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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. 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.






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






3. 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.






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

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5. 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).






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






7. 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.






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






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






10. Some numbers make geometric shapes when arranged as a collection of dots - for example - 16 makes a square - and 10 makes a triangle.






11. Uses second derivatives to relate acceleration in space to acceleration in time.






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






13. Add and subtract






14. 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






15. A way to measure how far away a given individual result is from the average result.






16. A number is divisible by 2






17. 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






18. If a = b then a + c = b + c If a = b then a - c = b - c If a = b then a






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






20. 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.






21. 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.






22. 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.






23. Mathematical statement that equates two mathematical expressions.






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






25. Multiplication is equivalent to






26. An instrument's _____ - the sound it produces - is a complex mixture of waves of different frequencies.






27. Originally known as analysis situs






28. Division by zero is undefined. Each of the expressions 6






29. × - ( )( ) - · - 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






30. 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.






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






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






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






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






35. A






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






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






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






39. 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






40. 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






41. Two equations if they have the same solution set.






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






44. The amount of displacement - as measured from the still surface line.






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






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






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






48. If we start with a number x and add a number a - then subtracting a from the result will return us to the original number x. x + a - a = x. so -






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






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