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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. Points in two-dimensional space require two numbers to specify them completely. The Cartesian plane is a good way to envision two-dimensional space.






2. The system that Euclid used in The Elements






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






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






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






6. (a






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






8. A + b = b + a






9. 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






10. The four-dimensional analog of the cube - square - and line segment. A hypercube is formed by taking a 3-D cube - pushing a copy of it into the fourth dimension - and connecting it with cubes. Envisioning this object in lower dimensions requires that






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






12. If a = b then






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. 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.






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






16. Positive integers are






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

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18. 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.'






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






20. 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






21. × - ( )( ) - · - 1. Multiply the numbers (ignoring the signs)2. The answer is positive if they have the same signs. 3. The answer is negative if they have different signs. 4. Alternatively - count the amount of negative numbers. If there are an even






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






23. A sphere can be thought of as a stack of circular discs of increasing - then decreasing - radii. The process of slicing is one way to visualize higher-dimensional objects via level curves and surfaces. A hypersphere can be thought of as a 'stack' of






24. 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.






25. You must let your readers know what each variable in your problem represents. This can be accomplished in a number of ways: Statements such as 'Let P represent the perimeter of the rectangle.' - Labeling unknown values with variables in a table - Lab






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






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






28. 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






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






30. Mathematical statement that equates two mathematical expressions.






31. 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 -






32. 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






33. 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.






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






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






36. 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






37. Originally known as analysis situs






38. 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






39. (a + b) + c = a + (b + c)






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






41. Index p radicand






42. A flat map of hyperbolic space.






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






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






46. ____________ 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






47. If a = b then






48. Means approximately equal.






49. The solutions to this gambling dilemma is traditionally held to be the start of modern probability theory.






50. 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