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






2. 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






3. A · b = b · a






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






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






6. Use parentheses - brackets - or curly braces to delimit the part of an expression you want evaluated first.






7. 4 more than a certain number is 12






8. 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.






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






10. Objects are topologically equivalent if they can be continuously deformed into one another. Properties that are preserved during this process are called topological invariants.






11. If a = b then






12. A + 0 = 0 + a = a






13. 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).






14. Perform all additions and subtractions in the order presented






15. 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






16. A point in three-dimensional space requires three numbers to fix its location.






17. 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).






18. 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






19. A number is divisible by 2






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






21. If its final digit is a 0 or 5.






22. If a = b then






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






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






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






26. When writing mathematical statements - follow the mantra:






27. If its final digit is a 0.






28. A + b = b + a






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






30. The inverse of multiplication






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






32. 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 -






33. Rules for Rounding - To round a number to a particular place - follow these steps:






34. A topological object that can be used to study the allowable states of a given system.






35. The surface of a standard 'donut shape'.






36. If a = b then






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






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






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






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. Negative






42. 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.'






43. 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






44. 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.






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






46. Index p radicand






47. Means approximately equal.






48. Originally known as analysis situs






49. 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.






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