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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. Negative






2. Means approximately equal.






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






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






5. A point in one dimension requires only one number to define it. The number line is a good example of a one-dimensional space.






6. 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






7. 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






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






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






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






11. 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






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


13. 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.






14. Has no factors other than 1 and itself






15. 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.






16. An arrangement where order matters.






17. Writing Mathematical equations - arrange your work one equation






18. 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






19. When comparing two whole numbers a and b - only one of three possibilities is true: a < b or a = b or a > b.






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






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






22. The solutions to this gambling dilemma is traditionally held to be the start of modern probability theory.






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






24. The study of shape from an external perspective.






25. This model is at the forefront of probability research. Mathematicians use it to model traffic patterns in an attempt to understand flow rates and gridlock - among other things.






26. 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.






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






28. The system that Euclid used in The Elements






29. If a = b then






30. The fundamental theorem of arithmetic says that






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






32. A flat map of hyperbolic space.






33. A · 1/a = 1/a · a = 1






34. A + b = b + a






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






36. Collection of objects. list all the objects in the set and enclosing the list in curly braces.






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






38. Topological objects are categorized by their _______ (number of holes). The genus of a surface is a feature of its global topology.






39. 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.






40. 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.






41. A · 1 = 1 · a = a






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






43. Requirements for Word Problem Solutions.






44. The expression a/b means






45. 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.






46. Add and subtract






47. Does not change the solution set. That is - if a = b - then dividing both sides of the equation by c produces the equivalent equation a/c = b/c - provided c = 0.






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






49. 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






50. 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.'