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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. Two equations if they have the same solution set.






2. Add and subtract






3. 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.






4. GThe mathematical study of space. The geometry of a space goes hand in hand with how one defines the shortest distance between two points in that space.






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






6. This result relates conserved physical quantities - like conservation of energy - to continuous symmetries of spacetime.

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7. Determines the likelihood of events that are not independent of one another.






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. The study of shape from an external perspective.






10. 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.






11. 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.






12. 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






13. A + 0 = 0 + a = a






14. 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.






15. Mathematical statement that equates two mathematical expressions.






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

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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. A + b = b + a






19. 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






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






21. (a






22. A number is divisible by 2






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






24. If a represents any whole number - then a






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






26. Solving Equations






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






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






29. A






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






31. 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






32. Reveals why we tend to find structure in seemingly random sets. Ramsey numbers indicate how big a set must be to guarantee the existence of certain minimal structures.






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






34. 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






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






36. 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.






37. The fundamental theorem of arithmetic says that






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






39. Index p radicand






40. The identification of a 'one-to-one' correspondence--enables us to enumerate a set that may be difficult to count in terms of another set that is more easily counted.






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






42. If grouping symbols are nested






43. To describe and extend a numerical pattern






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






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. 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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47. (a · b) · c = a · (b · c)






48. N = {1 - 2 - 3 - 4 - 5 - . . .}.






49. If its final digit is a 0.






50. 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).