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






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






3. A group is just a collection of objects (i.e. - elements in a set) that obey a few rules when combined or composed by an operation. In order for a set to be considered a group under a certain operation - each element must have an inverse - the set mu






4. If a is any whole number - then a






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






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






7. A






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






9. Positive integers are






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






11. If a = b then






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






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






14. 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.






15. A topological object that can be used to study the allowable states of a given system.






16. Originally known as analysis situs






17. × - ( )( ) - · - 1. Multiply the numbers (ignoring the signs)2. The answer is positive if they have the same signs. 3. The answer is negative if they have different signs. 4. Alternatively - count the amount of negative numbers. If there are an even






18. Add and subtract






19. 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






20. 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.'






21. If grouping symbols are nested






22. A + b = b + a






23. 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






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






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






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






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






28. The expression a/b means






29. Has no factors other than 1 and itself






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






31. A point in three-dimensional space requires three numbers to fix its location.






32. 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






33. The study of shape from an external perspective.






34. 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.






35. Is a symbol (usually a letter) that stands for a value that may vary.






36. 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






37. Are the fundamental building blocks of arithmetic.






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






39. 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.






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






41. 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.






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






43. 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






44. A · 1 = 1 · a = a






45. 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.






46. 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.'






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


48. All integers are thus divided into three classes:






49. 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.






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