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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. 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.






3. Multiplication is equivalent to






4. If grouping symbols are nested






5. Also known as gluing diagrams - are a convenient way to examine intrinsic topology.






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






7. If on a surface there is no meaningful way to tell an object's orientation (left or right handedness) - the surface is said to be non-orientable.






8. Solving Equations






9. All integers are thus divided into three classes:






10. 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.






11. If a = b then






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. Rules for Rounding - To round a number to a particular place - follow these steps:






14. In any ratio of two whole numbers - expressed as a fraction - we can interpret the first (top) number to be the 'counter -' or numerator






15. A topological object that can be used to study the allowable states of a given system.






16. An important part of problem solving is identifying






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






18. If a = b then






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






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. 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






22. A · 1/a = 1/a · a = 1






23. A + b = b + a






24. 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






25. 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






26. 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.






27. 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






28. Whether or not we hear waves as sound has everything to do with their _____________ - or how many times every second the molecules switch from compression to rarefaction and back to compression again - and their intensity - or how much the air is com






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






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






31. This result says that the symmetries of geometric objects can be expressed as groups of permutations.

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32. Writing Mathematical equations - arrange your work one equation






33. 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.






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






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






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






37. Add and subtract






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






39. A · 1 = 1 · a = a






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






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






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






43. 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.






44. Positive integers are






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

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46. 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






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






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






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






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