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

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






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






4. A group is just a collection of objects (i.e. - elements in a set) that obey a few rules when combined or composed by an operation. In order for a set to be considered a group under a certain operation - each element must have an inverse - the set mu






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






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






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






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






9. Cantor called the cardinality of all the sets that can be put into one-to-one correspondence with the counting numbers - or 'Aleph Null.'






10. (a · b) · c = a · (b · c)






11. 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).






12. A number is divisible by 2






13. A way to analyze sequences of events where the outcomes of prior events affect the probability of outcomes of subsequent events.






14. All integers are thus divided into three classes:






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






16. 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.






17. 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).






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






19. A point in one dimension requires only one number to define it. The number line is a good example of a one-dimensional space.






20. 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.'






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






22. 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






23. The system that Euclid used in The Elements






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






25. 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.






26. 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






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






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






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






30. 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.






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






32. 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 -






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






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






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






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






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






38. If a is any whole number - then a






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






40. 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.






41. 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.






42. Use parentheses - brackets - or curly braces to delimit the part of an expression you want evaluated first.






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






44. 4 more than a certain number is 12






45. 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






46. 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






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






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






49. Does not change the solution set. That is - if a = b - then multiplying both sides of the equation by c produces the equivalent equation a






50. 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.







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