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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 the expression 3






2. Has no factors other than 1 and itself






3. 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.'






4. Originally known as analysis situs






5. If a = b then






6. Are the fundamental building blocks of arithmetic.






7. A + (-a) = (-a) + a = 0






8. A number is divisible by 2






9. Let a and b represent two whole numbers. Then - a + b = b + a.






10. If a = b then






11. 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






12. Requirements for Word Problem Solutions.






13. Multiplication is equivalent to






14. You must always solve the equation set up in the previous step.






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






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






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






18. The system that Euclid used in The Elements






19. 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.






20. The inverse of multiplication






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






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






23. 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.






24. The fundamental theorem of arithmetic says that






25. The state of appearing unchanged.






26. A · b = b · a






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






28. 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






29. 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.






30. Positive integers are






31. 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)






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






33. 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.






34. Negative






35. If a - b - and c are any whole numbers - then a






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






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






38. 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






39. Add and subtract






40. 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.






41. 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 -






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






43. 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.'






44. 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






45. Is the shortest string that contains all possible permutations of a particular length from a given set.






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






47. 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.






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






49. All integers are thus divided into three classes:






50. An important part of problem solving is identifying