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






2. If a represents any whole number - then a






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






4. The system that Euclid used in The Elements






5. The expression a/b means






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






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






8. 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






9. If its final digit is a 0 or 5.






10. 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).






11. 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.






12. 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).






13. The study of shape from an external perspective.






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






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






16. A






17. The answer to the question of why the primes occur where they do on the number line has eluded mathematicians for centuries. Gauss's Prime Number Theorem is perhaps one of the most famous attempts to find the 'pattern behind the primes.'






18. Are the fundamental building blocks of arithmetic.






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






20. 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






21. The inverse of multiplication






22. An arrangement where order matters.






23. A number is divisible by 2






24. When writing mathematical statements - follow the mantra:






25. (a · b) · c = a · (b · c)






26. A + b = b + a






27. × - ( )( ) - · - 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






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






29. If its final digit is a 0.






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






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






32. The amount of displacement - as measured from the still surface line.






33. Writing Mathematical equations - arrange your work one equation






34. 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






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






36. 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






37. 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.






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






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






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






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






42. If a = b then






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






44. The distribution of averages of many trials is always normal - even if the distribution of each trial is not.






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






46. Public key encryption allows two parties to communicate securely over an un-secured computer network using the properties of prime numbers and modular arithmetic. RSA is the modern standard for public key encryption.






47. 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.






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






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






50. A · 1/a = 1/a · a = 1