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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 study of shape from an external perspective.






2. Perform all additions and subtractions in the order presented






3. Three is the common property of the group of sets containing three members. This idea is called '__________ -' which is a synonym for 'size.' The set {a -b -c} is a representative set of the cardinal number 3.






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






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






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


7. 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






8. 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






9. 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






10. 1. Find the prime factorizations of each number.






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






12. Positive integers are






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






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






15. Let a - b - and c represent whole numbers. Then - (a + b) + c = a + (b + c).






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






17. Index p radicand






18. A · 1/a = 1/a · a = 1






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






20. N = {1 - 2 - 3 - 4 - 5 - . . .}.






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






22. 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.






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






24. 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






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






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






27. 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.






28. A number is divisible by 2






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






30. 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






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






32. Originally known as analysis situs






33. 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.






34. To describe and extend a numerical pattern






35. Mathematical statement that equates two mathematical expressions.






36. If a = b then






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






38. A + 0 = 0 + a = a






39. This means that for any two magnitudes - one should always be able to find a fundamental unit that fits some whole number of times into each of them (i.e. - a unit whose magnitude is a whole number factor of each of the original magnitudes)






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






41. Also known as 'clock math -' incorporates 'wrap around' effects by having some number other than zero play the role of zero in addition - subtraction - multiplication - and division.






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






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






44. If a = b then a + c = b + c If a = b then a - c = b - c If a = b then a






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






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






47. (a






48. An arrangement where order matters.






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






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