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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. Requirements for Word Problem Solutions.






2. A group is just a collection of objects (i.e. - elements in a set) that obey a few rules when combined or composed by an operation. In order for a set to be considered a group under a certain operation - each element must have an inverse - the set mu






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






4. 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






5. Writing Mathematical equations - arrange your work one equation






6. The state of appearing unchanged.






7. Positive integers are






8. A






9. 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.'






10. You must let your readers know what each variable in your problem represents. This can be accomplished in a number of ways: Statements such as 'Let P represent the perimeter of the rectangle.' - Labeling unknown values with variables in a table - Lab






11. The cardinality of sets that cannot be put into one-to-one correspondence with the counting numbers - such as the set of real numbers - is referred to as c. The designations A_0 and c are known as 'transfinite' cardinalities.






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






13. 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






14. The expression a^m means a multiplied by itself m times. The number a is called the base of the exponential expression and the number m is called the exponent. The exponent m tells us to repeat the base a as a factor m times.






15. An object possessing continuous symmetries can remain invariant while one symmetry is turned into another. A circle is an example of an object with continuous symmetries.






16. If a = b then






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






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






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

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20. 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.






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






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






23. A · b = b · a






24. 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






25. (a + b) + c = a + (b + c)






26. Means approximately equal.






27. 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.






28. 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 -






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






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






31. Cannot be written as a ratio of natural numbers.






32. Add and subtract






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






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

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35. ____________ 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






36. Is the length around an object. Used to calculate such things as fencing around a yard - trimming a piece of material - and the amount of baseboard needed for a room.It is not necessary to have a formula since it is always just calculated by adding t






37. Has no factors other than 1 and itself






38. Are the fundamental building blocks of arithmetic.






39. 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).






40. A · 1 = 1 · a = a






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






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






43. 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.






44. 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.






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






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






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






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






49. To describe and extend a numerical pattern






50. A + 0 = 0 + a = a