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






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






3. If a is any whole number - then a






4. The system that Euclid used in The Elements






5. If a = b then






6. A + 0 = 0 + a = a






7. A flat map of hyperbolic space.






8. (a






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






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






11. Has no factors other than 1 and itself






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






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






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






15. 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.






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

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






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






19. (a + b) + c = a + (b + c)






20. An important part of problem solving is identifying






21. If a = b then a + c = b + c If a = b then a - c = b - c If a = b then a






22. Requirements for Word Problem Solutions.






23. 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






24. A way to extrinsically measure the curvature of a surface by looking at a given point and finding the contour line with the greatest curvature and the contour line with the least curvature.






25. Mathematical statement that equates two mathematical expressions.






26. Cannot be written as a ratio of natural numbers.






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






28. 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 -






29. If a represents any whole number - then a






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






31. To describe and extend a numerical pattern






32. Of central importance in Ramsey Theory - and in combinatorics in general - is the 'pigeonhole principle -' also known as Dirichlet's box. This principle simply states that we cannot fit n+1 pigeons into n pigeonholes in such a way that only one pigeo






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






34. 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).






35. 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).






36. Is the length around an object. Used to calculate such things as fencing around a yard - trimming a piece of material - and the amount of baseboard needed for a room.It is not necessary to have a formula since it is always just calculated by adding t






37. Used to display measurements. The measurement was taken is placed on the horizontal axis - and the height of each bar equals the amount during that year.






38. Positive integers are






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






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






41. If a = b then






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






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






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






45. × - ( )( ) - · - 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






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






47. Are the fundamental building blocks of arithmetic.






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






49. The fundamental theorem of arithmetic says that






50. When writing mathematical statements - follow the mantra:







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