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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. 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






2. (a






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






4. At each level of the tree - break the current number into a product of two factors. The process is complete when all of the 'circled leaves' at the bottom of the tree are prime numbers. Arranging the factors in the 'circled leaves' in order. The fina






5. We can think of the space between primes as 'prime deserts -' strings of consecutive numbers - none of which are prime.






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






7. GThe mathematical study of space. The geometry of a space goes hand in hand with how one defines the shortest distance between two points in that space.






8. Add and subtract






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






11. If a = b then






12. Has no factors other than 1 and itself






13. In the expression 3






14. Perform all additions and subtractions in the order presented






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






16. 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.






17. Multiplication is equivalent to






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






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






20. If a - b - and c are any whole numbers - then a






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






22. This famous - as yet unproven - result relates to the distribution of prime numbers on the number line.






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






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






25. You must let your readers know what each variable in your problem represents. This can be accomplished in a number of ways: Statements such as 'Let P represent the perimeter of the rectangle.' - Labeling unknown values with variables in a table - Lab






26. 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






27. In a mathematical sense - it is a transformation that leaves an object invariant. Symmetry is perhaps most familiar as an artistic or aesthetic concept. Designs are said to be symmetric if they exhibit specific kinds of balance - repetition - and/or






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






29. 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.






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






31. The expression a/b means






32. 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.'






33. A flat map of hyperbolic space.






34. Cantor called the cardinality of all the sets that can be put into one-to-one correspondence with the counting numbers - or 'Aleph Null.'






35. Writing Mathematical equations - arrange your work one equation






36. If a = b then






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






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

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39. If a and b are any whole numbers - then a






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






41. If its final digit is a 0.






42. 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.






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






44. Objects are topologically equivalent if they can be continuously deformed into one another. Properties that are preserved during this process are called topological invariants.






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






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

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47. A + b = b + a






48. A · 1 = 1 · a = a






49. A · 1/a = 1/a · a = 1






50. 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.