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






2. The study of shape from an external perspective.






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






4. In any ratio of two whole numbers - expressed as a fraction - we can interpret the first (top) number to be the 'counter -' or numerator






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






6. The state of appearing unchanged.






7. If a is any whole number - then a






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






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






10. A · 1 = 1 · a = a






11. This important result says that every natural number greater than one can be expressed as a product of primes in exactly one way.






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






13. 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






14. 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 -






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






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






17. Requirements for Word Problem Solutions.






18. Are the fundamental building blocks of arithmetic.






19. 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.'






20. Also known as 'clock math -' incorporates 'wrap around' effects by having some number other than zero play the role of zero in addition - subtraction - multiplication - and division.






21. Positive integers are






22. 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).






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






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

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






26. 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






27. If a = b then






28. ____________ 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






29. An important part of problem solving is identifying






30. A '___________' infinite set is one that can be put into one-to-one correspondence with the set of natural numbers.






31. × - ( )( ) - · - 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






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






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






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






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






36. In this type of geometry the angles of a triangle add up to more than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits no parallel lines as well as modify Euclid's first two postulates.






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






38. 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.






39. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values






40. (a · b) · c = a · (b · c)






41. 4 more than a certain number is 12






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






43. Index p radicand






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






45. If a = b then






46. 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






47. If a = b then






48. When writing mathematical statements - follow the mantra:






49. (a






50. The expression a^m means a multiplied by itself m times. The number a is called the base of the exponential expression and the number m is called the exponent. The exponent m tells us to repeat the base a as a factor m times.







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