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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. Add and subtract






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






4. The inverse of multiplication






5. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.






6. 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 -






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






8. If a = b then






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 + b = b + a






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






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






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






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






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

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






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






18. 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






19. 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.






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






21. Collection of objects. list all the objects in the set and enclosing the list in curly braces.






22. An important part of problem solving is identifying






23. 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.






24. 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.






25. Perform all additions and subtractions in the order presented






26. Of central importance in Ramsey Theory - and in combinatorics in general - is the 'pigeonhole principle -' also known as Dirichlet's box. This principle simply states that we cannot fit n+1 pigeons into n pigeonholes in such a way that only one pigeo






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






28. 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 -






29. 1. Find the prime factorizations of each number.






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






31. If grouping symbols are nested






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






33. Aka The Osculating Circle - a way to measure the curvature of a line.






34. 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).






35. A + 0 = 0 + a = a






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






37. 4 more than a certain number is 12






38. A · 1/a = 1/a · a = 1






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






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






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






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






43. The system that Euclid used in The Elements






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

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






46. Also known as gluing diagrams - are a convenient way to examine intrinsic topology.






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






48. 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






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






50. If a is any whole number - then a







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