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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. If on a surface there is no meaningful way to tell an object's orientation (left or right handedness) - the surface is said to be non-orientable.






2. The state of appearing unchanged.






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






4. If a represents any whole number - then a






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






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

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7. A · b = b · a






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






9. 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)






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






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






12. 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.'






13. 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






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






15. 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).






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






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






18. The study of shape from the perspective of being on the surface of the shape.






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






20. Means approximately equal.






21. Negative






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






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






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






25. If a = b then






26. 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






27. Requirements for Word Problem Solutions.






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






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






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






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

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32. (a · b) · c = a · (b · c)






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






34. 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.






35. In the expression 3






36. An algebraic 'sentence' containing an unknown quantity.






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






38. Solving Equations






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






40. 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.






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






42. If a whole number is not a prime number - then it is called a...






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






44. A flat map of hyperbolic space.






45. The cardinality of sets that cannot be put into one-to-one correspondence with the counting numbers - such as the set of real numbers - is referred to as c. The designations A_0 and c are known as 'transfinite' cardinalities.






46. × - ( )( ) - · - 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






47. 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






48. 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 -






49. 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.






50. Has no factors other than 1 and itself