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






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






3. The inverse of multiplication






4. 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






5. Add and subtract






6. 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






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






8. Mathematical statement that equates two mathematical expressions.






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






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






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






12. 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






13. 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.






14. When writing mathematical statements - follow the mantra:






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. 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.






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






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






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






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






21. If a = b then






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






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






24. Are the fundamental building blocks of arithmetic.






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






26. 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






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






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






29. 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.






30. A + 0 = 0 + a = a






31. 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.






32. An important part of problem solving is identifying






33. Multiplication is equivalent to






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






35. W = {0 - 1 - 2 - 3 - 4 - 5 - . . .} is called






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






37. 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).






38. 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






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






40. (a






41. The expression a^m means a multiplied by itself m times. The number a is called the base of the exponential expression and the number m is called the exponent. The exponent m tells us to repeat the base a as a factor m times.






42. 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






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






44. If a = b then






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






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

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






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






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

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