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






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






3. A flat map of hyperbolic space.






4. Every solution to a word problem must include a carefully crafted equation that accurately describes the constraints in the problem statement.






5. A






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






7. 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.






8. 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






9. 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.






10. Has no factors other than 1 and itself






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






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






13. 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.






14. A · 1 = 1 · a = a






15. If its final digit is a 0.






16. 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






17. The fundamental theorem of arithmetic says that






18. 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.






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






20. If a = b then






21. An instrument's _____ - the sound it produces - is a complex mixture of waves of different frequencies.






22. Means approximately equal.






23. A point in four-space - also known as 4-D space - requires four numbers to fix its position. Four-space has a fourth independent direction - described by 'ana' and 'kata.'






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






25. The process of taking a complicated signal and breaking it into sine and cosine components.






26. 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.






27. If grouping symbols are nested






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






29. The study of shape from an external perspective.






30. 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.






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






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






33. Topological objects are categorized by their _______ (number of holes). The genus of a surface is a feature of its global topology.






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






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






36. If a represents any whole number - then a






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






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

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39. Requirements for Word Problem Solutions.






40. A + 0 = 0 + a = a






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






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






43. (a · b) · c = a · (b · c)






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






45. If a = b then






46. This step is easily overlooked. For example - the problem might ask for Jane's age - but your equation's solution gives the age of Jane's sister Liz. Make sure you answer the original question asked in the problem. Your solution should be written in






47. Positive integers are






48. 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).






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. 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.






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