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






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

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3. Are the fundamental building blocks of arithmetic.






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






5. If a = b then






6. 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)






7. 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).






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






9. The system that Euclid used in The Elements






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

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






13. A topological object that can be used to study the allowable states of a given system.






14. Does not change the solution set. That is - if a = b - then multiplying both sides of the equation by c produces the equivalent equation a






15. A whole number (other than 1) is a _____________ if its only factors (divisors) are 1 and itself. Equivalently - a number is prime if and only if it has exactly two factors (divisors).






16. 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.






17. 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






18. Is a path that visits every node in a graph and ends where it began.






19. A · 1 = 1 · a = a






20. 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.






21. Our standard notions of Pythagorean distance and angle via the inner product extend quite nicely from three-space.






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






23. The fundamental theorem of arithmetic says that






24. 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.






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. In the expression 3






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






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






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






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






31. 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.






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






33. If grouping symbols are nested






34. Does not change the solution set. That is - if a = b - then dividing both sides of the equation by c produces the equivalent equation a/c = b/c - provided c = 0.






35. Means approximately equal.






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






37. (a · b) · c = a · (b · c)






38. If a = b then






39. 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.






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






41. Use parentheses - brackets - or curly braces to delimit the part of an expression you want evaluated first.






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






43. Uses second derivatives to relate acceleration in space to acceleration in time.






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






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

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47. 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.






48. A number is divisible by 2






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






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