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






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






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






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

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5. The state of appearing unchanged.






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






7. Arise from the attempt to measure all quantities with a common unit of measure.






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






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






10. (a






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






12. Is the shortest string that contains all possible permutations of a particular length from a given set.






13. A · b = b · a






14. Multiplication is equivalent to






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






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






17. A number is divisible by 2






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






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. When writing mathematical statements - follow the mantra:






21. 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.






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






23. Negative






24. 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.






25. 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






26. In the expression 3






27. A + 0 = 0 + a = a






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






29. 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.'






30. 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






31. The system that Euclid used in The Elements






32. Breaks a complicated signal into a combination of simple sine waves. Fourier synthesis does the opposite - constructing a complicated signal from simple sine waves.






33. If we start with a number x and add a number a - then subtracting a from the result will return us to the original number x. x + a - a = x. so -






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






35. (a · b) · c = a · (b · c)






36. A · 1/a = 1/a · a = 1






37. 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.






38. 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).






39. Perform all additions and subtractions in the order presented






40. Are the fundamental building blocks of arithmetic.






41. To describe and extend a numerical pattern






42. 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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43. The inverse of multiplication






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






45. The study of shape from an external perspective.






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

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47. Index p radicand






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






49. 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






50. 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.