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






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






3. 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






4. If a is any whole number - then a






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






6. If its final digit is a 0.






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






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






9. 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






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






11. An important part of problem solving is identifying






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






13. Is the shortest string that contains all possible permutations of a particular length from a given set.






14. 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.






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






16. The fundamental theorem of arithmetic says that






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






18. In this type of geometry the angles of a triangle add up to less than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits many parallel lines.






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






20. 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






21. Originally known as analysis situs






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






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






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






25. The study of shape from an external perspective.






26. 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.






27. 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






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






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






30. 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 -






31. All integers are thus divided into three classes:






32. If a = b then






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






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






35. ____________ theory enables us to use mathematics to characterize and predict the behavior of random events. By 'random' we mean 'unpredictable' in the sense that in a given specific situation - our knowledge of current conditions gives us no way to






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






37. 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






38. A number is divisible by 2






39. The expression a^m means a multiplied by itself m times. The number a is called the base of the exponential expression and the number m is called the exponent. The exponent m tells us to repeat the base a as a factor m times.






40. 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.






41. This famous - as yet unproven - result relates to the distribution of prime numbers on the number line.






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






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






44. The answer to the question of why the primes occur where they do on the number line has eluded mathematicians for centuries. Gauss's Prime Number Theorem is perhaps one of the most famous attempts to find the 'pattern behind the primes.'






45. A graph in which every node is connected to every other node is called a complete graph.






46. Requirements for Word Problem Solutions.






47. A topological invariant that relates a surface's vertices - edges - and faces.






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






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






50. If the sum of its digits is divisible by 9 (ex: 3591 is divisible by 9 since 3 + 5 + 9 + 1 = 18 is divisible by 9).