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

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2. All integers are thus divided into three classes:






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. The expression a/b means






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






6. 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.






7. A '___________' infinite set is one that can be put into one-to-one correspondence with the set of natural numbers.






8. If a whole number is not a prime number - then it is called a...






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






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






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






12. Has no factors other than 1 and itself






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






14. Originally known as analysis situs






15. 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.






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






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






18. The study of shape from an external perspective.






19. 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






20. The fundamental theorem of arithmetic says that






21. Means approximately equal.






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






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






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






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






26. 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






27. Index p radicand






28. The system that Euclid used in The Elements






29. Points in two-dimensional space require two numbers to specify them completely. The Cartesian plane is a good way to envision two-dimensional space.






30. If a = b then






31. 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






32. (a · b) · c = a · (b · c)






33. 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.






34. 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.






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






36. If on a surface there is no meaningful way to tell an object's orientation (left or right handedness) - the surface is said to be non-orientable.






37. The study of shape from the perspective of being on the surface of the shape.






38. Perform all additions and subtractions in the order presented






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






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






41. 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).






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






43. 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.






44. Division by zero is undefined. Each of the expressions 6






45. A number is divisible by 2






46. If a = b then






47. × - ( )( ) - · - 1. Multiply the numbers (ignoring the signs)2. The answer is positive if they have the same signs. 3. The answer is negative if they have different signs. 4. Alternatively - count the amount of negative numbers. If there are an even






48. ____________ 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






49. Mathematical statement that equates two mathematical expressions.






50. 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.'