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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 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.






2. 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)






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






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






5. 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.






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






7. All integers are thus divided into three classes:






8. It is important to note that this step does not imply that you should simply check your solution in your equation. After all - it's possible that your equation incorrectly models the problem's situation - so you could have a valid solution to an inco






9. 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






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






11. 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 -






12. 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.






13. In a mathematical sense - it is a transformation that leaves an object invariant. Symmetry is perhaps most familiar as an artistic or aesthetic concept. Designs are said to be symmetric if they exhibit specific kinds of balance - repetition - and/or






14. A · 1/a = 1/a · a = 1






15. 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.'






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






17. 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.






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






19. 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






20. The state of appearing unchanged.






21. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.






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






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






24. GThe mathematical study of space. The geometry of a space goes hand in hand with how one defines the shortest distance between two points in that space.






25. 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).






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






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






28. 4 more than a certain number is 12






29. Means approximately equal.






30. If its final digit is a 0.






31. The four-dimensional analog of the cube - square - and line segment. A hypercube is formed by taking a 3-D cube - pushing a copy of it into the fourth dimension - and connecting it with cubes. Envisioning this object in lower dimensions requires that






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






33. × - ( )( ) - · - 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






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






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






36. A number is divisible by 2






37. When writing mathematical statements - follow the mantra:






38. 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






39. Are the fundamental building blocks of arithmetic.






40. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values






41. If a = b then






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






43. 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






44. 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.






45. Solving Equations






46. 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






47. This famous - as yet unproven - result relates to the distribution of prime numbers on the number line.






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






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






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






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