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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 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






2. If its final digit is a 0.






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






4. Multiplication is equivalent to






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






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






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






8. 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






9. 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.






10. Mathematical statement that equates two mathematical expressions.






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






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






13. 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.






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






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






16. 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.






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






18. The inverse of multiplication






19. 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.






20. Are the fundamental building blocks of arithmetic.






21. Perform all additions and subtractions in the order presented






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






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






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






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






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






27. Originally known as analysis situs






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






29. The study of shape from an external perspective.






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






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






32. Einstein's famous theory - relates gravity to the curvature of spacetime.






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






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






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






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






37. 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






38. 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.






39. 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.






40. 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






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






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






43. An algebraic 'sentence' containing an unknown quantity.






44. An important part of problem solving is identifying






45. When writing mathematical statements - follow the mantra:






46. Determines the likelihood of events that are not independent of one another.






47. 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 -






48. 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.






49. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones






50. Means approximately equal.