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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. An arrangement where order matters.






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






3. A · b = b · a






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






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






6. Every solution to a word problem must include a carefully crafted equation that accurately describes the constraints in the problem statement.






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. Add and subtract






9. Are the fundamental building blocks of arithmetic.






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






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






12. Because of the associate property of addition - when presented with a sum of three numbers - whether you start by adding the first two numbers or the last two numbers - the resulting sum is






13. The identification of a 'one-to-one' correspondence--enables us to enumerate a set that may be difficult to count in terms of another set that is more easily counted.






14. 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.'






15. ____________ 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






16. Is the shortest string that contains all possible permutations of a particular length from a given set.






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






18. In a mathematical sense - it is a transformation that leaves an object invariant. Symmetry is perhaps most familiar as an artistic or aesthetic concept. Designs are said to be symmetric if they exhibit specific kinds of balance - repetition - and/or






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






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






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






22. 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.






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. Multiplication is equivalent to






25. Means approximately equal.






26. 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 -






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






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






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






30. If a = b then






31. 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






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






33. 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






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






35. If a represents any whole number - then a






36. A · 1 = 1 · a = a






37. 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.'






38. Whether or not we hear waves as sound has everything to do with their _____________ - or how many times every second the molecules switch from compression to rarefaction and back to compression again - and their intensity - or how much the air is com






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






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






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






42. If its final digit is a 0.






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






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






45. Public key encryption allows two parties to communicate securely over an un-secured computer network using the properties of prime numbers and modular arithmetic. RSA is the modern standard for public key encryption.






46. Index p radicand






47. The system that Euclid used in The Elements






48. 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.






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






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