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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. Add and subtract






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






3. The inverse of multiplication






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






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






6. Solving Equations






7. A flat map of hyperbolic space.






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






9. 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






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






11. If a = b then






12. A whole number (other than 1) is a _____________ if its only factors (divisors) are 1 and itself. Equivalently - a number is prime if and only if it has exactly two factors (divisors).






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

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






15. (a






16. 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.'






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






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






19. Also known as gluing diagrams - are a convenient way to examine intrinsic topology.






20. Multiplication is equivalent to






21. 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.






22. 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).






23. 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.






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






25. The fundamental theorem of arithmetic says that






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






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






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






29. 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.'






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






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






32. Has no factors other than 1 and itself






33. If we start with a number x and add a number a - then subtracting a from the result will return us to the original number x. x + a - a = x. so -






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






35. Points in two-dimensional space require two numbers to specify them completely. The Cartesian plane is a good way to envision two-dimensional space.






36. A






37. To describe and extend a numerical pattern






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






39. 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.






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






41. 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.






42. Originally known as analysis situs






43. 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.






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

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

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46. If a and b are any whole numbers - then a






47. 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)






48. 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.






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






50. The expression a/b means






Can you answer 50 questions in 15 minutes?



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