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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. 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.






2. 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).






3. Originally known as analysis situs






4. When writing mathematical statements - follow the mantra:






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






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






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






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






9. Add and subtract






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






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

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






13. 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






14. A






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






16. 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).






17. If a is any whole number - then a






18. 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.






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






20. 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






21. If grouping symbols are nested






22. 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.






23. 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






24. 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.






25. N = {1 - 2 - 3 - 4 - 5 - . . .}.






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






27. The expression a/b means






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






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






30. 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






31. In this type of geometry the angles of a triangle add up to less than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits many parallel lines.






32. Multiplication is equivalent to






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






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






35. Writing Mathematical equations - arrange your work one equation






36. 4 more than a certain number is 12






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






38. Negative






39. 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.'






40. 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.'






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






42. 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.






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






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






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






46. Original Balance minus River Tam's Withdrawal is Current Balance






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






48. 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.






49. Has no factors other than 1 and itself






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