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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. (a · b) · c = a · (b · c)






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






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






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






5. Solving Equations






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






7. Use parentheses - brackets - or curly braces to delimit the part of an expression you want evaluated first.






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






9. 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






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






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






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






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






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






15. 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.






16. 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.






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






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






19. A + 0 = 0 + a = a






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






21. 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.






22. 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).






23. If a = b then






24. 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.






25. A






26. 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






27. If a is any whole number - then a






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. (a






30. The fundamental theorem of arithmetic says that






31. Has no factors other than 1 and itself






32. A point in one dimension requires only one number to define it. The number line is a good example of a one-dimensional space.






33. 4 more than a certain number is 12






34. This result relates conserved physical quantities - like conservation of energy - to continuous symmetries of spacetime.

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35. The inverse of multiplication






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






37. 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).






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






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. Cannot be written as a ratio of natural numbers.






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






42. 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 -






43. Perform all additions and subtractions in the order presented






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






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






46. 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.






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






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






49. 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.






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