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






2. ____________ theory enables us to use mathematics to characterize and predict the behavior of random events. By 'random' we mean 'unpredictable' in the sense that in a given specific situation - our knowledge of current conditions gives us no way to






3. If grouping symbols are nested






4. 1. Any two points can be joined by a straight line. 2. Any straight line segment can be extended indefinitely in a straight line. 3. Given any straight line segment - a circle can be drawn having the segment as radius and one endpoint as center. 4. A

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






6. 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.






7. A point in three-dimensional space requires three numbers to fix its location.






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






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

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






11. An important part of problem solving is identifying






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






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






14. The process of taking a complicated signal and breaking it into sine and cosine components.






15. A factor tree is a way to visualize a number's






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

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17. 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 -






18. An arrangement where order matters.






19. Perform all additions and subtractions in the order presented






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






21. 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.






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






23. 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






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






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






26. A · b = b · a






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






28. 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.






29. Solving Equations






30. When writing mathematical statements - follow the mantra:






31. A · 1/a = 1/a · a = 1






32. Are the fundamental building blocks of arithmetic.






33. The study of shape from an external perspective.






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






35. Requirements for Word Problem Solutions.






36. 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.






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






38. 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.






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






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






41. 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.






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






43. N = {1 - 2 - 3 - 4 - 5 - . . .}.






44. In a mathematical sense - it is a transformation that leaves an object invariant. Symmetry is perhaps most familiar as an artistic or aesthetic concept. Designs are said to be symmetric if they exhibit specific kinds of balance - repetition - and/or






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






46. If a = b then






47. The expression a/b means






48. The fundamental theorem of arithmetic says that






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






50. When comparing two whole numbers a and b - only one of three possibilities is true: a < b or a = b or a > b.