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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. If its final digit is a 0.






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






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






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






5. If grouping symbols are nested






6. An object possessing continuous symmetries can remain invariant while one symmetry is turned into another. A circle is an example of an object with continuous symmetries.






7. Topological objects are categorized by their _______ (number of holes). The genus of a surface is a feature of its global topology.






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






9. 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.






10. 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.






11. 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






12. To describe and extend a numerical pattern






13. 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.






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






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






16. 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






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






18. Has no factors other than 1 and itself






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






20. An arrangement where order matters.






21. The expression a/b means






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






23. A · 1 = 1 · a = a






24. 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)






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






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






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






28. × - ( )( ) - · - 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






29. A(b + c) = a · b + a · c a(b - c) = a · b - a · c






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






31. The study of shape from an external perspective.






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

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33. 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.'






34. The distribution of averages of many trials is always normal - even if the distribution of each trial is not.






35. 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).






36. 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






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






38. (a






39. 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).






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






41. 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.






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






43. 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.






44. Does not change the solution set. That is - if a = b - then multiplying both sides of the equation by c produces the equivalent equation a






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

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47. A way to measure how far away a given individual result is from the average result.






48. 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.






49. A + 0 = 0 + a = a






50. 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.'