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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. A






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






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






4. 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.






5. Every solution to a word problem must include a carefully crafted equation that accurately describes the constraints in the problem statement.






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






7. A + b = b + a






8. Is a path that visits every node in a graph and ends where it began.






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






10. 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)






11. Let a - b - and c represent whole numbers. Then - (a + b) + c = a + (b + c).






12. An arrangement where order matters.






13. Add and subtract






14. When writing mathematical statements - follow the mantra:






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. Division by zero is undefined. Each of the expressions 6






17. Says that when a random process - such as dropping marbles through a Galton board - is repeated many times - the frequencies of the observed outcomes get increasingly closer to the theoretical probabilities.






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






19. The surface of a standard 'donut shape'.






20. 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






21. In the expression 3






22. Mathematical statement that equates two mathematical expressions.






23. Determines the likelihood of events that are not independent of one another.






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






25. If grouping symbols are nested






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






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






28. 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






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

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






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






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






33. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.






34. 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.






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






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






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

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38. In this type of geometry the angles of a triangle add up to less than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits many parallel lines.






39. 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.






40. 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






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






42. (a · b) · c = a · (b · c)






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






44. Original Balance minus River Tam's Withdrawal is Current Balance






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






46. If a and b are any whole numbers - then a






47. 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






48. 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.






49. 1. Any two points can be joined by a straight line. 2. Any straight line segment can be extended indefinitely in a straight line. 3. Given any straight line segment - a circle can be drawn having the segment as radius and one endpoint as center. 4. A

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