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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 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)






2. 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.






3. 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.






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






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






6. The inverse of multiplication






7. The expression a/b means






8. A · 1 = 1 · a = a






9. × - ( )( ) - · - 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






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






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

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






13. 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.






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






15. 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






16. An arrangement where order matters.






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






18. 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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19. When writing mathematical statements - follow the mantra:






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






21. 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






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






23. (a · b) · c = a · (b · c)






24. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.






25. 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).






26. 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.






27. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values






28. Objects are topologically equivalent if they can be continuously deformed into one another. Properties that are preserved during this process are called topological invariants.






29. Are the fundamental building blocks of arithmetic.






30. Positive integers are






31. When comparing two whole numbers a and b - only one of three possibilities is true: a < b or a = b or a > b.






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

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33. 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






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






35. Assuming that the air is of uniform density and pressure to begin with - a region of high pressure will be balanced by a region of low pressure - called rarefaction - immediately following the compression






36. The answer to the question of why the primes occur where they do on the number line has eluded mathematicians for centuries. Gauss's Prime Number Theorem is perhaps one of the most famous attempts to find the 'pattern behind the primes.'






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






38. Let a and b be whole numbers. Then a is _______________ by b if and only if the remainder is zero when a is divided by b. In this case - we say that 'b is a divisor of a.'






39. The distribution of averages of many trials is always normal - even if the distribution of each trial is not.






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






41. 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.






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






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






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






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






46. 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.






47. A · b = b · a






48. Cannot be written as a ratio of natural numbers.






49. 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






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