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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. × - ( )( ) - · - 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






2. The system that Euclid used in The Elements






3. The fundamental theorem of arithmetic says that






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






5. 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).






6. Whether or not we hear waves as sound has everything to do with their _____________ - or how many times every second the molecules switch from compression to rarefaction and back to compression again - and their intensity - or how much the air is com






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






8. Dimension is how mathematicians express the idea of degrees of freedom






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






10. Let a and b represent two whole numbers. Then - a + b = b + a.






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






12. If a represents any whole number - then a






13. 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.






14. 4 more than a certain number is 12






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






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. Requirements for Word Problem Solutions.






18. A flat map of hyperbolic space.






19. If we start with a number x and multiply by a number a - then dividing the result by the number a returns us to the original number x. In symbols - a






20. Solving Equations






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






22. Means approximately equal.






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






25. Mathematical statement that equates two mathematical expressions.






26. Negative






27. 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






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






29. To describe and extend a numerical pattern






30. If a = b then






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






32. 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.






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






34. 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.






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






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






37. Perform all additions and subtractions in the order presented






38. 1. Find the prime factorizations of each number.






39. A + (-a) = (-a) + a = 0






40. (a · b) · c = a · (b · c)






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






42. 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






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. Has no factors other than 1 and itself






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






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






47. 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.'






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






49. 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.






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