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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. 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






2. Mathematical statement that equates two mathematical expressions.






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






4. To describe and extend a numerical pattern






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






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






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






8. 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.






9. 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.






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






11. Index p radicand






12. A + b = b + a






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






14. Requirements for Word Problem Solutions.






15. A






16. 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.






17. 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.






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






19. Used to display measurements. The measurement was taken is placed on the horizontal axis - and the height of each bar equals the amount during that year.






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






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






22. 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






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






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






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






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






27. If a and b are any whole numbers - then a






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






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






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






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






32. If a whole number is not a prime number - then it is called a...






33. If a = b then






34. 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.






35. This step is easily overlooked. For example - the problem might ask for Jane's age - but your equation's solution gives the age of Jane's sister Liz. Make sure you answer the original question asked in the problem. Your solution should be written in






36. Solving Equations






37. A · 1/a = 1/a · a = 1






38. If its final digit is a 0.






39. A · b = b · a






40. 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.






41. The amount of displacement - as measured from the still surface line.






42. 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.






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






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






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






46. 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.






47. Let a - b - and c be any whole numbers. Then - a






48. Has no factors other than 1 and itself






49. A way to analyze sequences of events where the outcomes of prior events affect the probability of outcomes of subsequent events.






50. Einstein's famous theory - relates gravity to the curvature of spacetime.