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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 a = b then






2. 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.






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






4. The process of taking a complicated signal and breaking it into sine and cosine components.






5. 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.'






6. × - ( )( ) - · - 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






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






8. A · 1/a = 1/a · a = 1






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






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






11. 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.






12. (a






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






14. The expression a/b means






15. 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






16. 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.






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






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






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






20. Has no factors other than 1 and itself






21. Means approximately equal.






22. If a = b then






23. TA model of a sequence of random events. Each marble that passes through the system represents a trial consisting of as many random events as there are rows in the system.






24. Solving Equations






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






26. 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.






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






28. A · b = b · a






29. A flat map of hyperbolic space.






30. The state of appearing unchanged.






31. 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.






32. Einstein's famous theory - relates gravity to the curvature of spacetime.






33. 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






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

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35. 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).






36. An arrangement where order matters.






37. A topological invariant that relates a surface's vertices - edges - and faces.






38. If a is any whole number - then a






39. (a · b) · c = a · (b · c)






40. 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.






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






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

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43. 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






44. Requirements for Word Problem Solutions.






45. A number is divisible by 2






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






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






48. 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).






49. An important part of problem solving is identifying






50. Some numbers make geometric shapes when arranged as a collection of dots - for example - 16 makes a square - and 10 makes a triangle.