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






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






3. The system that Euclid used in The Elements






4. Are the fundamental building blocks of arithmetic.






5. If a represents any whole number - then a






6. If a is any whole number - then a






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. In this type of geometry the angles of a triangle add up to less than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits many parallel lines.






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






10. The state of appearing unchanged.






11. Requirements for Word Problem Solutions.






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






13. 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 -






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






15. If a = b then






16. 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).






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






18. 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






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






20. A · b = b · a






21. This result says that the symmetries of geometric objects can be expressed as groups of permutations.

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






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

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






25. An arrangement where order matters.






26. In a mathematical sense - it is a transformation that leaves an object invariant. Symmetry is perhaps most familiar as an artistic or aesthetic concept. Designs are said to be symmetric if they exhibit specific kinds of balance - repetition - and/or






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






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






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






30. A + b = b + a






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






32. 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






33. Does not change the solution set. That is - if a = b - then multiplying both sides of the equation by c produces the equivalent equation a






34. ____________ theory enables us to use mathematics to characterize and predict the behavior of random events. By 'random' we mean 'unpredictable' in the sense that in a given specific situation - our knowledge of current conditions gives us no way to






35. A graph in which every node is connected to every other node is called a complete graph.






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






37. A number is divisible by 2






38. 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






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






40. 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






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






42. If its final digit is a 0.






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






44. 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.






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






46. 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.'






47. To describe and extend a numerical pattern






48. 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.'






49. An equation is a numerical value that satisfies the equation. That is - when the variable in the equation is replaced by the solution - a true statement results.






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