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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. 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.






2. 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






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






4. 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)






5. In this type of geometry the angles of a triangle add up to more than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits no parallel lines as well as modify Euclid's first two postulates.






6. 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).






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






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

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9. Is the length around an object. Used to calculate such things as fencing around a yard - trimming a piece of material - and the amount of baseboard needed for a room.It is not necessary to have a formula since it is always just calculated by adding t






10. If a = b then






11. 4 more than a certain number is 12






12. Originally known as analysis situs






13. When comparing two whole numbers a and b - only one of three possibilities is true: a < b or a = b or a > b.






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






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






16. An important part of problem solving is identifying






17. Writing Mathematical equations - arrange your work one equation






18. 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.'






19. Use parentheses - brackets - or curly braces to delimit the part of an expression you want evaluated first.






20. 1. Parentheses (or any grouping symbol {braces} - [square brackets] - |absolute value|)

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21. The expression a/b means






22. The system that Euclid used in The Elements






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






24. 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.






25. Has no factors other than 1 and itself






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






27. ____________ 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






28. The study of shape from an external perspective.






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






30. If a represents any whole number - then a






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






32. 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.






33. 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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34. 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.'






35. This famous - as yet unproven - result relates to the distribution of prime numbers on the number line.






36. Requirements for Word Problem Solutions.






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






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






39. (a · b) · c = a · (b · c)






40. A way to extrinsically measure the curvature of a surface by looking at a given point and finding the contour line with the greatest curvature and the contour line with the least curvature.






41. A whole number (other than 1) is a _____________ if its only factors (divisors) are 1 and itself. Equivalently - a number is prime if and only if it has exactly two factors (divisors).






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






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






44. Cannot be written as a ratio of natural numbers.






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






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






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






48. Because of the associate property of addition - when presented with a sum of three numbers - whether you start by adding the first two numbers or the last two numbers - the resulting sum is






49. Index p radicand






50. A · 1 = 1 · a = a