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






2. In the expression 3






3. (a






4. A · b = b · a






5. 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.






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






7. Codifies the 'average behavior' of a random event and is a key concept in the application of probability.






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






9. Multiplication is equivalent to






10. Says that when a random process - such as dropping marbles through a Galton board - is repeated many times - the frequencies of the observed outcomes get increasingly closer to the theoretical probabilities.






11. Dimension is how mathematicians express the idea of degrees of freedom






12. 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






13. 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






14. The surface of a standard 'donut shape'.






15. Index p radicand






16. The four-dimensional analog of the cube - square - and line segment. A hypercube is formed by taking a 3-D cube - pushing a copy of it into the fourth dimension - and connecting it with cubes. Envisioning this object in lower dimensions requires that






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






18. If a = b then






19. The system that Euclid used in The Elements






20. If a represents any whole number - then a






21. 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.






22. An arrangement where order matters.






23. A way to analyze sequences of events where the outcomes of prior events affect the probability of outcomes of subsequent events.






24. Means approximately equal.






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






26. 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.






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






28. 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






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






30. The state of appearing unchanged.






31. 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 -






32. 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.'






33. 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






34. 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.






35. 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.






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






37. Is a path that visits every node in a graph and ends where it began.






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






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






40. If a = b then






41. Adding the same quantity to both sides of an equation - if a = b - then adding c to both sides of the equation produces the equivalent equation a + c = b + c.






42. 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.






43. The cardinality of sets that cannot be put into one-to-one correspondence with the counting numbers - such as the set of real numbers - is referred to as c. The designations A_0 and c are known as 'transfinite' cardinalities.






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






45. 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).






46. A






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






48. 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.






49. If grouping symbols are nested






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