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






2. We can think of the space between primes as 'prime deserts -' strings of consecutive numbers - none of which are prime.






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






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






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






6. Originally known as analysis situs






7. If its final digit is a 0.






8. 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






9. In the expression 3






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






11. A · 1 = 1 · a = a






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

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13. 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.






14. 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.






15. Topological objects are categorized by their _______ (number of holes). The genus of a surface is a feature of its global topology.






16. (a · b) · c = a · (b · c)






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






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






19. The inverse of multiplication






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. If a = b then






22. Three is the common property of the group of sets containing three members. This idea is called '__________ -' which is a synonym for 'size.' The set {a -b -c} is a representative set of the cardinal number 3.






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






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






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






26. If a represents any whole number - then a






27. An important part of problem solving is identifying






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






29. The system that Euclid used in The Elements






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






31. 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






32. If a = b then






33. The state of appearing unchanged.






34. 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






35. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values






36. Dimension is how mathematicians express the idea of degrees of freedom






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






38. ____________ 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






39. Is a symbol (usually a letter) that stands for a value that may vary.






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






41. Objects are topologically equivalent if they can be continuously deformed into one another. Properties that are preserved during this process are called topological invariants.






42. 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.






43. At each level of the tree - break the current number into a product of two factors. The process is complete when all of the 'circled leaves' at the bottom of the tree are prime numbers. Arranging the factors in the 'circled leaves' in order. The fina






44. 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)






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






46. 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.






47. The cardinality of sets that cannot be put into one-to-one correspondence with the counting numbers - such as the set of real numbers - is referred to as c. The designations A_0 and c are known as 'transfinite' cardinalities.






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






49. A graph in which every node is connected to every other node is called a complete graph.






50. Positive integers are