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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 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.






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






3. 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.






4. 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






5. 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 -






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






8. A point in four-space - also known as 4-D space - requires four numbers to fix its position. Four-space has a fourth independent direction - described by 'ana' and 'kata.'






9. 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.






10. The expression a/b means






11. 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.






12. The state of appearing unchanged.






13. 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.






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






15. A flat map of hyperbolic space.






16. Uses second derivatives to relate acceleration in space to acceleration in time.






17. 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).






18. (a · b) · c = a · (b · c)






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






20. Reveals why we tend to find structure in seemingly random sets. Ramsey numbers indicate how big a set must be to guarantee the existence of certain minimal structures.






21. 4 more than a certain number is 12






22. If a = b then






23. 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






24. 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






25. Used to display measurements. The measurement was taken is placed on the horizontal axis - and the height of each bar equals the amount during that year.






26. 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.






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






28. An important part of problem solving is identifying






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






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






31. 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.






32. The expression a^m means a multiplied by itself m times. The number a is called the base of the exponential expression and the number m is called the exponent. The exponent m tells us to repeat the base a as a factor m times.






33. Means approximately equal.






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






35. 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 -






36. Are the fundamental building blocks of arithmetic.






37. If a is any whole number - then a






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






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






40. Is the shortest string that contains all possible permutations of a particular length from a given set.






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

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






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






44. If grouping symbols are nested






45. 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






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






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






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






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






50. Division by zero is undefined. Each of the expressions 6







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Can you answer 50 questions in 15 minutes?


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