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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. If a whole number is not a prime number - then it is called a...






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






3. If grouping symbols are nested






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






5. A · 1/a = 1/a · a = 1






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






7. 4 more than a certain number is 12






8. A factor tree is a way to visualize a number's






9. 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.'






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






11. 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).






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






13. 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.






14. A flat map of hyperbolic space.






15. If a = b then






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






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






18. Perform all additions and subtractions in the order presented






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






20. All integers are thus divided into three classes:






21. A + b = b + a






22. Has no factors other than 1 and itself






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






24. Mathematical statement that equates two mathematical expressions.






25. Determines the likelihood of events that are not independent of one another.






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






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






28. 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.






29. 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






30. 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.






31. Some favor repeatedly dividing by 2 until the result is no longer divisible by 2. Then try repeatedly dividing by the next prime until the result is no longer divisible by that prime. The process terminates when the last resulting quotient is equal t






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






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






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






36. A sphere can be thought of as a stack of circular discs of increasing - then decreasing - radii. The process of slicing is one way to visualize higher-dimensional objects via level curves and surfaces. A hypersphere can be thought of as a 'stack' of






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






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






39. You must let your readers know what each variable in your problem represents. This can be accomplished in a number of ways: Statements such as 'Let P represent the perimeter of the rectangle.' - Labeling unknown values with variables in a table - Lab






40. A · 1 = 1 · a = a






41. An object possessing continuous symmetries can remain invariant while one symmetry is turned into another. A circle is an example of an object with continuous symmetries.






42. 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






43. Index p radicand






44. This important result says that every natural number greater than one can be expressed as a product of primes in exactly one way.






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






46. This ubiquitous result describes the outcomes of many trials of events from a wide array of contexts. It says that most results cluster around the average with few results far above or far below average.






47. The inverse of multiplication






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






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






50. 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