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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. 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.






2. 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.






3. 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






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






5. An important part of problem solving is identifying






6. The fundamental theorem of arithmetic says that






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






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






9. A + 0 = 0 + a = a






10. 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.'






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






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






13. (a · b) · c = a · (b · c)






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






15. 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.






16. The study of shape from an external perspective.






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

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18. 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.






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






20. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones






21. 4 more than a certain number is 12






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






23. Whether or not we hear waves as sound has everything to do with their _____________ - or how many times every second the molecules switch from compression to rarefaction and back to compression again - and their intensity - or how much the air is com






24. If a = b then






25. The inverse of multiplication






26. Originally known as analysis situs






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






28. 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






29. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.






30. A · 1 = 1 · a = a






31. Writing Mathematical equations - arrange your work one equation






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






33. Means approximately equal.






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






35. If a is any whole number - then a






36. 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).






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






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






39. 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






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. 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. Requirements for Word Problem Solutions.






43. The system that Euclid used in The Elements






44. ____________ theory enables us to use mathematics to characterize and predict the behavior of random events. By 'random' we mean 'unpredictable' in the sense that in a given specific situation - our knowledge of current conditions gives us no way to






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






46. Index p radicand






47. 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






48. 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.






49. 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).






50. 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.