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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. ____________ 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. Original Balance minus River Tam's Withdrawal is Current Balance






4. Used to display measurements. The measurement was taken is placed on the horizontal axis - and the height of each bar equals the amount during that year.






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






6. 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).






7. Originally known as analysis situs






8. The expression a/b means






9. The system that Euclid used in The Elements






10. Requirements for Word Problem Solutions.






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






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






13. Index p radicand






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






15. If a = b then






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






17. The study of shape from an external perspective.






18. 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.






19. The distribution of averages of many trials is always normal - even if the distribution of each trial is not.






20. The inverse of multiplication






21. 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






22. 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.






23. (a · b) · c = a · (b · c)






24. In this type of geometry the angles of a triangle add up to less than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits many parallel lines.






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






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

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27. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.






28. Perform all additions and subtractions in the order presented






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






30. 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






31. Means approximately equal.






32. Negative






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

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34. A way to measure how far away a given individual result is from the average result.






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






36. 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 -






37. If a = b then






38. 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






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






40. Add and subtract






41. If its final digit is a 0.






42. Also known as gluing diagrams - are a convenient way to examine intrinsic topology.






43. A · 1/a = 1/a · a = 1






44. A + 0 = 0 + a = a






45. All integers are thus divided into three classes:






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






47. Every solution to a word problem must include a carefully crafted equation that accurately describes the constraints in the problem statement.






48. If grouping symbols are nested






49. Collection of objects. list all the objects in the set and enclosing the list in curly braces.






50. It is important to note that this step does not imply that you should simply check your solution in your equation. After all - it's possible that your equation incorrectly models the problem's situation - so you could have a valid solution to an inco