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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. 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






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






3. A topological object that can be used to study the allowable states of a given system.






4. (a






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






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






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






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






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






10. 4 more than a certain number is 12






11. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.






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






13. (a · b) · c = a · (b · c)






14. 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).






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






16. Positive integers are






17. 1. Find the prime factorizations of each number. To find the prime factorization one method is a factor tree where you begin with any two factors and proceed by dividing the numbers until all the ends are prime factors. 2. Star factors which are shar






18. Means approximately equal.






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

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






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






22. Index p radicand






23. ____________ theory enables us to use mathematics to characterize and predict the behavior of random events. By 'random' we mean 'unpredictable' in the sense that in a given specific situation - our knowledge of current conditions gives us no way to






24. The inverse of multiplication






25. Requirements for Word Problem Solutions.






26. If a represents any whole number - then a






27. A group is just a collection of objects (i.e. - elements in a set) that obey a few rules when combined or composed by an operation. In order for a set to be considered a group under a certain operation - each element must have an inverse - the set mu






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






29. Solving Equations






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






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






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






33. 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.






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






35. Negative






36. Of central importance in Ramsey Theory - and in combinatorics in general - is the 'pigeonhole principle -' also known as Dirichlet's box. This principle simply states that we cannot fit n+1 pigeons into n pigeonholes in such a way that only one pigeo






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






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






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






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






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






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






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






44. When writing mathematical statements - follow the mantra:






45. This step is easily overlooked. For example - the problem might ask for Jane's age - but your equation's solution gives the age of Jane's sister Liz. Make sure you answer the original question asked in the problem. Your solution should be written in






46. Has no factors other than 1 and itself






47. 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.






48. The study of shape from an external perspective.






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






50. If a = b then