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






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






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






4. You must let your readers know what each variable in your problem represents. This can be accomplished in a number of ways: Statements such as 'Let P represent the perimeter of the rectangle.' - Labeling unknown values with variables in a table - Lab






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






6. 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.






7. Requirements for Word Problem Solutions.






8. 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.






9. When writing mathematical statements - follow the mantra:






10. 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.






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






12. Add and subtract






13. The system that Euclid used in The Elements






14. Positive integers are






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






16. Solving Equations






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

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






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






20. 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.






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






22. 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.






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






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






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






26. 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






27. Is the shortest string that contains all possible permutations of a particular length from a given set.






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






29. 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






30. This ubiquitous result describes the outcomes of many trials of events from a wide array of contexts. It says that most results cluster around the average with few results far above or far below average.






31. This result says that the symmetries of geometric objects can be expressed as groups of permutations.

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32. A · b = b · a






33. A number is divisible by 2






34. If a = b then






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






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






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






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






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






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






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






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






43. ____________ 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






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






45. 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.'






46. 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.






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






48. When comparing two whole numbers a and b - only one of three possibilities is true: a < b or a = b or a > b.






49. A + b = b + a






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