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






2. If a = b then






3. 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






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






5. At each level of the tree - break the current number into a product of two factors. The process is complete when all of the 'circled leaves' at the bottom of the tree are prime numbers. Arranging the factors in the 'circled leaves' in order. The fina






6. 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).






7. Negative






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






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






10. A






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






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






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






14. 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 -






15. 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






16. All integers are thus divided into three classes:






17. 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.






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






19. Means approximately equal.






20. Perform all additions and subtractions in the order presented






21. If a is any whole number - then a






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






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






24. Every solution to a word problem must include a carefully crafted equation that accurately describes the constraints in the problem statement.






25. Cannot be written as a ratio of natural numbers.






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






27. Some numbers make geometric shapes when arranged as a collection of dots - for example - 16 makes a square - and 10 makes a triangle.






28. Add and subtract






29. 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.






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






31. A · 1/a = 1/a · a = 1






32. 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.






33. Are the fundamental building blocks of arithmetic.






34. The state of appearing unchanged.






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






36. A flat map of hyperbolic space.






37. The system that Euclid used in The Elements






38. Non-Euclidean geometries abide by some - but not all of Euclid's five postulates.






39. 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.






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






41. An important part of problem solving is identifying






42. × - ( )( ) - · - 1. Multiply the numbers (ignoring the signs)2. The answer is positive if they have the same signs. 3. The answer is negative if they have different signs. 4. Alternatively - count the amount of negative numbers. If there are an even






43. 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.






44. If its final digit is a 0.






45. 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.






46. The expression a^m means a multiplied by itself m times. The number a is called the base of the exponential expression and the number m is called the exponent. The exponent m tells us to repeat the base a as a factor m times.






47. A sphere can be thought of as a stack of circular discs of increasing - then decreasing - radii. The process of slicing is one way to visualize higher-dimensional objects via level curves and surfaces. A hypersphere can be thought of as a 'stack' of






48. A · 1 = 1 · a = a






49. Positive integers are






50. Multiplication is equivalent to