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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. You must always solve the equation set up in the previous step.






2. If a = b then a + c = b + c If a = b then a - c = b - c If a = b then a






3. 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.






4. 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.






5. 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.'






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






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






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






9. Means approximately equal.






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






11. 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.






12. If grouping symbols are nested






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






14. 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






15. This method can create a flat map from a curved surface while preserving all angles in any features present.






16. A flat map of hyperbolic space.






17. (a






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






19. 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.






20. Mathematical statement that equates two mathematical expressions.






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






22. 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






23. An important part of problem solving is identifying






24. 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






25. If a is any whole number - then a






26. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.






27. Does not change the solution set. That is - if a = b - then dividing both sides of the equation by c produces the equivalent equation a/c = b/c - provided c = 0.






28. 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.






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






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






31. Add and subtract






32. In the expression 3






33. Three is the common property of the group of sets containing three members. This idea is called '__________ -' which is a synonym for 'size.' The set {a -b -c} is a representative set of the cardinal number 3.






34. Are the fundamental building blocks of arithmetic.






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






36. 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






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






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






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






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






42. 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.






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






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

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






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






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






48. 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.






49. 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






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