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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. Points in two-dimensional space require two numbers to specify them completely. The Cartesian plane is a good way to envision two-dimensional space.






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

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3. A + 0 = 0 + a = a






4. 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.






5. 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






6. Requirements for Word Problem Solutions.






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






8. Writing Mathematical equations - arrange your work one equation






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






10. A flat map of hyperbolic space.






11. 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 -






12. 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.






13. 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






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






15. 4 more than a certain number is 12






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






17. 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.






18. 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.






19. If a represents any whole number - then a






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






21. 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.






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

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






24. If a = b then






25. Index p radicand






26. A + b = b + a






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






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






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






30. 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.






31. The study of shape from an external perspective.






32. When writing mathematical statements - follow the mantra:






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






34. A · 1/a = 1/a · a = 1






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






36. If a is any whole number - then a






37. (a · b) · c = a · (b · c)






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






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






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






41. 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






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






43. Assuming that the air is of uniform density and pressure to begin with - a region of high pressure will be balanced by a region of low pressure - called rarefaction - immediately following the compression






44. Let a - b - and c represent whole numbers. Then - (a + b) + c = a + (b + c).






45. All integers are thus divided into three classes:






46. 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.






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






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. 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.






50. Every solution to a word problem must include a carefully crafted equation that accurately describes the constraints in the problem statement.