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






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






3. This method can create a flat map from a curved surface while preserving all angles in any features present.






4. This step is easily overlooked. For example - the problem might ask for Jane's age - but your equation's solution gives the age of Jane's sister Liz. Make sure you answer the original question asked in the problem. Your solution should be written in






5. Objects are topologically equivalent if they can be continuously deformed into one another. Properties that are preserved during this process are called topological invariants.






6. A + (-a) = (-a) + a = 0






7. A flat map of hyperbolic space.






8. 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.






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






10. 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






11. Perform all additions and subtractions in the order presented






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. Cannot be written as a ratio of natural numbers.






14. 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.






15. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values






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 factor tree is a way to visualize a number's






18. This important result says that every natural number greater than one can be expressed as a product of primes in exactly one way.






19. Our standard notions of Pythagorean distance and angle via the inner product extend quite nicely from three-space.






20. 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






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






22. 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.






23. GThe mathematical study of space. The geometry of a space goes hand in hand with how one defines the shortest distance between two points in that space.






24. 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






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






26. Cantor called the cardinality of all the sets that can be put into one-to-one correspondence with the counting numbers - or 'Aleph Null.'






27. A · 1 = 1 · a = a






28. 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






29. × - ( )( ) - · - 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






30. 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.






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






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






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






34. Requirements for Word Problem Solutions.






35. If its final digit is a 0.






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






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






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






39. Index p radicand






40. (a · b) · c = a · (b · c)






41. 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






42. 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






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






44. 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).






45. If a is any whole number - then a






46. Multiplication is equivalent to






47. If a = b then






48. 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 -






49. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.






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