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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 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.






2. 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 -






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






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






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






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






7. Has no factors other than 1 and itself






8. A '___________' infinite set is one that can be put into one-to-one correspondence with the set of natural numbers.






9. Let a and b be whole numbers. Then a is _______________ by b if and only if the remainder is zero when a is divided by b. In this case - we say that 'b is a divisor of a.'






10. 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






11. If a represents any whole number - then a






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






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






14. 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.






15. Every whole number can be uniquely factored as a product of primes. This result guarantees that if the prime factors are ordered from smallest to largest - everyone will get the same result when breaking a number into a product of prime factors.






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






17. The state of appearing unchanged.






18. 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.






19. A + 0 = 0 + a = a






20. 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.






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






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






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

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24. A point in four-space - also known as 4-D space - requires four numbers to fix its position. Four-space has a fourth independent direction - described by 'ana' and 'kata.'






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






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






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






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






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






30. Negative






31. An instrument's _____ - the sound it produces - is a complex mixture of waves of different frequencies.






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






33. 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






34. 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)






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






36. 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.






37. 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






38. If a = b then






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






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






41. 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






42. Requirements for Word Problem Solutions.






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






44. × - ( )( ) - · - 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






45. 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.






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






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






48. Index p radicand






49. The study of shape from the perspective of being on the surface of the shape.






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






Can you answer 50 questions in 15 minutes?



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