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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. Mathematical statement that equates two mathematical expressions.






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






3. 4 more than a certain number is 12






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






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






6. A + (-a) = (-a) + a = 0






7. 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.






8. If a = b then






9. Requirements for Word Problem Solutions.






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






11. 1. Parentheses (or any grouping symbol {braces} - [square brackets] - |absolute value|)

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12. Positive integers are






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






14. Originally known as analysis situs






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






16. Says that when a random process - such as dropping marbles through a Galton board - is repeated many times - the frequencies of the observed outcomes get increasingly closer to the theoretical probabilities.






17. If a = b then






18. Is the length around an object. Used to calculate such things as fencing around a yard - trimming a piece of material - and the amount of baseboard needed for a room.It is not necessary to have a formula since it is always just calculated by adding t






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






20. 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.






21. An arrangement where order matters.






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






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






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. A number is divisible by 2






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






27. To describe and extend a numerical pattern






28. In the expression 3






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






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






31. The state of appearing unchanged.






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






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






34. All integers are thus divided into three classes:






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






36. A + 0 = 0 + a = a






37. 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 -






38. 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






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






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






41. A · 1/a = 1/a · a = 1






42. If a = b then






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






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






45. Has no factors other than 1 and itself






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






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






48. A + b = b + a






49. 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).






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