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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. The expression a^m means a multiplied by itself m times. The number a is called the base of the exponential expression and the number m is called the exponent. The exponent m tells us to repeat the base a as a factor m times.






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






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






4. A flat map of hyperbolic space.






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






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






7. 4 more than a certain number is 12






8. 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






9. To describe and extend a numerical pattern






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

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






12. The state of appearing unchanged.






13. A point in three-dimensional space requires three numbers to fix its location.






14. A · b = b · a






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






16. 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






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






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. 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






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






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






22. Index p radicand






23. The inverse of multiplication






24. In a mathematical sense - it is a transformation that leaves an object invariant. Symmetry is perhaps most familiar as an artistic or aesthetic concept. Designs are said to be symmetric if they exhibit specific kinds of balance - repetition - and/or






25. 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.'






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






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






28. If a = b then






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






30. 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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31. Add and subtract






32. 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.






33. A number is divisible by 2






34. 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.






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






36. We can think of the space between primes as 'prime deserts -' strings of consecutive numbers - none of which are prime.






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






38. The study of shape from an external perspective.






39. If on a surface there is no meaningful way to tell an object's orientation (left or right handedness) - the surface is said to be non-orientable.






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






41. Positive integers are






42. × - ( )( ) - · - 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






43. Of central importance in Ramsey Theory - and in combinatorics in general - is the 'pigeonhole principle -' also known as Dirichlet's box. This principle simply states that we cannot fit n+1 pigeons into n pigeonholes in such a way that only one pigeo






44. 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.






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






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






47. An arrangement where order matters.






48. 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.






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






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






Can you answer 50 questions in 15 minutes?



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