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






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






3. When writing mathematical statements - follow the mantra:






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






5. You must let your readers know what each variable in your problem represents. This can be accomplished in a number of ways: Statements such as 'Let P represent the perimeter of the rectangle.' - Labeling unknown values with variables in a table - Lab






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






7. 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.






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






9. If a represents any whole number - then a






10. A · b = b · a






11. 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.'






12. A '___________' infinite set is one that can be put into one-to-one correspondence with the set of natural numbers.






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






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. 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






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






17. The study of shape from an external perspective.






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






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






20. If grouping symbols are nested






21. A topological invariant that relates a surface's vertices - edges - and faces.






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






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






24. A + b = b + a






25. 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






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






27. Positive integers are






28. 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






29. 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.






30. GThe mathematical study of space. The geometry of a space goes hand in hand with how one defines the shortest distance between two points in that space.






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






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






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






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






35. Index p radicand






36. Requirements for Word Problem Solutions.






37. 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.






38. The amount of displacement - as measured from the still surface line.






39. If the sum of its digits is divisible by 9 (ex: 3591 is divisible by 9 since 3 + 5 + 9 + 1 = 18 is divisible by 9).






40. 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.






41. 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.'






42. 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)






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






44. The inverse of multiplication






45. If a = b then






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






47. Dimension is how mathematicians express the idea of degrees of freedom






48. Three is the common property of the group of sets containing three members. This idea is called '__________ -' which is a synonym for 'size.' The set {a -b -c} is a representative set of the cardinal number 3.






49. 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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50. 1. Find the prime factorizations of each number.