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






2. 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






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






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






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






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






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. Objects are topologically equivalent if they can be continuously deformed into one another. Properties that are preserved during this process are called topological invariants.






9. The cardinality of sets that cannot be put into one-to-one correspondence with the counting numbers - such as the set of real numbers - is referred to as c. The designations A_0 and c are known as 'transfinite' cardinalities.






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






11. A · b = b · a






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






13. Assuming that the air is of uniform density and pressure to begin with - a region of high pressure will be balanced by a region of low pressure - called rarefaction - immediately following the compression






14. 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.






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






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






17. 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.






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






19. 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.






20. 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 -






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






22. An important part of problem solving is identifying






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






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






25. If a is any whole number - then a






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






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






28. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.






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. 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






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






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






33. A number is divisible by 2






34. This means that for any two magnitudes - one should always be able to find a fundamental unit that fits some whole number of times into each of them (i.e. - a unit whose magnitude is a whole number factor of each of the original magnitudes)






35. 1. Parentheses (or any grouping symbol {braces} - [square brackets] - |absolute value|)

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


36. × - ( )( ) - · - 1. Multiply the numbers (ignoring the signs)2. The answer is positive if they have the same signs. 3. The answer is negative if they have different signs. 4. Alternatively - count the amount of negative numbers. If there are an even






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






38. To describe and extend a numerical pattern






39. Every solution to a word problem must include a carefully crafted equation that accurately describes the constraints in the problem statement.






40. 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.






41. A way to measure how far away a given individual result is from the average result.






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






43. Two equations if they have the same solution set.






44. Index p radicand






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






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






47. A + 0 = 0 + a = a






48. If a = b then






49. 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






50. The study of shape from an external perspective.