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






2. Solving Equations






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






4. 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






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






6. Add and subtract






7. Arise from the attempt to measure all quantities with a common unit of measure.






8. Perform all additions and subtractions in the order presented






9. The system that Euclid used in The Elements






10. 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






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






12. 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






13. A · b = b · a






14. If its final digit is a 0.






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






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. An important part of problem solving is identifying






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


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






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






21. 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.






22. (a






23. 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 -






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






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






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






27. 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.






28. 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






29. 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.






30. Multiplication is equivalent to






31. Index p radicand






32. 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.






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






34. Has no factors other than 1 and itself






35. Adding the same quantity to both sides of an equation - if a = b - then adding c to both sides of the equation produces the equivalent equation a + c = b + c.






36. When writing mathematical statements - follow the mantra:






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






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






39. Non-Euclidean geometries abide by some - but not all of Euclid's five postulates.






40. Negative






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






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






43. An arrangement where order matters.






44. If a = b then






45. Requirements for Word Problem Solutions.






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






47. The inverse of multiplication






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






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


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