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






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






3. (a · b) · c = a · (b · c)






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






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






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






7. Requirements for Word Problem Solutions.






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






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






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






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






12. Are the fundamental building blocks of arithmetic.






13. An important part of problem solving is identifying






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






15. Means approximately equal.






16. Used to display measurements. The measurement was taken is placed on the horizontal axis - and the height of each bar equals the amount during that year.






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






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






19. 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






20. 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).






21. A point in four-space - also known as 4-D space - requires four numbers to fix its position. Four-space has a fourth independent direction - described by 'ana' and 'kata.'






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

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23. The expression a/b means






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






25. Writing Mathematical equations - arrange your work one equation






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






27. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.






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






29. 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.






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






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






32. Mathematical statement that equates two mathematical expressions.






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






34. 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.






35. Has no factors other than 1 and itself






36. Multiplication is equivalent to






37. A + (-a) = (-a) + a = 0






38. Originally known as analysis situs






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






40. Perform all additions and subtractions in the order presented






41. 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)






42. A · 1/a = 1/a · a = 1






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






44. If a = b then






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






46. Add and subtract






47. 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.






48. If a = b then






49. To describe and extend a numerical pattern






50. 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.