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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. 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.






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






3. If a = b then






4. 4 more than a certain number is 12






5. 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






6. 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 -






7. If a = b then






8. 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.






9. If the sum of its digits is divisible by 9 (ex: 3591 is divisible by 9 since 3 + 5 + 9 + 1 = 18 is divisible by 9).






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






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






12. ____________ 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






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






14. In this type of geometry the angles of a triangle add up to more than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits no parallel lines as well as modify Euclid's first two postulates.






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






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






17. An important part of problem solving is identifying






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






19. Originally known as analysis situs






20. 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






21. To describe and extend a numerical pattern






22. Perform all additions and subtractions in the order presented






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






24. 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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25. An algebraic 'sentence' containing an unknown quantity.






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

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27. 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.






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






29. The study of shape from an external perspective.






30. 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.






31. 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.






32. 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.'






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






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






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






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

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






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






39. Means approximately equal.






40. 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






41. 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






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

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43. 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






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






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






46. If grouping symbols are nested






47. (a






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






49. 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.






50. Index p radicand







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