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CLEP General Math: Number Sense - Patterns - Algebraic Thinking

Subjects : clep, math, algebra
Instructions:
  • Answer 50 questions in 15 minutes.
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  • Match each statement with the correct term.
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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. 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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2. If a and b are any whole numbers - then a






3. Objects are topologically equivalent if they can be continuously deformed into one another. Properties that are preserved during this process are called topological invariants.






4. Points in two-dimensional space require two numbers to specify them completely. The Cartesian plane is a good way to envision two-dimensional space.






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






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






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






8. The fundamental theorem of arithmetic says that






9. All integers are thus divided into three classes:






10. Because of the associate property of addition - when presented with a sum of three numbers - whether you start by adding the first two numbers or the last two numbers - the resulting sum is






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






12. (a






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






14. A + 0 = 0 + a = a






15. 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.'






16. Are the fundamental building blocks of arithmetic.






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






18. In any ratio of two whole numbers - expressed as a fraction - we can interpret the first (top) number to be the 'counter -' or numerator






19. The system that Euclid used in The Elements






20. Has no factors other than 1 and itself






21. 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.






22. If a = b then






23. Writing Mathematical equations - arrange your work one equation






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. 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






26. 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.






27. Originally known as analysis situs






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






29. If we start with a number x and subtract a number a - then adding a to the result will return us to the original number x. In symbols - x - a + a = x. So -






30. The study of shape from an external perspective.






31. 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






32. 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






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






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






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






36. Dimension is how mathematicians express the idea of degrees of freedom






37. Multiplication is equivalent to






38. If a is any whole number - then a






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






40. Add and subtract






41. If a represents any whole number - then a






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






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

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44. Perform all additions and subtractions in the order presented






45. 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






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






47. 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






48. 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






49. To describe and extend a numerical pattern






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







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