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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. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.






2. Cannot be written as a ratio of natural numbers.






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






4. 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.






5. Originally known as analysis situs






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






7. An instrument's _____ - the sound it produces - is a complex mixture of waves of different frequencies.






8. 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.






9. Every whole number can be uniquely factored as a product of primes. This result guarantees that if the prime factors are ordered from smallest to largest - everyone will get the same result when breaking a number into a product of prime factors.






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






11. Writing Mathematical equations - arrange your work one equation






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






13. Let a and b be whole numbers. Then a is _______________ by b if and only if the remainder is zero when a is divided by b. In this case - we say that 'b is a divisor of a.'






14. 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






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






16. (a · b) · c = a · (b · c)






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






18. If a is any whole number - then a






19. 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






20. 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).






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






22. A sphere can be thought of as a stack of circular discs of increasing - then decreasing - radii. The process of slicing is one way to visualize higher-dimensional objects via level curves and surfaces. A hypersphere can be thought of as a 'stack' of






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

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24. 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






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






26. Add and subtract






27. A · 1 = 1 · a = a






28. 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






29. The expression a/b means






30. An important part of problem solving is identifying






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






32. A · 1/a = 1/a · a = 1






33. Points in two-dimensional space require two numbers to specify them completely. The Cartesian plane is a good way to envision two-dimensional space.






34. (a






35. Topological objects are categorized by their _______ (number of holes). The genus of a surface is a feature of its global topology.






36. All integers are thus divided into three classes:






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






38. 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






39. Requirements for Word Problem Solutions.






40. The state of appearing unchanged.






41. 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






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






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






44. A + b = b + a






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






46. Solving Equations






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






48. A · b = b · a






49. Multiplication is equivalent to






50. 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.