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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. 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






2. An arrangement where order matters.






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






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






5. A whole number (other than 1) is a _____________ if its only factors (divisors) are 1 and itself. Equivalently - a number is prime if and only if it has exactly two factors (divisors).






6. 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.






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






8. 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






9. Assuming that the air is of uniform density and pressure to begin with - a region of high pressure will be balanced by a region of low pressure - called rarefaction - immediately following the compression






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






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






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






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






14. If a = b then






15. Are the fundamental building blocks of arithmetic.






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

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17. 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.






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






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






20. In any ratio of two whole numbers - expressed as a fraction - we can interpret the first (top) number to be the 'counter -' or numerator






21. In the expression 3






22. When writing mathematical statements - follow the mantra:






23. 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.






24. 4 more than a certain number is 12






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

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26. 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






27. A + 0 = 0 + a = a






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






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






30. Dimension is how mathematicians express the idea of degrees of freedom






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






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






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






34. If a = b then






35. Positive integers are






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






37. Has no factors other than 1 and itself






38. Negative






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






40. 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.






41. If a is any whole number - then a






42. The state of appearing unchanged.






43. (a






44. (a · b) · c = a · (b · c)






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






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






47. ____________ theory enables us to use mathematics to characterize and predict the behavior of random events. By 'random' we mean 'unpredictable' in the sense that in a given specific situation - our knowledge of current conditions gives us no way to






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






49. 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.






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






Can you answer 50 questions in 15 minutes?



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