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






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






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






4. A + b = b + a






5. When writing mathematical statements - follow the mantra:






6. 1. Find the prime factorizations of each number.






7. 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.






8. A point in one dimension requires only one number to define it. The number line is a good example of a one-dimensional space.






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






10. Has no factors other than 1 and itself






11. In this type of geometry the angles of a triangle add up to more than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits no parallel lines as well as modify Euclid's first two postulates.






12. Aka The Osculating Circle - a way to measure the curvature of a line.






13. 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.






14. 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






15. A · 1/a = 1/a · a = 1






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






17. Are the fundamental building blocks of arithmetic.






18. (a · b) · c = a · (b · c)






19. 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.'






20. W = {0 - 1 - 2 - 3 - 4 - 5 - . . .} is called






21. The expression a/b means






22. If a represents any whole number - then a






23. All integers are thus divided into three classes:






24. The state of appearing unchanged.






25. If its final digit is a 0.






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






27. We can think of the space between primes as 'prime deserts -' strings of consecutive numbers - none of which are prime.






28. Mathematical statement that equates two mathematical expressions.






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






30. A · b = b · a






31. 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.






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






33. 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.






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






35. 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






36. If a = b then






37. An important part of problem solving is identifying






38. 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






39. 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






40. If a = b then






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






42. Negative






43. 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






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






45. Solving Equations






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






47. The fundamental theorem of arithmetic says that






48. 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.






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






50. If a is any whole number - then a