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






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






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






4. 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)






5. A number is divisible by 2






6. Negative






7. Dimension is how mathematicians express the idea of degrees of freedom






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






9. 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.






10. 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






11. The system that Euclid used in The Elements






12. Means approximately equal.






13. Breaks a complicated signal into a combination of simple sine waves. Fourier synthesis does the opposite - constructing a complicated signal from simple sine waves.






14. 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.






15. If a represents any whole number - then a






16. If a is any whole number - then a






17. 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.






18. A · b = b · a






19. 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.






20. (a






21. 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






22. 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






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






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






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






26. A group is just a collection of objects (i.e. - elements in a set) that obey a few rules when combined or composed by an operation. In order for a set to be considered a group under a certain operation - each element must have an inverse - the set mu






27. 4 more than a certain number is 12






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






29. The study of shape from an external perspective.






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






31. If we start with a number x and subtract a number a - then adding a to the result will return us to the original number x. In symbols - x - a + a = x. So -






32. Multiplication is equivalent to






33. 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






34. Adding the same quantity to both sides of an equation - if a = b - then adding c to both sides of the equation produces the equivalent equation a + c = b + c.






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






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






37. 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).






38. An arrangement where order matters.






39. 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.






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

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

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42. All integers are thus divided into three classes:






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






44. A






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






46. 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.






47. If grouping symbols are nested






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






49. Used to display measurements. The measurement was taken is placed on the horizontal axis - and the height of each bar equals the amount during that year.






50. Positive integers are