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






2. 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.






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






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






5. A flat map of hyperbolic space.






6. 4 more than a certain number is 12






7. The expression a/b means






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






9. Cannot be written as a ratio of natural numbers.






10. If a = b then






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






13. 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.






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






15. Has no factors other than 1 and itself






16. 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






17. An arrangement where order matters.






18. It is important to note that this step does not imply that you should simply check your solution in your equation. After all - it's possible that your equation incorrectly models the problem's situation - so you could have a valid solution to an inco






19. Multiplication is equivalent to






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






21. 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.






22. A group is just a collection of objects (i.e. - elements in a set) that obey a few rules when combined or composed by an operation. In order for a set to be considered a group under a certain operation - each element must have an inverse - the set mu






23. Every solution to a word problem must include a carefully crafted equation that accurately describes the constraints in the problem statement.






24. Two equations if they have the same solution set.






25. The study of shape from an external perspective.






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






27. 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).






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






29. If a = b then






30. Breaks a complicated signal into a combination of simple sine waves. Fourier synthesis does the opposite - constructing a complicated signal from simple sine waves.






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


32. Perform all additions and subtractions in the order presented






33. In any ratio of two whole numbers - expressed as a fraction - we can interpret the first (top) number to be the 'counter -' or numerator






34. A






35. 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)






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






37. A number is divisible by 2






38. A · 1/a = 1/a · a = 1






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






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






41. Use parentheses - brackets - or curly braces to delimit the part of an expression you want evaluated first.






42. 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.






43. Writing Mathematical equations - arrange your work one equation






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






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






46. The inverse of multiplication






47. 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.






48. A · 1 = 1 · a = a






49. If we start with a number x and add a number a - then subtracting a from the result will return us to the original number x. x + a - a = x. so -






50. Negative