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

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






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






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






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






6. 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






7. An object possessing continuous symmetries can remain invariant while one symmetry is turned into another. A circle is an example of an object with continuous symmetries.






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






9. 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).






10. The system that Euclid used in The Elements






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






12. Negative






13. When writing mathematical statements - follow the mantra:






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






15. 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






16. 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.






17. 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






18. A · b = b · a






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






20. 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.






21. This famous - as yet unproven - result relates to the distribution of prime numbers on the number line.






22. The expression a/b means






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






24. 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.






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. Are the fundamental building blocks of arithmetic.






27. 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.






28. Index p radicand






29. If its final digit is a 0.






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






31. A number is divisible by 2






32. 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.






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






34. Requirements for Word Problem Solutions.






35. If grouping symbols are nested






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






37. A + 0 = 0 + a = a






38. The study of shape from an external perspective.






39. Let a and b represent two whole numbers. Then - a + b = b + a.






40. Cantor called the cardinality of all the sets that can be put into one-to-one correspondence with the counting numbers - or 'Aleph Null.'






41. Is the length around an object. Used to calculate such things as fencing around a yard - trimming a piece of material - and the amount of baseboard needed for a room.It is not necessary to have a formula since it is always just calculated by adding t






42. 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.






43. An important part of problem solving is identifying






44. 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






45. Collection of objects. list all the objects in the set and enclosing the list in curly braces.






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






47. 4 more than a certain number is 12






48. A · 1/a = 1/a · a = 1






49. This model is at the forefront of probability research. Mathematicians use it to model traffic patterns in an attempt to understand flow rates and gridlock - among other things.






50. Add and subtract







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