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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. 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






2. Of central importance in Ramsey Theory - and in combinatorics in general - is the 'pigeonhole principle -' also known as Dirichlet's box. This principle simply states that we cannot fit n+1 pigeons into n pigeonholes in such a way that only one pigeo






3. 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.






4. Are the fundamental building blocks of arithmetic.






5. If a = b then






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






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






8. 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.






9. 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






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






11. 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.






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






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






14. Uses second derivatives to relate acceleration in space to acceleration in time.






15. (a · b) · c = a · (b · c)






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






17. 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






18. 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.






19. The system that Euclid used in The Elements






20. Add and subtract






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






22. Mathematical statement that equates two mathematical expressions.






23. Let a and b be whole numbers. Then a is _______________ by b if and only if the remainder is zero when a is divided by b. In this case - we say that 'b is a divisor of a.'






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






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






26. 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






27. Solving Equations






28. The four-dimensional analog of the cube - square - and line segment. A hypercube is formed by taking a 3-D cube - pushing a copy of it into the fourth dimension - and connecting it with cubes. Envisioning this object in lower dimensions requires that






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






30. ____________ 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






31. 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.






32. A · 1 = 1 · a = a






33. 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.






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






35. An arrangement where order matters.






36. A point in three-dimensional space requires three numbers to fix its location.






37. 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






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






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






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






41. 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.






42. Has no factors other than 1 and itself






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






44. If a = b then






45. 1. Any two points can be joined by a straight line. 2. Any straight line segment can be extended indefinitely in a straight line. 3. Given any straight line segment - a circle can be drawn having the segment as radius and one endpoint as center. 4. A

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






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






48. 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.






49. A · 1/a = 1/a · a = 1






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