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






2. 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.






3. Perform all additions and subtractions in the order presented






4. 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






5. Says that when a random process - such as dropping marbles through a Galton board - is repeated many times - the frequencies of the observed outcomes get increasingly closer to the theoretical probabilities.






6. 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.






7. Also known as 'clock math -' incorporates 'wrap around' effects by having some number other than zero play the role of zero in addition - subtraction - multiplication - and division.






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






9. ____________ 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






10. Are the fundamental building blocks of arithmetic.






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






12. If a = b then






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






14. When writing mathematical statements - follow the mantra:






15. A number is divisible by 2






16. 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.






17. A · 1 = 1 · a = a






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






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






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






22. W = {0 - 1 - 2 - 3 - 4 - 5 - . . .} is called






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






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






25. Solving Equations






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






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






28. 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.






29. The inverse of multiplication






30. All integers are thus divided into three classes:






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






32. 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






33. Negative






34. A · b = b · a






35. (a · b) · c = a · (b · c)






36. 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






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






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






40. 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






41. Has no factors other than 1 and itself






42. Let a - b - and c be any whole numbers. Then - a






43. 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.






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






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

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46. This area of mathematics relates symmetry to whether or not an equation has a 'simple' solution.






47. 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






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






49. An arrangement where order matters.






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







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Can you answer 50 questions in 15 minutes?


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