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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. (a






2. 1. Any two points can be joined by a straight line. 2. Any straight line segment can be extended indefinitely in a straight line. 3. Given any straight line segment - a circle can be drawn having the segment as radius and one endpoint as center. 4. A

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3. 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.






4. 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.






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

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7. The expression a/b means






8. If a is any whole number - then a






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






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






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






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






13. If a represents any whole number - then a






14. All integers are thus divided into three classes:






15. The state of appearing unchanged.






16. ____________ 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






17. When writing mathematical statements - follow the mantra:






18. Perform all additions and subtractions in the order presented






19. If the sum of its digits is divisible by 3 (ex: 3591 is divisible by 3 since 3 + 5 + 9 + 1 = 18 is divisible by 3).






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






21. Does not change the solution set. That is - if a = b - then multiplying both sides of the equation by c produces the equivalent equation a






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






23. Multiplication is equivalent to






24. 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.






25. If its final digit is a 0 or 5.






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






27. 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






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






29. A + (-a) = (-a) + a = 0






30. 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






31. 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.






32. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones






33. 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






34. A · 1/a = 1/a · a = 1






35. 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






36. The four-dimensional analog of the cube - square - and line segment. A hypercube is formed by taking a 3-D cube - pushing a copy of it into the fourth dimension - and connecting it with cubes. Envisioning this object in lower dimensions requires that






37. 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.






38. GThe mathematical study of space. The geometry of a space goes hand in hand with how one defines the shortest distance between two points in that space.






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






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






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






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






43. You must let your readers know what each variable in your problem represents. This can be accomplished in a number of ways: Statements such as 'Let P represent the perimeter of the rectangle.' - Labeling unknown values with variables in a table - Lab






44. Every whole number can be uniquely factored as a product of primes. This result guarantees that if the prime factors are ordered from smallest to largest - everyone will get the same result when breaking a number into a product of prime factors.






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






46. 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.






47. If a = b then






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






49. A flat map of hyperbolic space.






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