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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. Requirements for Word Problem Solutions.






2. A · 1/a = 1/a · a = 1






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






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






5. Means approximately equal.






6. 1. Find the prime factorizations of each number.






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






8. A · b = b · a






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






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






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






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






13. A flat map of hyperbolic space.






14. If we start with a number x and subtract a number a - then adding a to the result will return us to the original number x. In symbols - x - a + a = x. So -






15. This step is easily overlooked. For example - the problem might ask for Jane's age - but your equation's solution gives the age of Jane's sister Liz. Make sure you answer the original question asked in the problem. Your solution should be written in






16. The system that Euclid used in The Elements






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






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






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






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






21. Index p radicand






22. 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.






23. If a = b then






24. 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.






25. Whether or not we hear waves as sound has everything to do with their _____________ - or how many times every second the molecules switch from compression to rarefaction and back to compression again - and their intensity - or how much the air is com






26. 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.






27. Originally known as analysis situs






28. 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






29. 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.






30. 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






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






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






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






34. 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






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






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






37. ____________ 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






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






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






40. 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.






41. The answer to the question of why the primes occur where they do on the number line has eluded mathematicians for centuries. Gauss's Prime Number Theorem is perhaps one of the most famous attempts to find the 'pattern behind the primes.'






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






43. If on a surface there is no meaningful way to tell an object's orientation (left or right handedness) - the surface is said to be non-orientable.






44. 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).






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






46. 4 more than a certain number is 12






47. 1. Find the prime factorizations of each number. To find the prime factorization one method is a factor tree where you begin with any two factors and proceed by dividing the numbers until all the ends are prime factors. 2. Star factors which are shar






48. 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






49. 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






50. In the expression 3