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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 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






2. Positive integers are






3. Means approximately equal.






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






5. 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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6. 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






7. 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).






8. When writing mathematical statements - follow the mantra:






9. An instrument's _____ - the sound it produces - is a complex mixture of waves of different frequencies.






10. A factor tree is a way to visualize a number's






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






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






13. 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






14. 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.






15. 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.






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






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






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






19. Uses second derivatives to relate acceleration in space to acceleration in time.






20. 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






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






22. If grouping symbols are nested






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






24. The process of taking a complicated signal and breaking it into sine and cosine components.






25. 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.






26. A · b = b · a






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






28. In this type of geometry the angles of a triangle add up to more than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits no parallel lines as well as modify Euclid's first two postulates.






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






30. Index p radicand






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






32. A + 0 = 0 + a = a






33. Let a and b represent two whole numbers. Then - a + b = b + a.






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






35. If a = b then






36. A · 1 = 1 · a = a






37. 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






38. If its final digit is a 0 or 5.






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






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






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






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






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






44. 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






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






46. If a = b then






47. Solving Equations






48. If a = b then






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

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50. × - ( )( ) - · - 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