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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. Solving Equations






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






3. All integers are thus divided into three classes:






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

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5. If a represents any whole number - then a






6. Index p radicand






7. An important part of problem solving is identifying






8. If a = b then






9. A






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






11. 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.






12. In the expression 3






13. 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






14. Add and subtract






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






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






17. A · 1/a = 1/a · a = 1






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






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






20. 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.






21. A · 1 = 1 · a = a






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






23. 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.






24. The state of appearing unchanged.






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






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






27. 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.






28. 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






29. The study of shape from an external perspective.






30. If its final digit is a 0.






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






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






33. 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






34. Some favor repeatedly dividing by 2 until the result is no longer divisible by 2. Then try repeatedly dividing by the next prime until the result is no longer divisible by that prime. The process terminates when the last resulting quotient is equal t






35. Requirements for Word Problem Solutions.






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






37. The expression a/b means






38. 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






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






40. 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






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






42. This important result says that every natural number greater than one can be expressed as a product of primes in exactly one way.






43. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values






44. If grouping symbols are nested






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






46. 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






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






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






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






50. Mathematical statement that equates two mathematical expressions.