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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. 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.






2. 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






3. A






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






5. The four-dimensional analog of the cube - square - and line segment. A hypercube is formed by taking a 3-D cube - pushing a copy of it into the fourth dimension - and connecting it with cubes. Envisioning this object in lower dimensions requires that






6. 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.






7. Perform all additions and subtractions in the order presented






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






9. 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






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






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






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

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






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






15. An equation is a numerical value that satisfies the equation. That is - when the variable in the equation is replaced by the solution - a true statement results.






16. If a = b then






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






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






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






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






21. 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.






22. If a = b then






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






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






25. 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






26. 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.'






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






28. A · 1/a = 1/a · a = 1






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






30. The state of appearing unchanged.






31. 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






32. Adding the same quantity to both sides of an equation - if a = b - then adding c to both sides of the equation produces the equivalent equation a + c = b + c.






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






34. 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.






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






36. Mathematical statement that equates two mathematical expressions.






37. Has no factors other than 1 and itself






38. 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 -






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






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






41. Also known as gluing diagrams - are a convenient way to examine intrinsic topology.






42. 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.






43. 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).






44. Three is the common property of the group of sets containing three members. This idea is called '__________ -' which is a synonym for 'size.' The set {a -b -c} is a representative set of the cardinal number 3.






45. 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.






46. Writing Mathematical equations - arrange your work one equation






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






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






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. 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.