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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. Three is the common property of the group of sets containing three members. This idea is called '__________ -' which is a synonym for 'size.' The set {a -b -c} is a representative set of the cardinal number 3.






2. A · 1 = 1 · a = a






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






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






5. This result says that the symmetries of geometric objects can be expressed as groups of permutations.

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6. Cannot be written as a ratio of natural numbers.






7. Negative






8. If a is any whole number - then a






9. If a = b then






10. A + 0 = 0 + a = a






11. (a






12. The system that Euclid used in The Elements






13. 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.






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






15. The solutions to this gambling dilemma is traditionally held to be the start of modern probability theory.






16. × - ( )( ) - · - 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






17. A flat map of hyperbolic space.






18. In the expression 3






19. Requirements for Word Problem Solutions.






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

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22. 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.






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






24. (a · b) · c = a · (b · c)






25. 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






26. A · 1/a = 1/a · a = 1






27. 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.






28. A + b = b + a






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






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






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






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






33. Cantor called the cardinality of all the sets that can be put into one-to-one correspondence with the counting numbers - or 'Aleph Null.'






34. 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).






35. 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.






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






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






38. 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.






39. Is the length around an object. Used to calculate such things as fencing around a yard - trimming a piece of material - and the amount of baseboard needed for a room.It is not necessary to have a formula since it is always just calculated by adding t






40. A number is divisible by 2






41. Multiplication is equivalent to






42. 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)






43. Means approximately equal.






44. If on a surface there is no meaningful way to tell an object's orientation (left or right handedness) - the surface is said to be non-orientable.






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






46. A topological invariant that relates a surface's vertices - edges - and faces.






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






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






49. 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






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






Can you answer 50 questions in 15 minutes?



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