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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 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






2. Arise from the attempt to measure all quantities with a common unit of measure.






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






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






5. Solving Equations






6. Perform all additions and subtractions in the order presented






7. A way to extrinsically measure the curvature of a surface by looking at a given point and finding the contour line with the greatest curvature and the contour line with the least curvature.






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






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






10. 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.






11. Negative






12. 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.






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






14. Determines the likelihood of events that are not independent of one another.






15. A






16. 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.






17. This important result says that every natural number greater than one can be expressed as a product of primes in exactly one way.






18. Index p radicand






19. 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






20. 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






21. 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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22. If a represents any whole number - then a






23. Mathematical statement that equates two mathematical expressions.






24. (a · b) · c = a · (b · c)






25. If a = b then






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






27. Requirements for Word Problem Solutions.






28. This area of mathematics relates symmetry to whether or not an equation has a 'simple' solution.






29. A · 1/a = 1/a · a = 1






30. The expression a/b means






31. Originally known as analysis situs






32. ____________ 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






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






34. Dimension is how mathematicians express the idea of degrees of freedom






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






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






37. The inverse of multiplication






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






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






40. The study of shape from an external perspective.






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






42. 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.






43. Some favor repeatedly dividing by 2 until the result is no longer divisible by 2. Then try repeatedly dividing by the next prime until the result is no longer divisible by that prime. The process terminates when the last resulting quotient is equal t






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






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






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






47. If a = b then






48. 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.






49. The state of appearing unchanged.






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