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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. Assuming that the air is of uniform density and pressure to begin with - a region of high pressure will be balanced by a region of low pressure - called rarefaction - immediately following the compression






2. A · 1 = 1 · a = a






3. A + b = b + a






4. 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.






5. If a = b then






6. If a = b then






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






8. 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.






9. A flat map of hyperbolic space.






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






11. If a = b then






12. Solving Equations






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






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






15. If a is any whole number - then a






16. Objects are topologically equivalent if they can be continuously deformed into one another. Properties that are preserved during this process are called topological invariants.






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






18. A






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






20. A + 0 = 0 + a = a






21. 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.






22. 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






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






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






25. 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.






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






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






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






29. An important part of problem solving is identifying






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






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

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






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






34. Perform all additions and subtractions in the order presented






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






36. 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).






37. Whether or not we hear waves as sound has everything to do with their _____________ - or how many times every second the molecules switch from compression to rarefaction and back to compression again - and their intensity - or how much the air is com






38. Cannot be written as a ratio of natural numbers.






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






40. (a






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






42. An equation is a numerical value that satisfies the equation. That is - when the variable in the equation is replaced by the solution - a true statement results.






43. 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






44. All integers are thus divided into three classes:






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






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






47. An instrument's _____ - the sound it produces - is a complex mixture of waves of different frequencies.






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






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






50. 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







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