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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. If a is any whole number - then a






2. Does not change the solution set. That is - if a = b - then multiplying both sides of the equation by c produces the equivalent equation a






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






4. Used to display measurements. The measurement was taken is placed on the horizontal axis - and the height of each bar equals the amount during that year.






5. Multiplication is equivalent to






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






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






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






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






10. 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.






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






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






13. Add and subtract






14. Mathematical statement that equates two mathematical expressions.






15. Non-Euclidean geometries abide by some - but not all of Euclid's five postulates.






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






17. The fundamental theorem of arithmetic says that






18. 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






19. Are the fundamental building blocks of arithmetic.






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






21. Rules for Rounding - To round a number to a particular place - follow these steps:






22. Has no factors other than 1 and itself






23. 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.






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






25. Negative






26. 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.'






27. 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






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






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






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






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






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






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






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






35. 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.






36. 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






37. 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.






38. In this type of geometry the angles of a triangle add up to less than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits many parallel lines.






39. 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.'






40. Writing Mathematical equations - arrange your work one equation






41. All integers are thus divided into three classes:






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






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






44. If grouping symbols are nested






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






46. A · 1 = 1 · a = a






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






48. 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






49. (a · b) · c = a · (b · c)






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