Test your basic knowledge |

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. Add and subtract






2. 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






3. This means that for any two magnitudes - one should always be able to find a fundamental unit that fits some whole number of times into each of them (i.e. - a unit whose magnitude is a whole number factor of each of the original magnitudes)






4. All integers are thus divided into three classes:






5. 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






6. A






7. If a = b then






8. Index p radicand






9. Means approximately equal.






10. 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.






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






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






13. The system that Euclid used in The Elements






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






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






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






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






18. If a = b then






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






20. 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






21. 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.






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






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






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






25. 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.






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






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






28. 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






29. The amount of displacement - as measured from the still surface line.






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






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






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






33. If a = b then






34. 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.






35. Negative






36. 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.






37. A number is divisible by 2






38. Arise from the attempt to measure all quantities with a common unit of measure.






39. Multiplication is equivalent to






40. An important part of problem solving is identifying






41. The fundamental theorem of arithmetic says that






42. The answer to the question of why the primes occur where they do on the number line has eluded mathematicians for centuries. Gauss's Prime Number Theorem is perhaps one of the most famous attempts to find the 'pattern behind the primes.'






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






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






45. To describe and extend a numerical pattern






46. If we start with a number x and multiply by a number a - then dividing the result by the number a returns us to the original number x. In symbols - a






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






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






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