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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. Is a path that visits every node in a graph and ends where it began.






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

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






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






5. A + 0 = 0 + a = a






6. 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.






7. 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






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






9. A factor tree is a way to visualize a number's






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






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






12. 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)






13. A · b = b · a






14. Writing Mathematical equations - arrange your work one equation






15. 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.






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






17. Objects are topologically equivalent if they can be continuously deformed into one another. Properties that are preserved during this process are called topological invariants.






18. (a






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






20. 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.






21. 1. Find the prime factorizations of each number.






22. 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






23. Says that when a random process - such as dropping marbles through a Galton board - is repeated many times - the frequencies of the observed outcomes get increasingly closer to the theoretical probabilities.






24. 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






25. 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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26. A + (-a) = (-a) + a = 0






27. 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).






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






29. 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






30. Has no factors other than 1 and itself






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






32. 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






33. 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






34. 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






35. Topological objects are categorized by their _______ (number of holes). The genus of a surface is a feature of its global topology.






36. × - ( )( ) - · - 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






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






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






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






40. 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.






41. A whole number (other than 1) is a _____________ if its only factors (divisors) are 1 and itself. Equivalently - a number is prime if and only if it has exactly two factors (divisors).






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






43. Does not change the solution set. That is - if a = b - then dividing both sides of the equation by c produces the equivalent equation a/c = b/c - provided c = 0.






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






45. If we start with a number x and multiply by a number a - then dividing the result by the number a returns us to the original number x. In symbols - a






46. A graph in which every node is connected to every other node is called a complete graph.






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






48. 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.






49. 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.






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