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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. 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






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






3. 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.






4. This area of mathematics relates symmetry to whether or not an equation has a 'simple' solution.






5. 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






6. 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.






7. 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






8. Let a - b - and c be any whole numbers. Then - a






9. 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






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






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






12. Are the fundamental building blocks of arithmetic.






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






14. Add and subtract






15. 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






16. 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






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

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






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






20. A · b = b · a






21. To describe and extend a numerical pattern






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






23. 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.






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






25. The process of taking a complicated signal and breaking it into sine and cosine components.






26. If the sum of its digits is divisible by 3 (ex: 3591 is divisible by 3 since 3 + 5 + 9 + 1 = 18 is divisible by 3).






27. In the expression 3






28. The inverse of multiplication






29. A






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






31. Mathematical statement that equates two mathematical expressions.






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






33. 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






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






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






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






37. 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






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






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






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






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






42. Index p radicand






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






44. A way to extrinsically measure the curvature of a surface by looking at a given point and finding the contour line with the greatest curvature and the contour line with the least curvature.






45. 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.






46. Rules for Rounding - To round a number to a particular place - follow these steps:






47. A point in three-dimensional space requires three numbers to fix its location.






48. A way to analyze sequences of events where the outcomes of prior events affect the probability of outcomes of subsequent events.






49. An equation is a numerical value that satisfies the equation. That is - when the variable in the equation is replaced by the solution - a true statement results.






50. A number is divisible by 2







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Can you answer 50 questions in 15 minutes?


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