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






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






3. Index p radicand






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






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






6. 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.






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






8. Perform all additions and subtractions in the order presented






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






10. A + b = b + a






11. This important result says that every natural number greater than one can be expressed as a product of primes in exactly one way.






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






13. The inverse of multiplication






14. A point in four-space - also known as 4-D space - requires four numbers to fix its position. Four-space has a fourth independent direction - described by 'ana' and 'kata.'






15. A flat map of hyperbolic space.






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






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






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






19. If we start with a number x and subtract a number a - then adding a to the result will return us to the original number x. In symbols - x - a + a = x. So -






20. 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.






21. 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.






22. 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.






23. 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)






24. An important part of problem solving is identifying






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






26. 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.'






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






28. 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.






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






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






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






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






33. Writing Mathematical equations - arrange your work one equation






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






35. If a = b then






36. If a represents any whole number - then a






37. Requirements for Word Problem Solutions.






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






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






40. 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.






41. Are the fundamental building blocks of arithmetic.






42. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.






43. Means approximately equal.






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






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 = b · a






47. The system that Euclid used in The Elements






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






49. 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.






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







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