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






3. An important part of problem solving is identifying






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






5. The inverse of multiplication






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






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






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






9. If we start with a number x and subtract a number a - then adding a to the result will return us to the original number x. In symbols - x - a + a = x. So -






10. The expression a^m means a multiplied by itself m times. The number a is called the base of the exponential expression and the number m is called the exponent. The exponent m tells us to repeat the base a as a factor m times.






11. A graph in which every node is connected to every other node is called a complete graph.






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






13. If grouping symbols are nested






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






15. Solving Equations






16. If a = b then






17. 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.






18. 1. Any two points can be joined by a straight line. 2. Any straight line segment can be extended indefinitely in a straight line. 3. Given any straight line segment - a circle can be drawn having the segment as radius and one endpoint as center. 4. A

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






20. Originally known as analysis situs






21. Also known as 'clock math -' incorporates 'wrap around' effects by having some number other than zero play the role of zero in addition - subtraction - multiplication - and division.






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






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






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






25. The system that Euclid used in The Elements






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






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






28. Add and subtract






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






30. 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.






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






32. Perform all additions and subtractions in the order presented






33. A + 0 = 0 + a = a






34. 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.






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






36. 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.






37. All integers are thus divided into three classes:






38. A + b = b + a






39. Cantor called the cardinality of all the sets that can be put into one-to-one correspondence with the counting numbers - or 'Aleph Null.'






40. Requirements for Word Problem Solutions.






41. (a · b) · c = a · (b · c)






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






43. 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.






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






45. An equation is a numerical value that satisfies the equation. That is - when the variable in the equation is replaced by the solution - a true statement results.






46. Mathematical statement that equates two mathematical expressions.






47. Are the fundamental building blocks of arithmetic.






48. 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).






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






50. If its final digit is a 0.







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