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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. Requirements for Word Problem Solutions.






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






3. 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.






4. (a + b) + c = a + (b + c)






5. Used to display measurements. The measurement was taken is placed on the horizontal axis - and the height of each bar equals the amount during that year.






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. If its final digit is a 0.






8. Means approximately equal.






9. If a = b then






10. Negative






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






12. A · 1 = 1 · a = a






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






14. Topological objects are categorized by their _______ (number of holes). The genus of a surface is a feature of its global topology.






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






16. 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.






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






18. The amount of displacement - as measured from the still surface line.






19. Three is the common property of the group of sets containing three members. This idea is called '__________ -' which is a synonym for 'size.' The set {a -b -c} is a representative set of the cardinal number 3.






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






21. Mathematical statement that equates two mathematical expressions.






22. Perform all additions and subtractions in the order presented






23. 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






24. 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






25. All integers are thus divided into three classes:






26. 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.






27. If a represents any whole number - then a






28. This ubiquitous result describes the outcomes of many trials of events from a wide array of contexts. It says that most results cluster around the average with few results far above or far below average.






29. Determines the likelihood of events that are not independent of one another.






30. Add and subtract






31. 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.






32. A






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






34. 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






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






36. The expression a/b means






37. 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.






38. A point in one dimension requires only one number to define it. The number line is a good example of a one-dimensional space.






39. Solving Equations






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






42. 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






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






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

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45. Reveals why we tend to find structure in seemingly random sets. Ramsey numbers indicate how big a set must be to guarantee the existence of certain minimal structures.






46. When writing mathematical statements - follow the mantra:






47. 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






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






49. Breaks a complicated signal into a combination of simple sine waves. Fourier synthesis does the opposite - constructing a complicated signal from simple sine waves.






50. When comparing two whole numbers a and b - only one of three possibilities is true: a < b or a = b or a > b.