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






2. 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.






3. An arrangement where order matters.






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






5. Add and subtract






6. 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






7. In the expression 3






8. Determines the likelihood of events that are not independent of one another.






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






10. A






11. If a = b then






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






13. Every solution to a word problem must include a carefully crafted equation that accurately describes the constraints in the problem statement.






14. 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.






15. 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).






16. If a is any whole number - then a






17. The expression a/b means






18. We can think of the space between primes as 'prime deserts -' strings of consecutive numbers - none of which are prime.






19. 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.






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






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






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






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






24. 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






25. ____________ 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






26. If a = b then






27. Our standard notions of Pythagorean distance and angle via the inner product extend quite nicely from three-space.






28. 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.






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






30. 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






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






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






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

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






36. 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 -






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

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38. This result relates conserved physical quantities - like conservation of energy - to continuous symmetries of spacetime.

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39. Perform all additions and subtractions in the order presented






40. 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).






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






42. Has no factors other than 1 and itself






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






44. Aka The Osculating Circle - a way to measure the curvature of a line.






45. A · 1 = 1 · a = a






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






47. Originally known as analysis situs






48. Original Balance minus River Tam's Withdrawal is Current Balance






49. If a = b then






50. 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).