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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. 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.






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






3. 4 more than a certain number is 12






4. If its final digit is a 0.






5. 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






6. ____________ 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






7. Are the fundamental building blocks of arithmetic.






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






9. A point in one dimension requires only one number to define it. The number line is a good example of a one-dimensional space.






10. To describe and extend a numerical pattern






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

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12. 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 -






13. 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.






14. 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






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






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






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






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






19. If a represents any whole number - then a






20. W = {0 - 1 - 2 - 3 - 4 - 5 - . . .} is called






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






22. 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






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






24. In the expression 3






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






26. A






27. A topological object that can be used to study the allowable states of a given system.






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






29. The study of shape from an external perspective.






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






31. 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 -






32. 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.






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






34. Requirements for Word Problem Solutions.






35. Originally known as analysis situs






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






37. 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






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






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

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






41. 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






42. Index p radicand






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






44. 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.






45. 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.






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






47. Also known as 'clock math -' incorporates 'wrap around' effects by having some number other than zero play the role of zero in addition - subtraction - multiplication - and division.






48. If a is any whole number - then a






49. If grouping symbols are nested






50. 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.