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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. (a · b) · c = a · (b · c)






2. 4 more than a certain number is 12






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






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






5. The amount of displacement - as measured from the still surface line.






6. 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.






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






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






9. In the expression 3






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






11. 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






12. 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.






13. 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 -






14. 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






15. A · 1/a = 1/a · a = 1






16. The state of appearing unchanged.






17. 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.






18. (a






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






20. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.






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






22. Determines the likelihood of events that are not independent of one another.






23. 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






24. Negative






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






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






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






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






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






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






31. × - ( )( ) - · - 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






32. A number is divisible by 2






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






34. If a = b then






35. 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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36. 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






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






38. 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.






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






40. 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.






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






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






43. 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






44. Are the fundamental building blocks of arithmetic.






45. The system that Euclid used in The Elements






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






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






48. If a = b then






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






50. 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.