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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. The inverse of multiplication






2. The system that Euclid used in The Elements






3. A · 1/a = 1/a · a = 1






4. 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.






5. 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.






6. Requirements for Word Problem Solutions.






7. 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.






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






9. 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.






10. Add and subtract






11. 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






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






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






14. 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.






15. Has no factors other than 1 and itself






16. × - ( )( ) - · - 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






17. A number is divisible by 2






18. 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.






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






20. If a = b then






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

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22. 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






23. The state of appearing unchanged.






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






25. Originally known as analysis situs






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






27. Objects are topologically equivalent if they can be continuously deformed into one another. Properties that are preserved during this process are called topological invariants.






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






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






30. If a = b then






31. 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






32. An important part of problem solving is identifying






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






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






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






36. Multiplication is equivalent to






37. Perform all additions and subtractions in the order presented






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






39. 1. Find the prime factorizations of each number.






40. Adding the same quantity to both sides of an equation - if a = b - then adding c to both sides of the equation produces the equivalent equation a + c = b + c.






41. 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.






42. The fundamental theorem of arithmetic says that






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






44. 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.






45. (a






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






47. 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






48. If a = b then






49. 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)






50. 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 -







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