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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 model is at the forefront of probability research. Mathematicians use it to model traffic patterns in an attempt to understand flow rates and gridlock - among other things.






2. 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.






3. 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 -






4. 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






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






6. A point in one dimension requires only one number to define it. The number line is a good example of a one-dimensional space.






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






8. All integers are thus divided into three classes:






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






10. Writing Mathematical equations - arrange your work one equation






11. The expression a/b means






12. 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.






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






14. A topological object that can be used to study the allowable states of a given system.






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






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






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






18. 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.'






19. Division by zero is undefined. Each of the expressions 6






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






21. 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).






22. Are the fundamental building blocks of arithmetic.






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






24. To describe and extend a numerical pattern






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






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






27. 1. Any two points can be joined by a straight line. 2. Any straight line segment can be extended indefinitely in a straight line. 3. Given any straight line segment - a circle can be drawn having the segment as radius and one endpoint as center. 4. A

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28. 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.






29. In this type of geometry the angles of a triangle add up to less than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits many parallel lines.






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






31. 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






32. 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.






33. Means approximately equal.






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






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






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






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






38. Index p radicand






39. 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.






40. The fundamental theorem of arithmetic says that






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. Two equations if they have the same solution set.






43. Positive integers are






44. The identification of a 'one-to-one' correspondence--enables us to enumerate a set that may be difficult to count in terms of another set that is more easily counted.






45. When writing mathematical statements - follow the mantra:






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






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






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






49. ____________ 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






50. If a = b then