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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. In any ratio of two whole numbers - expressed as a fraction - we can interpret the first (top) number to be the 'counter -' or numerator






2. Some favor repeatedly dividing by 2 until the result is no longer divisible by 2. Then try repeatedly dividing by the next prime until the result is no longer divisible by that prime. The process terminates when the last resulting quotient is equal t






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






4. The study of shape from an external perspective.






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






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






7. A whole number (other than 1) is a _____________ if its only factors (divisors) are 1 and itself. Equivalently - a number is prime if and only if it has exactly two factors (divisors).






8. 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).






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






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






11. A + 0 = 0 + a = a






12. 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






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






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






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






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






18. 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)






19. A(b + c) = a · b + a · c a(b - c) = a · b - a · c






20. You must always solve the equation set up in the previous step.






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

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






23. If a represents any whole number - then a






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






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






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

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27. Negative






28. If the sum of its digits is divisible by 3 (ex: 3591 is divisible by 3 since 3 + 5 + 9 + 1 = 18 is divisible by 3).






29. 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.






30. 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






31. If a = b then






32. Add and subtract






33. 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






34. Perform all additions and subtractions in the order presented






35. 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.






36. 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.






37. When writing mathematical statements - follow the mantra:






38. Solving Equations






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






40. 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.'






41. Writing Mathematical equations - arrange your work one equation






42. A flat map of hyperbolic space.






43. 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 -






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






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






46. 4 more than a certain number is 12






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






48. 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.






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






50. × - ( )( ) - · - 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