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






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






3. A + b = b + a






4. 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






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






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






7. If grouping symbols are nested






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






9. 4 more than a certain number is 12






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






11. A topological object that can be used to study the allowable states of a given system.






12. Of central importance in Ramsey Theory - and in combinatorics in general - is the 'pigeonhole principle -' also known as Dirichlet's box. This principle simply states that we cannot fit n+1 pigeons into n pigeonholes in such a way that only one pigeo






13. Multiplication is equivalent to






14. You must let your readers know what each variable in your problem represents. This can be accomplished in a number of ways: Statements such as 'Let P represent the perimeter of the rectangle.' - Labeling unknown values with variables in a table - Lab






15. ____________ 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






16. The solutions to this gambling dilemma is traditionally held to be the start of modern probability theory.






17. Because of the associate property of addition - when presented with a sum of three numbers - whether you start by adding the first two numbers or the last two numbers - the resulting sum is






18. The system that Euclid used in The Elements






19. × - ( )( ) - · - 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






20. Writing Mathematical equations - arrange your work one equation






21. 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.






22. 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.






23. 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.






24. A factor tree is a way to visualize a number's






25. If its final digit is a 0.






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






27. A + 0 = 0 + a = a






28. This important result says that every natural number greater than one can be expressed as a product of primes in exactly one way.






29. Index p radicand






30. To describe and extend a numerical pattern






31. 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.






32. 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.'






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






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






35. 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






36. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones






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






38. Perform all additions and subtractions in the order presented






39. 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.






40. Has no factors other than 1 and itself






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






42. A flat map of hyperbolic space.






43. 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






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






45. 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






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

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47. A way to measure how far away a given individual result is from the average result.






48. 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.






49. A graph in which every node is connected to every other node is called a complete graph.






50. Are the fundamental building blocks of arithmetic.