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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 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 -






2. In this type of geometry the angles of a triangle add up to less than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits many parallel lines.






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






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






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






6. When writing mathematical statements - follow the mantra:






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






8. Add and subtract






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






10. Mathematical statement that equates two mathematical expressions.






11. 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






12. 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






13. Points in two-dimensional space require two numbers to specify them completely. The Cartesian plane is a good way to envision two-dimensional space.






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






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






16. Writing Mathematical equations - arrange your work one equation






17. If a = b then






18. 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






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






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






21. Requirements for Word Problem Solutions.






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






23. If a represents any whole number - then a






24. In the expression 3






25. 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






26. The system that Euclid used in The Elements






27. A + (-a) = (-a) + a = 0






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






29. 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.






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






31. 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






32. An arrangement where order matters.






33. A flat map of hyperbolic space.






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






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






36. 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.'






37. Some numbers make geometric shapes when arranged as a collection of dots - for example - 16 makes a square - and 10 makes a triangle.






38. 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






39. Is a symbol (usually a letter) that stands for a value that may vary.






40. A + b = b + a






41. A · b = b · a






42. (a · b) · c = a · (b · c)






43. 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.






44. Says that when a random process - such as dropping marbles through a Galton board - is repeated many times - the frequencies of the observed outcomes get increasingly closer to the theoretical probabilities.






45. Solving Equations






46. 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.






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

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48. 4 more than a certain number is 12






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






50. A '___________' infinite set is one that can be put into one-to-one correspondence with the set of natural numbers.