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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. 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.






2. 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).






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






4. 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






5. 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.'






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






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






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






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






10. 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.






11. If we start with a number x and multiply by a number a - then dividing the result by the number a returns us to the original number x. In symbols - a






12. 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.'






13. If a is any whole number - then a






14. Means approximately equal.






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






16. Adding the same quantity to both sides of an equation - if a = b - then adding c to both sides of the equation produces the equivalent equation a + c = b + c.






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






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






19. Uses second derivatives to relate acceleration in space to acceleration in time.






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






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






22. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones






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






24. Because of the associate property of addition - when presented with a sum of three numbers - whether you start by adding the first two numbers or the last two numbers - the resulting sum is






25. Some favor repeatedly dividing by 2 until the result is no longer divisible by 2. Then try repeatedly dividing by the next prime until the result is no longer divisible by that prime. The process terminates when the last resulting quotient is equal t






26. The study of shape from an external perspective.






27. To describe and extend a numerical pattern






28. 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.






29. This result relates conserved physical quantities - like conservation of energy - to continuous symmetries of spacetime.

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30. 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






31. The state of appearing unchanged.






32. 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






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






34. If a = b then






35. Mathematical statement that equates two mathematical expressions.






36. A number is divisible by 2






37. 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.






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






39. 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.






40. A + b = b + a






41. The system that Euclid used in The Elements






42. A group is just a collection of objects (i.e. - elements in a set) that obey a few rules when combined or composed by an operation. In order for a set to be considered a group under a certain operation - each element must have an inverse - the set mu






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






44. GThe mathematical study of space. The geometry of a space goes hand in hand with how one defines the shortest distance between two points in that space.






45. Negative






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






47. When writing mathematical statements - follow the mantra:






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






49. Perform all additions and subtractions in the order presented






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