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CLEP General Math: Number Sense - Patterns - Algebraic Thinking

Subjects : clep, math, algebra
Instructions:
  • Answer 50 questions in 15 minutes.
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  • 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. 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.






2. An object possessing continuous symmetries can remain invariant while one symmetry is turned into another. A circle is an example of an object with continuous symmetries.






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

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4. 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.'






5. Means approximately equal.






6. Perform all additions and subtractions in the order presented






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






8. The process of taking a complicated signal and breaking it into sine and cosine components.






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






10. Negative






11. A + b = b + a






12. A · 1 = 1 · a = a






13. If a = b then






14. Requirements for Word Problem Solutions.






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






16. Two equations if they have the same solution set.






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






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






19. 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






20. All integers are thus divided into three classes:






21. Add and subtract






22. 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.






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






24. The expression a/b means






25. 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.






26. A number is divisible by 2






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






28. Positive integers are






29. 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.'






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






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






32. To describe and extend a numerical pattern






33. If a = b then






34. 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






35. 1. Parentheses (or any grouping symbol {braces} - [square brackets] - |absolute value|)

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36. The state of appearing unchanged.






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






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






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






40. 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)






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






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






43. 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.






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






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






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






47. 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).






48. 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 -






49. 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.






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