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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. 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.






2. 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






3. Solving Equations






4. 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.'






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






6. 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






7. 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






8. The system that Euclid used in The Elements






9. A point in three-dimensional space requires three numbers to fix its location.






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






11. 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.






12. Let a and b be whole numbers. Then a is _______________ by b if and only if the remainder is zero when a is divided by b. In this case - we say that 'b is a divisor of a.'






13. If a = b then






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

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15. The identification of a 'one-to-one' correspondence--enables us to enumerate a set that may be difficult to count in terms of another set that is more easily counted.






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






17. When writing mathematical statements - follow the mantra:






18. 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.






19. 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).






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






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






22. This means that for any two magnitudes - one should always be able to find a fundamental unit that fits some whole number of times into each of them (i.e. - a unit whose magnitude is a whole number factor of each of the original magnitudes)






23. A · b = b · a






24. 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.






25. Means approximately equal.






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






27. (a · b) · c = a · (b · c)






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






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






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






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






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






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






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






35. If we start with a number x and multiply by a number a - then dividing the result by the number a returns us to the original number x. In symbols - a






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






37. If a represents any whole number - then a






38. If a = b then






39. Non-Euclidean geometries abide by some - but not all of Euclid's five postulates.






40. 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 -






41. 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.






42. 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






43. A way to analyze sequences of events where the outcomes of prior events affect the probability of outcomes of subsequent events.






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






45. Index p radicand






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






47. A flat map of hyperbolic space.






48. Is a path that visits every node in a graph and ends where it began.






49. 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.






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







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