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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. 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).






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






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






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






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






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






7. Negative






8. A number is divisible by 2






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






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






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






13. 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.






14. A · 1/a = 1/a · a = 1






15. 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.'






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






17. An important part of problem solving is identifying






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






19. Positive integers are






20. 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






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






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






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






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






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


27. Aka The Osculating Circle - a way to measure the curvature of a line.






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






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


30. Means approximately equal.






31. 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.






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






33. 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






34. 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.






35. 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






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






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






38. A point in three-dimensional space requires three numbers to fix its location.






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






40. The process of taking a complicated signal and breaking it into sine and cosine components.






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






42. 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






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






44. Mathematical statement that equates two mathematical expressions.






45. The cardinality of sets that cannot be put into one-to-one correspondence with the counting numbers - such as the set of real numbers - is referred to as c. The designations A_0 and c are known as 'transfinite' cardinalities.






46. ____________ theory enables us to use mathematics to characterize and predict the behavior of random events. By 'random' we mean 'unpredictable' in the sense that in a given specific situation - our knowledge of current conditions gives us no way to






47. 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






48. Codifies the 'average behavior' of a random event and is a key concept in the application of probability.






49. 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.






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