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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. Index p radicand






2. 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.






3. Multiplication is equivalent to






4. Mathematical statement that equates two mathematical expressions.






5. A number is divisible by 2






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

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7. 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






8. The inverse of multiplication






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






10. 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.






11. 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.






12. Breaks a complicated signal into a combination of simple sine waves. Fourier synthesis does the opposite - constructing a complicated signal from simple sine waves.






13. 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)






14. A · b = b · a






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






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






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






18. 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






19. Negative






20. A






21. 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.






22. Solving Equations






23. A sphere can be thought of as a stack of circular discs of increasing - then decreasing - radii. The process of slicing is one way to visualize higher-dimensional objects via level curves and surfaces. A hypersphere can be thought of as a 'stack' of






24. If a = b then






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






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






27. If a represents any whole number - then a






28. In the expression 3






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






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






31. The state of appearing unchanged.






32. If a = b then






33. Does not change the solution set. That is - if a = b - then multiplying both sides of the equation by c produces the equivalent equation a






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






35. The expression a/b means






36. 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






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






38. If a = b then






39. An important part of problem solving is identifying






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






41. 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






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






43. The fundamental theorem of arithmetic says that






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






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






46. Originally known as analysis situs






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






48. × - ( )( ) - · - 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






49. Determines the likelihood of events that are not independent of one another.






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







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