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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. 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.






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






3. 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.






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






5. 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






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






7. 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.'






8. If a = b then






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






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






11. An equation is a numerical value that satisfies the equation. That is - when the variable in the equation is replaced by the solution - a true statement results.






12. Two equations if they have the same solution set.






13. GThe mathematical study of space. The geometry of a space goes hand in hand with how one defines the shortest distance between two points in that space.






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






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






16. The system that Euclid used in The Elements






17. Codifies the 'average behavior' of a random event and is a key concept in the application of probability.






18. Does not change the solution set. That is - if a = b - then multiplying both sides of the equation by c produces the equivalent equation a






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






20. 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.






21. An object possessing continuous symmetries can remain invariant while one symmetry is turned into another. A circle is an example of an object with continuous symmetries.






22. A






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






24. A + 0 = 0 + a = a






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






26. To describe and extend a numerical pattern






27. 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.






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






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






30. We can think of the space between primes as 'prime deserts -' strings of consecutive numbers - none of which are prime.






31. Positive integers are






32. 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.






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






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






35. If a = b then






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






37. Means approximately equal.






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






39. 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.






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






41. This area of mathematics relates symmetry to whether or not an equation has a 'simple' solution.






42. Non-Euclidean geometries abide by some - but not all of Euclid's five postulates.






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






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






45. Has no factors other than 1 and itself






46. A flat map of hyperbolic space.






47. 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






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






49. 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 -






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






Can you answer 50 questions in 15 minutes?



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