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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. A(b + c) = a · b + a · c a(b - c) = a · b - a · c






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






3. 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.






4. The expression a/b means






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






6. 4 more than a certain number is 12






7. If a = b then






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. Are the fundamental building blocks of arithmetic.






10. 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.






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






12. 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






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






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






15. The fundamental theorem of arithmetic says that






16. 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






17. A + 0 = 0 + a = a






18. The study of shape from an external perspective.






19. A · 1/a = 1/a · a = 1






20. Every solution to a word problem must include a carefully crafted equation that accurately describes the constraints in the problem statement.






21. Every whole number can be uniquely factored as a product of primes. This result guarantees that if the prime factors are ordered from smallest to largest - everyone will get the same result when breaking a number into a product of prime factors.






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






23. In the expression 3






24. 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






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






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






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. This famous - as yet unproven - result relates to the distribution of prime numbers on the number line.






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






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






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






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






33. Add and subtract






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






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






36. 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






37. × - ( )( ) - · - 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






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






39. 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).






40. Requirements for Word Problem Solutions.






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






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






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






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






45. 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






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






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






48. 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 -






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






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