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






2. Mathematical statement that equates two mathematical expressions.






3. 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.






4. A group is just a collection of objects (i.e. - elements in a set) that obey a few rules when combined or composed by an operation. In order for a set to be considered a group under a certain operation - each element must have an inverse - the set mu






5. 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.






6. The fundamental theorem of arithmetic says that






7. A + 0 = 0 + a = a






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

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






10. An important part of problem solving is identifying






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






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






13. 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.






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






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






16. 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.






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






18. 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.






19. A number is divisible by 2






20. 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).






21. In the expression 3






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. A way to measure how far away a given individual result is from the average result.






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






25. Writing Mathematical equations - arrange your work one equation






26. All integers are thus divided into three classes:






27. This step is easily overlooked. For example - the problem might ask for Jane's age - but your equation's solution gives the age of Jane's sister Liz. Make sure you answer the original question asked in the problem. Your solution should be written in






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

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29. A · 1 = 1 · a = a






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






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






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






33. The expression a/b means






34. If a = b then






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






36. This area of mathematics relates symmetry to whether or not an equation has a 'simple' solution.






37. Means approximately equal.






38. Rules for Rounding - To round a number to a particular place - follow these steps:






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






40. 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.






41. A flat map of hyperbolic space.






42. 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






43. If a is any whole number - then a






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






45. 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






46. Let a - b - and c represent whole numbers. Then - (a + b) + c = a + (b + c).






47. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.






48. Are the fundamental building blocks of arithmetic.






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






50. If grouping symbols are nested