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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. TA model of a sequence of random events. Each marble that passes through the system represents a trial consisting of as many random events as there are rows in the system.






2. A






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






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






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






6. A · 1/a = 1/a · a = 1






7. 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






8. Let a and b be whole numbers. Then a is _______________ by b if and only if the remainder is zero when a is divided by b. In this case - we say that 'b is a divisor of a.'






9. 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






10. 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.






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






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






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






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






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






16. This model is at the forefront of probability research. Mathematicians use it to model traffic patterns in an attempt to understand flow rates and gridlock - among other things.






17. Our standard notions of Pythagorean distance and angle via the inner product extend quite nicely from three-space.






18. Index p radicand






19. The answer to the question of why the primes occur where they do on the number line has eluded mathematicians for centuries. Gauss's Prime Number Theorem is perhaps one of the most famous attempts to find the 'pattern behind the primes.'






20. Mathematical statement that equates two mathematical expressions.






21. Uses second derivatives to relate acceleration in space to acceleration in time.






22. If a = b then






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






24. A + b = b + a






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






26. A '___________' infinite set is one that can be put into one-to-one correspondence with the set of natural numbers.






27. ____________ 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






28. A · 1 = 1 · a = a






29. 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.






30. If grouping symbols are nested






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






32. 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).






33. Let a - b - and c be any whole numbers. Then - a






34. 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.






35. If a = b then






36. The system that Euclid used in The Elements






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






38. Some numbers make geometric shapes when arranged as a collection of dots - for example - 16 makes a square - and 10 makes a triangle.






39. Requirements for Word Problem Solutions.






40. The inverse of multiplication






41. 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






42. A topological invariant that relates a surface's vertices - edges - and faces.






43. Originally known as analysis situs






44. 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






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






46. A flat map of hyperbolic space.






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






48. 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.






49. 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.






50. 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







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