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






2. 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.






3. If its final digit is a 0.






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






5. Aka The Osculating Circle - a way to measure the curvature of a line.






6. Are the fundamental building blocks of arithmetic.






7. The system that Euclid used in The Elements






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






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






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






11. 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.'






12. 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).






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






14. TA model of a sequence of random events. Each marble that passes through the system represents a trial consisting of as many random events as there are rows in the system.






15. The study of shape from an external perspective.






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






17. An algebraic 'sentence' containing an unknown quantity.






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






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






20. Has no factors other than 1 and itself






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






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






23. Requirements for Word Problem Solutions.






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






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






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






27. Negative






28. (a + b) + c = a + (b + c)






29. The expression a/b means






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






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






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

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33. The inverse of multiplication






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






35. Every solution to a word problem must include a carefully crafted equation that accurately describes the constraints in the problem statement.






36. Multiplication is equivalent to






37. (a






38. If a = b then






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






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






41. 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






42. × - ( )( ) - · - 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






43. Is the length around an object. Used to calculate such things as fencing around a yard - trimming a piece of material - and the amount of baseboard needed for a room.It is not necessary to have a formula since it is always just calculated by adding t






44. An arrangement where order matters.






45. The solutions to this gambling dilemma is traditionally held to be the start of modern probability theory.






46. 4 more than a certain number is 12






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






48. 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






49. In any ratio of two whole numbers - expressed as a fraction - we can interpret the first (top) number to be the 'counter -' or numerator






50. A topological invariant that relates a surface's vertices - edges - and faces.