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






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






3. Requirements for Word Problem Solutions.






4. Means approximately equal.






5. 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.






6. If grouping symbols are nested






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






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






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






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






11. 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)






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

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13. 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.'






14. 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.






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






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






17. 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






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






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. × - ( )( ) - · - 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






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

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






23. Mathematical statement that equates two mathematical expressions.






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






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






26. A number is divisible by 2






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






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






29. (a






30. 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.






31. 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.






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






33. This important result says that every natural number greater than one can be expressed as a product of primes in exactly one way.






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

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






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






37. The state of appearing unchanged.






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






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






40. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones






41. If a - b - and c are any whole numbers - then a






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






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






44. 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






45. A






46. 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).






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






48. 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.






49. All integers are thus divided into three classes:






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







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