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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. TA model of a sequence of random events. Each marble that passes through the system represents a trial consisting of as many random events as there are rows in the system.






2. Also known as gluing diagrams - are a convenient way to examine intrinsic topology.






3. 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.






4. 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






5. 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






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






7. 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






8. In the expression 3






9. Topological objects are categorized by their _______ (number of holes). The genus of a surface is a feature of its global topology.






10. In any ratio of two whole numbers - expressed as a fraction - we can interpret the first (top) number to be the 'counter -' or numerator






11. All integers are thus divided into three classes:






12. Reveals why we tend to find structure in seemingly random sets. Ramsey numbers indicate how big a set must be to guarantee the existence of certain minimal structures.






13. Original Balance minus River Tam's Withdrawal is Current Balance






14. If a is any whole number - then a






15. 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.






16. This means that for any two magnitudes - one should always be able to find a fundamental unit that fits some whole number of times into each of them (i.e. - a unit whose magnitude is a whole number factor of each of the original magnitudes)






17. Solving Equations






18. 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.'






19. Originally known as analysis situs






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






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






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


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






24. Negative






25. 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






26. 4 more than a certain number is 12






27. Means approximately equal.






28. 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 -






29. 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






30. 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.






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






32. If a = b then






33. Also known as 'clock math -' incorporates 'wrap around' effects by having some number other than zero play the role of zero in addition - subtraction - multiplication - and division.






34. 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.






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






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






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






38. Add and subtract






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






40. 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).






41. Has no factors other than 1 and itself






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






43. The fundamental theorem of arithmetic says that






44. Writing Mathematical equations - arrange your work one equation






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






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






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






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






49. × - ( )( ) - · - 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






50. The expression a/b means