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

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






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






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






5. 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






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






7. Positive integers are






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






9. If we start with a number x and add a number a - then subtracting a from the result will return us to the original number x. x + a - a = x. so -






10. Some favor repeatedly dividing by 2 until the result is no longer divisible by 2. Then try repeatedly dividing by the next prime until the result is no longer divisible by that prime. The process terminates when the last resulting quotient is equal t






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






12. The fundamental theorem of arithmetic says that






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






14. 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 -






15. If a is any whole number - then a






16. (a






17. A · b = b · a






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






19. 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.






20. 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.






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






22. Requirements for Word Problem Solutions.






23. Multiplication is equivalent to






24. 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






25. Let a - b - and c represent whole numbers. Then - (a + b) + c = a + (b + c).






26. 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






27. A + b = b + a






28. 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






29. If its final digit is a 0 or 5.






30. Are the fundamental building blocks of arithmetic.






31. If its final digit is a 0.






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






33. 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.






34. The inverse of multiplication






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






36. Negative






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






38. Is a path that visits every node in a graph and ends where it began.






39. Cantor called the cardinality of all the sets that can be put into one-to-one correspondence with the counting numbers - or 'Aleph Null.'






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






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






42. If a = b then






43. A · 1/a = 1/a · a = 1






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






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






46. A(b + c) = a · b + a · c a(b - c) = a · b - a · c






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






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






49. 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.






50. All integers are thus divided into three classes: