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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. 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






2. If a represents any whole number - then a






3. Originally known as analysis situs






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






5. If a = b then






6. 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.






7. A way to extrinsically measure the curvature of a surface by looking at a given point and finding the contour line with the greatest curvature and the contour line with the least curvature.






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






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






10. Every solution to a word problem must include a carefully crafted equation that accurately describes the constraints in the problem statement.






11. A · b = b · a






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






13. Perform all additions and subtractions in the order presented






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






15. 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






16. 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.






17. 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.






18. 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






19. 4 more than a certain number is 12






20. If the sum of its digits is divisible by 9 (ex: 3591 is divisible by 9 since 3 + 5 + 9 + 1 = 18 is divisible by 9).






21. 1. Find the prime factorizations of each number. To find the prime factorization one method is a factor tree where you begin with any two factors and proceed by dividing the numbers until all the ends are prime factors. 2. Star factors which are shar






22. Arise from the attempt to measure all quantities with a common unit of measure.






23. The four-dimensional analog of the cube - square - and line segment. A hypercube is formed by taking a 3-D cube - pushing a copy of it into the fourth dimension - and connecting it with cubes. Envisioning this object in lower dimensions requires that






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






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

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26. Solving Equations






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






28. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.






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






30. Negative






31. The expression a/b means






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






33. 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






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






35. An instrument's _____ - the sound it produces - is a complex mixture of waves of different frequencies.






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






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






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






39. 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






40. 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.






41. If its final digit is a 0.






42. Mathematical statement that equates two mathematical expressions.






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. The state of appearing unchanged.






45. If grouping symbols are nested






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






47. 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






48. 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.






49. 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.






50. An object possessing continuous symmetries can remain invariant while one symmetry is turned into another. A circle is an example of an object with continuous symmetries.