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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. 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.






2. 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.






3. An arrangement where order matters.






4. A flat map of hyperbolic space.






5. To describe and extend a numerical pattern






6. 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.






7. 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.






8. Solving Equations






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






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






11. 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.






12. Three is the common property of the group of sets containing three members. This idea is called '__________ -' which is a synonym for 'size.' The set {a -b -c} is a representative set of the cardinal number 3.






13. If a = b then






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






15. × - ( )( ) - · - 1. Multiply the numbers (ignoring the signs)2. The answer is positive if they have the same signs. 3. The answer is negative if they have different signs. 4. Alternatively - count the amount of negative numbers. If there are an even






16. ____________ 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






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

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18. Writing Mathematical equations - arrange your work one equation






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






20. 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 -






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






22. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones






23. If a = b then






24. (a






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






26. Cantor called the cardinality of all the sets that can be put into one-to-one correspondence with the counting numbers - or 'Aleph Null.'






27. Positive integers are






28. 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






29. The study of shape from an external perspective.






30. Does not change the solution set. That is - if a = b - then multiplying both sides of the equation by c produces the equivalent equation a






31. Some numbers make geometric shapes when arranged as a collection of dots - for example - 16 makes a square - and 10 makes a triangle.






32. The inverse of multiplication






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






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






35. The solutions to this gambling dilemma is traditionally held to be the start of modern probability theory.






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






37. Index p radicand






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






39. 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.






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






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






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






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






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

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45. 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).






46. If grouping symbols are nested






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






48. 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






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






50. Two equations if they have the same solution set.