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






2. 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






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






4. The expression a/b means






5. The inverse of multiplication






6. A number is divisible by 2






7. Cannot be written as a ratio of natural numbers.






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






9. Aka The Osculating Circle - a way to measure the curvature of a line.






10. Three is the common property of the group of sets containing three members. This idea is called '__________ -' which is a synonym for 'size.' The set {a -b -c} is a representative set of the cardinal number 3.






11. 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.'






12. 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






13. 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.






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






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






16. 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.






17. ____________ theory enables us to use mathematics to characterize and predict the behavior of random events. By 'random' we mean 'unpredictable' in the sense that in a given specific situation - our knowledge of current conditions gives us no way to






18. 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.






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






20. If a is any whole number - then a






21. 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.






22. × - ( )( ) - · - 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






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

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24. (a · b) · c = a · (b · c)






25. The expression a^m means a multiplied by itself m times. The number a is called the base of the exponential expression and the number m is called the exponent. The exponent m tells us to repeat the base a as a factor m times.






26. 4 more than a certain number is 12






27. 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.






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






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






30. Used to display measurements. The measurement was taken is placed on the horizontal axis - and the height of each bar equals the amount during that year.






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






32. To describe and extend a numerical pattern






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






34. 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






35. 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






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






37. A · 1/a = 1/a · a = 1






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






39. If a = b then






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






41. Multiplication is equivalent to






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






43. The study of shape from the perspective of being on the surface of the shape.






44. 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






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






46. 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 -






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. Assuming that the air is of uniform density and pressure to begin with - a region of high pressure will be balanced by a region of low pressure - called rarefaction - immediately following the compression






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






50. Public key encryption allows two parties to communicate securely over an un-secured computer network using the properties of prime numbers and modular arithmetic. RSA is the modern standard for public key encryption.