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






2. 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.






3. 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.






4. Solving Equations






5. 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






6. If the sum of its digits is divisible by 3 (ex: 3591 is divisible by 3 since 3 + 5 + 9 + 1 = 18 is divisible by 3).






7. 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






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






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






10. Add and subtract






11. The inverse of multiplication






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






13. Originally known as analysis situs






14. A · 1/a = 1/a · a = 1






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






16. A · 1 = 1 · a = a






17. (a + b) + c = a + (b + c)






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






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






20. This area of mathematics relates symmetry to whether or not an equation has a 'simple' solution.






21. When writing mathematical statements - follow the mantra:






22. An instrument's _____ - the sound it produces - is a complex mixture of waves of different frequencies.






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






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






26. 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.






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






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






29. 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






30. 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






31. 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






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






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






34. If a represents any whole number - then a






35. 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).






36. Multiplication is equivalent to






37. A






38. If a is any whole number - then a






39. 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






40. 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






41. 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






42. Let a - b - and c represent whole numbers. Then - (a + b) + c = a + (b + c).






43. Means approximately equal.






44. 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.






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






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






47. 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)






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






49. An important part of problem solving is identifying






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