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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. This important result says that every natural number greater than one can be expressed as a product of primes in exactly one way.






2. A flat map of hyperbolic space.






3. An arrangement where order matters.






4. A · b = b · a






5. 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






6. 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






7. A way to extrinsically measure the curvature of a surface by looking at a given point and finding the contour line with the greatest curvature and the contour line with the least curvature.






8. This result says that the symmetries of geometric objects can be expressed as groups of permutations.


9. Also known as gluing diagrams - are a convenient way to examine intrinsic topology.






10. Negative






11. 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.






12. Three is the common property of the group of sets containing three members. This idea is called '__________ -' which is a synonym for 'size.' The set {a -b -c} is a representative set of the cardinal number 3.






13. 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.






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






15. 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.






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






17. 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.






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






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






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






21. A number is divisible by 2






22. 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






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






24. The study of shape from an external perspective.






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






26. The surface of a standard 'donut shape'.






27. The inverse of multiplication






28. All integers are thus divided into three classes:






29. 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






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






31. Writing Mathematical equations - arrange your work one equation






32. To describe and extend a numerical pattern






33. If a - b - and c are any whole numbers - then a






34. When comparing two whole numbers a and b - only one of three possibilities is true: a < b or a = b or a > b.






35. 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.






36. 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.






37. If a is any whole number - then a






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






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






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






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






43. A whole number (other than 1) is a _____________ if its only factors (divisors) are 1 and itself. Equivalently - a number is prime if and only if it has exactly two factors (divisors).






44. 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.






45. 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.'






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






47. Is a path that visits every node in a graph and ends where it began.






48. In a mathematical sense - it is a transformation that leaves an object invariant. Symmetry is perhaps most familiar as an artistic or aesthetic concept. Designs are said to be symmetric if they exhibit specific kinds of balance - repetition - and/or






49. 1. Find the prime factorizations of each number. To find the prime factorization one method is a factor tree where you begin with any two factors and proceed by dividing the numbers until all the ends are prime factors. 2. Star factors which are shar






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