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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. If a = b then






2. × - ( )( ) - · - 1. Multiply the numbers (ignoring the signs)2. The answer is positive if they have the same signs. 3. The answer is negative if they have different signs. 4. Alternatively - count the amount of negative numbers. If there are an even






3. Means approximately equal.






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






5. This method can create a flat map from a curved surface while preserving all angles in any features present.






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






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






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. The inverse of multiplication






10. 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






11. Breaks a complicated signal into a combination of simple sine waves. Fourier synthesis does the opposite - constructing a complicated signal from simple sine waves.






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






13. Does not change the solution set. That is - if a = b - then multiplying both sides of the equation by c produces the equivalent equation a






14. In this type of geometry the angles of a triangle add up to more than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits no parallel lines as well as modify Euclid's first two postulates.






15. This ubiquitous result describes the outcomes of many trials of events from a wide array of contexts. It says that most results cluster around the average with few results far above or far below average.






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






17. If a is any whole number - then a






18. 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.






19. 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.






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






21. 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.






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






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






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






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. 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






27. 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 -






28. A factor tree is a way to visualize a number's






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






30. N = {1 - 2 - 3 - 4 - 5 - . . .}.






31. 4 more than a certain number is 12






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

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33. Perform all additions and subtractions in the order presented






34. ____________ 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






35. 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.






36. If a represents any whole number - then a






37. 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.






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






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






40. A · 1/a = 1/a · a = 1






41. A · 1 = 1 · a = a






42. Multiplication is equivalent to






43. If a = b then






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. 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.'






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






47. 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).






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






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






50. This important result says that every natural number greater than one can be expressed as a product of primes in exactly one way.







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