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






2. Because of the associate property of addition - when presented with a sum of three numbers - whether you start by adding the first two numbers or the last two numbers - the resulting sum is






3. 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






4. 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.






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






6. An arrangement where order matters.






7. (a






8. Adding the same quantity to both sides of an equation - if a = b - then adding c to both sides of the equation produces the equivalent equation a + c = b + c.






9. Reveals why we tend to find structure in seemingly random sets. Ramsey numbers indicate how big a set must be to guarantee the existence of certain minimal structures.






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






11. Originally known as analysis situs






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






13. 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.






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






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






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






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






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






19. This means that for any two magnitudes - one should always be able to find a fundamental unit that fits some whole number of times into each of them (i.e. - a unit whose magnitude is a whole number factor of each of the original magnitudes)






20. 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).






21. A · 1 = 1 · a = a






22. Positive integers are






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






24. 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






25. 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.






26. Is the shortest string that contains all possible permutations of a particular length from a given set.






27. 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.'






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






29. You must let your readers know what each variable in your problem represents. This can be accomplished in a number of ways: Statements such as 'Let P represent the perimeter of the rectangle.' - Labeling unknown values with variables in a table - Lab






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






31. An important part of problem solving is identifying






32. 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).






33. If a = b then






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






35. 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 -






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






37. An equation is a numerical value that satisfies the equation. That is - when the variable in the equation is replaced by the solution - a true statement results.






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

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






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






41. Perform all additions and subtractions in the order presented






42. When writing mathematical statements - follow the mantra:






43. If a = b then






44. 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






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






46. ____________ 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






47. TA model of a sequence of random events. Each marble that passes through the system represents a trial consisting of as many random events as there are rows in the system.






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






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






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