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. The expression a/b means






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






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






4. 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.






5. If a represents any whole number - then a






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






7. The solutions to this gambling dilemma is traditionally held to be the start of modern probability theory.






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






9. A factor tree is a way to visualize a number's






10. 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.






11. A point in four-space - also known as 4-D space - requires four numbers to fix its position. Four-space has a fourth independent direction - described by 'ana' and 'kata.'






12. 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






13. Dimension is how mathematicians express the idea of degrees of freedom






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. 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






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






17. 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.






18. At each level of the tree - break the current number into a product of two factors. The process is complete when all of the 'circled leaves' at the bottom of the tree are prime numbers. Arranging the factors in the 'circled leaves' in order. The fina






19. A flat map of hyperbolic space.






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






21. 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 -






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






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






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






25. The system that Euclid used in The Elements






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






27. 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.






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






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






30. 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.






31. 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






32. An arrangement where order matters.






33. 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.






34. 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


35. 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.






36. 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






37. A · 1 = 1 · a = a






38. Index p radicand






39. A · b = b · a






40. 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.






41. The study of shape from an external perspective.






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






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






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






45. ____________ theory enables us to use mathematics to characterize and predict the behavior of random events. By 'random' we mean 'unpredictable' in the sense that in a given specific situation - our knowledge of current conditions gives us no way to






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






47. 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 -






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






49. If a = b then






50. 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).