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






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






3. An arrangement where order matters.






4. If its final digit is a 0.






5. A · b = b · a






6. The fundamental theorem of arithmetic says that






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






8. If grouping symbols are nested






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






10. (a · b) · c = a · (b · c)






11. A






12. A topological object that can be used to study the allowable states of a given system.






13. 4 more than a certain number is 12






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






15. 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.






16. 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).






17. A graph in which every node is connected to every other node is called a complete graph.






18. Mathematical statement that equates two mathematical expressions.






19. 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






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






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






22. This means that for any two magnitudes - one should always be able to find a fundamental unit that fits some whole number of times into each of them (i.e. - a unit whose magnitude is a whole number factor of each of the original magnitudes)






23. If we start with a number x and add a number a - then subtracting a from the result will return us to the original number x. x + a - a = x. so -






24. 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.






25. 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.






26. In a mathematical sense - it is a transformation that leaves an object invariant. Symmetry is perhaps most familiar as an artistic or aesthetic concept. Designs are said to be symmetric if they exhibit specific kinds of balance - repetition - and/or






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






28. A + b = b + a






29. 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.






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






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






32. Einstein's famous theory - relates gravity to the curvature of spacetime.






33. 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.






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






35. 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






36. 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






37. 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.






38. If its final digit is a 0 or 5.






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






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






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






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

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






44. The inverse of multiplication






45. 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






46. 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.






47. Add and subtract






48. If a is any whole number - then a






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






50. Index p radicand







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