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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. If we start with a number x and subtract a number a - then adding a to the result will return us to the original number x. In symbols - x - a + a = x. So -






2. 4 more than a certain number is 12






3. An arrangement where order matters.






4. A + b = b + a






5. A flat map of hyperbolic space.






6. A(b + c) = a · b + a · c a(b - c) = a · b - a · c






7. Are the fundamental building blocks of arithmetic.






8. 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






9. Add and subtract






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






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






12. If a = b then






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






14. A · b = b · a






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






16. 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






17. A · 1/a = 1/a · a = 1






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






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






20. You must let your readers know what each variable in your problem represents. This can be accomplished in a number of ways: Statements such as 'Let P represent the perimeter of the rectangle.' - Labeling unknown values with variables in a table - Lab






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






22. The expression a/b means






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






24. 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.






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






26. 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)






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






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






29. 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






30. A






31. Writing Mathematical equations - arrange your work one equation






32. 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






33. Positive integers are






34. The inverse of multiplication






35. 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.






36. 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).






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






38. In the expression 3






39. The state of appearing unchanged.






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






41. Negative






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






43. Means approximately equal.






44. Some favor repeatedly dividing by 2 until the result is no longer divisible by 2. Then try repeatedly dividing by the next prime until the result is no longer divisible by that prime. The process terminates when the last resulting quotient is equal t






45. If a = b then






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






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






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






49. Because of the associate property of addition - when presented with a sum of three numbers - whether you start by adding the first two numbers or the last two numbers - the resulting sum is






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