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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. Writing Mathematical equations - arrange your work one equation






2. Originally known as analysis situs






3. If its final digit is a 0.






4. Perform all additions and subtractions in the order presented






5. The fundamental theorem of arithmetic says that






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






7. 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.






8. A flat map of hyperbolic space.






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






10. 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).






11. A graph in which every node is connected to every other node is called a complete graph.






12. A + 0 = 0 + a = a






13. Requirements for Word Problem Solutions.






14. 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






15. 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.






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






17. Is a path that visits every node in a graph and ends where it began.






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






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






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






21. An equation is a numerical value that satisfies the equation. That is - when the variable in the equation is replaced by the solution - a true statement results.






22. 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.






23. Adding the same quantity to both sides of an equation - if a = b - then adding c to both sides of the equation produces the equivalent equation a + c = b + c.






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






25. Does not change the solution set. That is - if a = b - then dividing both sides of the equation by c produces the equivalent equation a/c = b/c - provided c = 0.






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






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






28. In the expression 3






29. 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






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






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






32. 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).






33. Is the length around an object. Used to calculate such things as fencing around a yard - trimming a piece of material - and the amount of baseboard needed for a room.It is not necessary to have a formula since it is always just calculated by adding t






34. ____________ 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






35. 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.






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






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

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38. An arrangement where order matters.






39. Every whole number can be uniquely factored as a product of primes. This result guarantees that if the prime factors are ordered from smallest to largest - everyone will get the same result when breaking a number into a product of prime factors.






40. Let a and b represent two whole numbers. Then - a + b = b + a.






41. A






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

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43. A number is divisible by 2






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

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45. W = {0 - 1 - 2 - 3 - 4 - 5 - . . .} is called






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






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






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






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






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