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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. The surface of a standard 'donut shape'.






2. A number is divisible by 2






3. 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.






4. 1. Find the prime factorizations of each number. To find the prime factorization one method is a factor tree where you begin with any two factors and proceed by dividing the numbers until all the ends are prime factors. 2. Star factors which are shar






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






6. Means approximately equal.






7. An arrangement where order matters.






8. This ubiquitous result describes the outcomes of many trials of events from a wide array of contexts. It says that most results cluster around the average with few results far above or far below average.






9. 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






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






11. 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).






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

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13. 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






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






15. If a whole number is not a prime number - then it is called a...






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






17. (a · b) · c = a · (b · c)






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






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. Are the fundamental building blocks of arithmetic.






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






22. The state of appearing unchanged.






23. 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.






24. 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.






25. Mathematical statement that equates two mathematical expressions.






26. The system that Euclid used in The Elements






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






28. To describe and extend a numerical pattern






29. If a = b then






30. Perform all additions and subtractions in the order presented






31. 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.






32. 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.






33. Positive integers are






34. 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.






35. If a represents any whole number - then a






36. 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






37. If a = b then






38. A + b = b + a






39. Aka The Osculating Circle - a way to measure the curvature of a line.






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






41. The expression a^m means a multiplied by itself m times. The number a is called the base of the exponential expression and the number m is called the exponent. The exponent m tells us to repeat the base a as a factor m times.






42. If we start with a number x and subtract a number a - then adding a to the result will return us to the original number x. In symbols - x - a + a = x. So -






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






44. 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






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






46. 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






47. 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.'






48. Let a and b represent two whole numbers. Then - a + b = b + a.






49. 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.






50. Requirements for Word Problem Solutions.