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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. Three is the common property of the group of sets containing three members. This idea is called '__________ -' which is a synonym for 'size.' The set {a -b -c} is a representative set of the cardinal number 3.






2. All integers are thus divided into three classes:






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






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






5. When writing mathematical statements - follow the mantra:






6. Means approximately equal.






7. The amount of displacement - as measured from the still surface line.






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






9. If a and b are any whole numbers - then a






10. If grouping symbols are nested






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






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






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






14. 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






15. 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






16. 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.






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






18. If its final digit is a 0.






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






20. A · 1/a = 1/a · a = 1






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






22. If a is any whole number - then a






23. Division by zero is undefined. Each of the expressions 6






24. The state of appearing unchanged.






25. 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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26. 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.'






27. A way to extrinsically measure the curvature of a surface by looking at a given point and finding the contour line with the greatest curvature and the contour line with the least curvature.






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






29. To describe and extend a numerical pattern






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






31. 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.






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






33. 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.'






34. In the expression 3






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






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






37. 4 more than a certain number is 12






38. A · 1 = 1 · a = a






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






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






41. Use parentheses - brackets - or curly braces to delimit the part of an expression you want evaluated first.






42. 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.






43. The expression a/b means






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






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






46. If a = b then






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






48. A + b = b + a






49. If a = b then






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