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






2. The system that Euclid used in The Elements






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






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






5. If a = b then






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






7. Positive integers are






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






9. The study of shape from the perspective of being on the surface of the shape.






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






11. Every whole number can be uniquely factored as a product of primes. This result guarantees that if the prime factors are ordered from smallest to largest - everyone will get the same result when breaking a number into a product of prime factors.






12. 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.






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






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






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






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






17. 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






18. 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.






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






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






21. If the sum of its digits is divisible by 9 (ex: 3591 is divisible by 9 since 3 + 5 + 9 + 1 = 18 is divisible by 9).






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






23. 4 more than a certain number is 12






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






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






26. 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 -






27. If a = b then






28. A(b + c) = a · b + a · c a(b - c) = a · b - a · c






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






30. If grouping symbols are nested






31. Writing Mathematical equations - arrange your work one equation






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






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






34. Mathematical statement that equates two mathematical expressions.






35. If a represents any whole number - then a






36. 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.






37. A · 1/a = 1/a · a = 1






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






39. 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.






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






41. TA model of a sequence of random events. Each marble that passes through the system represents a trial consisting of as many random events as there are rows in the system.






42. If a = b then






43. A






44. 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.'






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






46. Arise from the attempt to measure all quantities with a common unit of measure.






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






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






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






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