Test your basic knowledge |

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. An algebraic 'sentence' containing an unknown quantity.






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






3. Let a - b - and c be any whole numbers. Then - a






4. Mathematical statement that equates two mathematical expressions.






5. 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.






6. A · 1 = 1 · a = a






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






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






9. The study of shape from an external perspective.






10. 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.'






11. If a = b then






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






13. 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.






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






15. All integers are thus divided into three classes:






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






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






18. The state of appearing unchanged.






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






20. 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






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






22. A






23. When writing mathematical statements - follow the mantra:






24. 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).






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






26. A flat map of hyperbolic space.






27. To describe and extend a numerical pattern






28. Of central importance in Ramsey Theory - and in combinatorics in general - is the 'pigeonhole principle -' also known as Dirichlet's box. This principle simply states that we cannot fit n+1 pigeons into n pigeonholes in such a way that only one pigeo






29. If a represents any whole number - then a






30. 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.






31. 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






32. 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






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






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






35. Does not change the solution set. That is - if a = b - then dividing both sides of the equation by c produces the equivalent equation a/c = b/c - provided c = 0.






36. 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






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






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






39. 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.






40. Non-Euclidean geometries abide by some - but not all of Euclid's five postulates.






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






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






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






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






45. Add and subtract






46. Index p radicand






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






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

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183


49. A '___________' infinite set is one that can be put into one-to-one correspondence with the set of natural numbers.






50. In this type of geometry the angles of a triangle add up to less than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits many parallel lines.