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






2. Has no factors other than 1 and itself






3. Index p radicand






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






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






6. 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.






7. Arise from the attempt to measure all quantities with a common unit of measure.






8. Two equations if they have the same solution set.






9. A · b = b · a






10. A + 0 = 0 + a = a






11. Whether or not we hear waves as sound has everything to do with their _____________ - or how many times every second the molecules switch from compression to rarefaction and back to compression again - and their intensity - or how much the air is com






12. (a






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

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






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






17. 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.






18. 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.'






19. Means approximately equal.






20. Some favor repeatedly dividing by 2 until the result is no longer divisible by 2. Then try repeatedly dividing by the next prime until the result is no longer divisible by that prime. The process terminates when the last resulting quotient is equal t






21. All integers are thus divided into three classes:






22. 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 -






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






24. 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






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






26. To describe and extend a numerical pattern






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






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






29. 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.






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






31. 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.






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






33. 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






34. A






35. 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.






36. 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






37. 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.






38. 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.






39. × - ( )( ) - · - 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






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






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






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. 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






44. 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).






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






46. Perform all additions and subtractions in the order presented






47. A flat map of hyperbolic space.






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






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






50. 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.