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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. 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






2. To describe and extend a numerical pattern






3. Negative






4. A






5. In the expression 3






6. W = {0 - 1 - 2 - 3 - 4 - 5 - . . .} is called






7. Mathematical statement that equates two mathematical expressions.






8. 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.






9. 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.






10. A topological object that can be used to study the allowable states of a given system.






11. 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






12. A number is divisible by 2






13. Also known as 'clock math -' incorporates 'wrap around' effects by having some number other than zero play the role of zero in addition - subtraction - multiplication - and division.






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






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






16. 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.






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






18. 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.






19. 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.






20. 1. Find the prime factorizations of each number.






21. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones






22. A + 0 = 0 + a = a






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






24. 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.






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






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






27. If we start with a number x and subtract a number a - then adding a to the result will return us to the original number x. In symbols - x - a + a = x. So -






28. The expression a/b means






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






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






32. You must let your readers know what each variable in your problem represents. This can be accomplished in a number of ways: Statements such as 'Let P represent the perimeter of the rectangle.' - Labeling unknown values with variables in a table - Lab






33. 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.






34. If a = b then






35. 4 more than a certain number is 12






36. 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.






37. An arrangement where order matters.






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






39. If a = b then






40. Multiplication is equivalent to






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






42. When comparing two whole numbers a and b - only one of three possibilities is true: a < b or a = b or a > b.






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






44. A · 1/a = 1/a · a = 1






45. Index p radicand






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






47. Let a and b be whole numbers. Then a is _______________ by b if and only if the remainder is zero when a is divided by b. In this case - we say that 'b is a divisor of a.'






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

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






50. 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