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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. 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.






2. If its final digit is a 0 or 5.






3. (a






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






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






6. A · 1/a = 1/a · a = 1






7. 1. Any two points can be joined by a straight line. 2. Any straight line segment can be extended indefinitely in a straight line. 3. Given any straight line segment - a circle can be drawn having the segment as radius and one endpoint as center. 4. A

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8. If a is any whole number - then a






9. A flat map of hyperbolic space.






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






11. Means approximately equal.






12. 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






13. In the expression 3






14. When writing mathematical statements - follow the mantra:






15. 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.'






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






17. 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.'






18. Mathematical statement that equates two mathematical expressions.






19. When comparing two whole numbers a and b - only one of three possibilities is true: a < b or a = b or a > b.






20. Requirements for Word Problem Solutions.






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






22. If a = b then






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






24. The inverse of multiplication






25. Positive integers are






26. Whether or not we hear waves as sound has everything to do with their _____________ - or how many times every second the molecules switch from compression to rarefaction and back to compression again - and their intensity - or how much the air is com






27. 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






28. 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






29. 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






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






31. 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.






32. The expression a/b means






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






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






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






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






37. 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.






38. 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.






39. 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






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






41. The system that Euclid used in The Elements






42. Has no factors other than 1 and itself






43. We can think of the space between primes as 'prime deserts -' strings of consecutive numbers - none of which are prime.






44. 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






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






46. Originally known as analysis situs






47. A + b = b + a






48. If on a surface there is no meaningful way to tell an object's orientation (left or right handedness) - the surface is said to be non-orientable.






49. At each level of the tree - break the current number into a product of two factors. The process is complete when all of the 'circled leaves' at the bottom of the tree are prime numbers. Arranging the factors in the 'circled leaves' in order. The fina






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