






44. The expression a/b means






45. 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.






46. (a · b) · c = a · (b · c)






47. Used to display measurements. The measurement was taken is placed on the horizontal axis - and the height of each bar equals the amount during that year.






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






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






50. Perform all additions and subtractions in the order presented







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