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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. Codifies the 'average behavior' of a random event and is a key concept in the application of probability.






2. The inverse of multiplication






3. A + 0 = 0 + a = a






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






5. All integers are thus divided into three classes:






6. The fundamental theorem of arithmetic says that






7. 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.'






8. 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.






9. A · 1/a = 1/a · a = 1






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






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






12. (a + b) + c = a + (b + c)






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






14. If we start with a number x and multiply by a number a - then dividing the result by the number a returns us to the original number x. In symbols - a






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






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






17. 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 -






18. 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.






19. 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






20. A flat map of hyperbolic space.






21. If a = b then






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






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






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






25. 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.






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






27. If a and b are any whole numbers - then a






28. Multiplication is equivalent to






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






30. Dimension is how mathematicians express the idea of degrees of freedom






31. Originally known as analysis situs






32. When writing mathematical statements - follow the mantra:






33. If grouping symbols are nested






34. Breaks a complicated signal into a combination of simple sine waves. Fourier synthesis does the opposite - constructing a complicated signal from simple sine waves.






35. 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






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






37. 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.






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






39. In the expression 3






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






41. × - ( )( ) - · - 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






42. A + b = b + a






43. 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.






44. Has no factors other than 1 and itself






45. 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






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. 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






48. An arrangement where order matters.






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






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