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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 its final digit is a 0.






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






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






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






5. 4 more than a certain number is 12






6. An object possessing continuous symmetries can remain invariant while one symmetry is turned into another. A circle is an example of an object with continuous symmetries.






7. This ubiquitous result describes the outcomes of many trials of events from a wide array of contexts. It says that most results cluster around the average with few results far above or far below average.






8. If a = b then






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






10. A · 1 = 1 · a = a






11. 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






12. (a + b) + c = a + (b + c)






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






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






15. 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.






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






17. 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.






18. Means approximately equal.






19. If a is any whole number - then a






20. Has no factors other than 1 and itself






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






22. 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.






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






24. Index p radicand






25. If a = b then






26. The fundamental theorem of arithmetic says that






27. Three is the common property of the group of sets containing three members. This idea is called '__________ -' which is a synonym for 'size.' The set {a -b -c} is a representative set of the cardinal number 3.






28. A number is divisible by 2






29. × - ( )( ) - · - 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






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






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






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






33. (a






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

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35. If a represents any whole number - then a






36. A flat map of hyperbolic space.






37. 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






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






39. To describe and extend a numerical pattern






40. Negative






41. A + b = b + a






42. If a = b then a + c = b + c If a = b then a - c = b - c If a = b then a






43. You must let your readers know what each variable in your problem represents. This can be accomplished in a number of ways: Statements such as 'Let P represent the perimeter of the rectangle.' - Labeling unknown values with variables in a table - Lab






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






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






46. If a = b then






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






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






49. All integers are thus divided into three classes:






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







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