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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. Writing Mathematical equations - arrange your work one equation






3. 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






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






5. Mathematical statement that equates two mathematical expressions.






6. Index p radicand






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






8. × - ( )( ) - · - 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






9. Negative






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






11. 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.






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






13. 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.






14. 1. Find the prime factorizations of each number. To find the prime factorization one method is a factor tree where you begin with any two factors and proceed by dividing the numbers until all the ends are prime factors. 2. Star factors which are shar






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






16. 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.






17. Topological objects are categorized by their _______ (number of holes). The genus of a surface is a feature of its global topology.






18. 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.






19. Aka The Osculating Circle - a way to measure the curvature of a line.






20. Determines the likelihood of events that are not independent of one another.






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

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22. 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






23. 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






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

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






26. 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.'






27. The state of appearing unchanged.






28. 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).






29. Requirements for Word Problem Solutions.






30. Let a and b be whole numbers. Then a is _______________ by b if and only if the remainder is zero when a is divided by b. In this case - we say that 'b is a divisor of a.'






31. An important part of problem solving is identifying






32. To describe and extend a numerical pattern






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






34. 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)






35. If a = b then






36. 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






37. 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.






38. A way to analyze sequences of events where the outcomes of prior events affect the probability of outcomes of subsequent events.






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






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






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






42. 4 more than a certain number is 12






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. If a represents any whole number - then a






45. Means approximately equal.






46. An arrangement where order matters.






47. If a = b then






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






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






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