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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. 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.






2. 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.






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






4. The fundamental theorem of arithmetic says that






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

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6. If a is any whole number - then a






7. The study of shape from an external perspective.






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






9. 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






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






11. If a whole number is not a prime number - then it is called a...






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






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






14. 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






15. 1. Any two points can be joined by a straight line. 2. Any straight line segment can be extended indefinitely in a straight line. 3. Given any straight line segment - a circle can be drawn having the segment as radius and one endpoint as center. 4. A

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






17. (a






18. If a = b then






19. 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






20. 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






21. Does not change the solution set. That is - if a = b - then dividing both sides of the equation by c produces the equivalent equation a/c = b/c - provided c = 0.






22. A · 1/a = 1/a · a = 1






23. Perform all additions and subtractions in the order presented






24. 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.






25. The inverse of multiplication






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






27. 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.'






28. If a represents any whole number - then a






29. When writing mathematical statements - follow the mantra:






30. The expression a^m means a multiplied by itself m times. The number a is called the base of the exponential expression and the number m is called the exponent. The exponent m tells us to repeat the base a as a factor m times.






31. ____________ 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






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






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






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






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






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






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






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






39. 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.






40. 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






41. (a · b) · c = a · (b · c)






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






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






44. This important result says that every natural number greater than one can be expressed as a product of primes in exactly one way.






45. 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).






46. A + b = b + a






47. If a = b then






48. 4 more than a certain number is 12






49. An equation is a numerical value that satisfies the equation. That is - when the variable in the equation is replaced by the solution - a true statement results.






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