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






2. If its final digit is a 0.






3. All integers are thus divided into three classes:






4. × - ( )( ) - · - 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






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






6. A + b = b + a






7. 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






8. The fundamental theorem of arithmetic says that






9. Codifies the 'average behavior' of a random event and is a key concept in the application of probability.






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






11. Originally known as analysis situs






12. 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.






13. 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






14. An algebraic 'sentence' containing an unknown quantity.






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






16. Are the fundamental building blocks of arithmetic.






17. 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.






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






19. 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.






20. 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.






21. If a is any whole number - then a






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






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






24. 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






25. A point in four-space - also known as 4-D space - requires four numbers to fix its position. Four-space has a fourth independent direction - described by 'ana' and 'kata.'






26. This result relates conserved physical quantities - like conservation of energy - to continuous symmetries of spacetime.

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






28. W = {0 - 1 - 2 - 3 - 4 - 5 - . . .} is called






29. 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).






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






31. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones






32. 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






33. 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






34. A sphere can be thought of as a stack of circular discs of increasing - then decreasing - radii. The process of slicing is one way to visualize higher-dimensional objects via level curves and surfaces. A hypersphere can be thought of as a 'stack' of






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






36. 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.






37. A · 1 = 1 · a = a






38. 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.






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






40. A + 0 = 0 + a = a






41. You must always solve the equation set up in the previous step.






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






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






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






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






46. 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.'






47. 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






48. Cannot be written as a ratio of natural numbers.






49. 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






50. (a · b) · c = a · (b · c)







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