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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. Use parentheses - brackets - or curly braces to delimit the part of an expression you want evaluated first.






2. 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.'






3. 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.






4. The fundamental theorem of arithmetic says that






5. Writing Mathematical equations - arrange your work one equation






6. When writing mathematical statements - follow the mantra:






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






8. (a






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






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






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






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






13. A way to measure how far away a given individual result is from the average result.






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






15. 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






16. In the expression 3






17. 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






18. An arrangement where order matters.






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






20. 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.






21. 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






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






23. To describe and extend a numerical pattern






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






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






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






27. A · 1/a = 1/a · a = 1






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






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






30. 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.






31. 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






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






33. If a is any whole number - then a






34. If a represents any whole number - then a






35. A + 0 = 0 + a = a






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






37. The study of shape from an external perspective.






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






39. The four-dimensional analog of the cube - square - and line segment. A hypercube is formed by taking a 3-D cube - pushing a copy of it into the fourth dimension - and connecting it with cubes. Envisioning this object in lower dimensions requires that






40. 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.






41. Are the fundamental building blocks of arithmetic.






42. The distribution of averages of many trials is always normal - even if the distribution of each trial is not.






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






44. Is the length around an object. Used to calculate such things as fencing around a yard - trimming a piece of material - and the amount of baseboard needed for a room.It is not necessary to have a formula since it is always just calculated by adding t






45. Negative






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






47. The inverse of multiplication






48. At each level of the tree - break the current number into a product of two factors. The process is complete when all of the 'circled leaves' at the bottom of the tree are prime numbers. Arranging the factors in the 'circled leaves' in order. The fina






49. 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.






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