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






2. The state of appearing unchanged.






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






4. 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.






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






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






7. 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.






8. 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.






9. 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






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






11. 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.






12. A






13. Mathematical statement that equates two mathematical expressions.






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






15. A topological invariant that relates a surface's vertices - edges - and faces.






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






17. 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.






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






19. Multiplication is equivalent to






20. A · 1 = 1 · a = a






21. 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.






22. Writing Mathematical equations - arrange your work one equation






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






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






25. Aka The Osculating Circle - a way to measure the curvature of a line.






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






27. 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






28. A graph in which every node is connected to every other node is called a complete graph.






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






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

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






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






33. If a is any whole number - then a






34. 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.






35. Use parentheses - brackets - or curly braces to delimit the part of an expression you want evaluated first.






36. 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.'






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






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






39. 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 -






40. Has no factors other than 1 and itself






41. The process of taking a complicated signal and breaking it into sine and cosine components.






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






43. ____________ 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






44. × - ( )( ) - · - 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






45. 4 more than a certain number is 12






46. Also known as gluing diagrams - are a convenient way to examine intrinsic topology.






47. We can think of the space between primes as 'prime deserts -' strings of consecutive numbers - none of which are prime.






48. 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).






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






50. 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






Can you answer 50 questions in 15 minutes?



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