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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. The study of shape from an external perspective.






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






3. Add and subtract






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






5. 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.






6. (a · b) · c = a · (b · c)






7. Requirements for Word Problem Solutions.






8. Negative






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






10. A topological object that can be used to study the allowable states of a given system.






11. 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.






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






13. 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






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






15. The multitude concept presented numbers as collections of discrete units - rather like indivisible atoms.






16. Perform all additions and subtractions in the order presented






17. Has no factors other than 1 and itself






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






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






20. 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 -






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






22. The four-dimensional analog of the cube - square - and line segment. A hypercube is formed by taking a 3-D cube - pushing a copy of it into the fourth dimension - and connecting it with cubes. Envisioning this object in lower dimensions requires that






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






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






25. The system that Euclid used in The Elements






26. It is important to note that this step does not imply that you should simply check your solution in your equation. After all - it's possible that your equation incorrectly models the problem's situation - so you could have a valid solution to an inco






27. This result says that the symmetries of geometric objects can be expressed as groups of permutations.

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






29. If a = b then






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






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






32. 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






33. 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.






34. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones






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






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






37. If a = b then






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






39. To describe and extend a numerical pattern






40. 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






41. An important part of problem solving is identifying






42. ____________ 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






43. The expression a/b means






44. When comparing two whole numbers a and b - only one of three possibilities is true: a < b or a = b or a > b.






45. A way to analyze sequences of events where the outcomes of prior events affect the probability of outcomes of subsequent events.






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






47. The fundamental theorem of arithmetic says that






48. Means approximately equal.






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






50. 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.'