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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 model is at the forefront of probability research. Mathematicians use it to model traffic patterns in an attempt to understand flow rates and gridlock - among other things.






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






3. 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






4. 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.'






5. An instrument's _____ - the sound it produces - is a complex mixture of waves of different frequencies.






6. 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






7. 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.






8. Are the fundamental building blocks of arithmetic.






9. (a · b) · c = a · (b · c)






10. 1. Find the prime factorizations of each number.






11. 4 more than a certain number is 12






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






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

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14. Means approximately equal.






15. A way to measure how far away a given individual result is from the average result.






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






17. Division by zero is undefined. Each of the expressions 6






18. This means that for any two magnitudes - one should always be able to find a fundamental unit that fits some whole number of times into each of them (i.e. - a unit whose magnitude is a whole number factor of each of the original magnitudes)






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






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






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






22. 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






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






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






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






26. 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.






27. In this type of geometry the angles of a triangle add up to more than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits no parallel lines as well as modify Euclid's first two postulates.






28. When writing mathematical statements - follow the mantra:






29. 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.






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






31. 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






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






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






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






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






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






37. A number is divisible by 2






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






39. 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






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

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41. An arrangement where order matters.






42. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.






43. 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






44. Public key encryption allows two parties to communicate securely over an un-secured computer network using the properties of prime numbers and modular arithmetic. RSA is the modern standard for public key encryption.






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






46. Has no factors other than 1 and itself






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






48. 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






49. 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.






50. 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.