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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. 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.






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






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






4. Originally known as analysis situs






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






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






7. 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






8. 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






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






10. Are the fundamental building blocks of arithmetic.






11. 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.'






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






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






14. 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






15. A






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






17. 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






18. A · 1/a = 1/a · a = 1






19. 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






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






21. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values






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

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23. Cannot be written as a ratio of natural numbers.






24. W = {0 - 1 - 2 - 3 - 4 - 5 - . . .} is called






25. 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.






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






27. 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.






28. Let a - b - and c be any whole numbers. Then - a






29. Perform all additions and subtractions in the order presented






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






31. An equation is a numerical value that satisfies the equation. That is - when the variable in the equation is replaced by the solution - a true statement results.






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






33. A + 0 = 0 + a = a






34. Writing Mathematical equations - arrange your work one equation






35. The expression a/b means






36. Is a path that visits every node in a graph and ends where it began.






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






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






39. If a is any whole number - then a






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






41. Some favor repeatedly dividing by 2 until the result is no longer divisible by 2. Then try repeatedly dividing by the next prime until the result is no longer divisible by that prime. The process terminates when the last resulting quotient is equal t






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






43. A point in one dimension requires only one number to define it. The number line is a good example of a one-dimensional space.






44. The inverse of multiplication






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






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






47. 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.






48. If its final digit is a 0.






49. 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.






50. Requirements for Word Problem Solutions.







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