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






2. The study of shape from an external perspective.






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






4. 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






5. Mathematical statement that equates two mathematical expressions.






6. ____________ 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






7. Use parentheses - brackets - or curly braces to delimit the part of an expression you want evaluated first.






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






9. Perform all additions and subtractions in the order presented






10. 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






11. Writing Mathematical equations - arrange your work one equation






12. If a and b are any whole numbers - then a






13. 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.






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






15. An important part of problem solving is identifying






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






17. Index p radicand






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






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






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






21. 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.






22. 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.






23. A · 1 = 1 · a = a






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






25. A






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






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






28. 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.






29. Solving Equations






30. Is a symbol (usually a letter) that stands for a value that may vary.






31. The fundamental theorem of arithmetic says that






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






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






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






35. 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






36. (a · b) · c = a · (b · c)






37. 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.'






38. 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.






39. 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






40. If a = b then






41. If a whole number is not a prime number - then it is called a...






42. 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.






43. (a






44. A whole number (other than 1) is a _____________ if its only factors (divisors) are 1 and itself. Equivalently - a number is prime if and only if it has exactly two factors (divisors).






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






46. 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.






47. Are the fundamental building blocks of arithmetic.






48. Originally known as analysis situs






49. 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 -






50. Add and subtract