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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 a is any whole number - then a






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






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






4. Multiplication is equivalent to






5. 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






6. If a - b - and c are any whole numbers - then a






7. If its final digit is a 0.






8. Perform all additions and subtractions in the order presented






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






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






11. The system that Euclid used in The Elements






12. 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.






13. 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.






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

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






16. 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.






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






18. The study of shape from an external perspective.






19. 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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20. All integers are thus divided into three classes:






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

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






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






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

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






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






27. Index p radicand






28. 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






29. The state of appearing unchanged.






30. A factor tree is a way to visualize a number's






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






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






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






34. Are the fundamental building blocks of arithmetic.






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






36. If grouping symbols are nested






37. If a and b are any whole numbers - then a






38. The surface of a standard 'donut shape'.






39. A flat map of hyperbolic space.






40. The cardinality of sets that cannot be put into one-to-one correspondence with the counting numbers - such as the set of real numbers - is referred to as c. The designations A_0 and c are known as 'transfinite' cardinalities.






41. × - ( )( ) - · - 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






42. A · 1 = 1 · a = a






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






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






45. 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 -






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






47. 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.






48. 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.'






49. If a = b then






50. Originally known as analysis situs