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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 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






2. A + b = b + a






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






4. The inverse of multiplication






5. 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






6. A number is divisible by 2






7. Cantor called the cardinality of all the sets that can be put into one-to-one correspondence with the counting numbers - or 'Aleph Null.'






8. The state of appearing unchanged.






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






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






11. A






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






13. The fundamental theorem of arithmetic says that






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






15. Means approximately equal.






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






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






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






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

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






21. (a






22. Requirements for Word Problem Solutions.






23. 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.






24. TA model of a sequence of random events. Each marble that passes through the system represents a trial consisting of as many random events as there are rows in the system.






25. To describe and extend a numerical pattern






26. 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.






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






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






29. Index p radicand






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






31. If its final digit is a 0 or 5.






32. The expression a^m means a multiplied by itself m times. The number a is called the base of the exponential expression and the number m is called the exponent. The exponent m tells us to repeat the base a as a factor m times.






33. 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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34. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.






35. If a = b then






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






37. The distribution of averages of many trials is always normal - even if the distribution of each trial is not.






38. Solving Equations






39. 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






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






41. If a represents any whole number - then a






42. 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).






43. A + 0 = 0 + a = a






44. 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






45. 1. Find the prime factorizations of each number. To find the prime factorization one method is a factor tree where you begin with any two factors and proceed by dividing the numbers until all the ends are prime factors. 2. Star factors which are shar






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






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






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






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






50. 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