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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. Perform all additions and subtractions in the order presented






2. ____________ 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






3. GThe mathematical study of space. The geometry of a space goes hand in hand with how one defines the shortest distance between two points in that space.






4. 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






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






6. When writing mathematical statements - follow the mantra:






7. 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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8. If a and b are any whole numbers - then a






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






10. 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.






11. This step is easily overlooked. For example - the problem might ask for Jane's age - but your equation's solution gives the age of Jane's sister Liz. Make sure you answer the original question asked in the problem. Your solution should be written in






12. 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






13. The state of appearing unchanged.






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






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






16. At each level of the tree - break the current number into a product of two factors. The process is complete when all of the 'circled leaves' at the bottom of the tree are prime numbers. Arranging the factors in the 'circled leaves' in order. The fina






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






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






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






20. Negative






21. In the expression 3






22. Writing Mathematical equations - arrange your work one equation






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






24. If a is any whole number - then a






25. A · 1/a = 1/a · a = 1






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






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






28. If on a surface there is no meaningful way to tell an object's orientation (left or right handedness) - the surface is said to be non-orientable.






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






30. (a






31. If a = b then






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






33. A · 1 = 1 · a = a






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






35. Are the fundamental building blocks of arithmetic.






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






37. If a = b then a + c = b + c If a = b then a - c = b - c If a = b then a






38. 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.






39. This means that for any two magnitudes - one should always be able to find a fundamental unit that fits some whole number of times into each of them (i.e. - a unit whose magnitude is a whole number factor of each of the original magnitudes)






40. 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






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






42. A






43. If a = b then






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. 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.






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






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






48. 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






49. A + 0 = 0 + a = a






50. 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.'