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






2. 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.






3. To describe and extend a numerical pattern






4. A flat map of hyperbolic space.






5. Add and subtract






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






7. 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






8. This ubiquitous result describes the outcomes of many trials of events from a wide array of contexts. It says that most results cluster around the average with few results far above or far below average.






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






10. A · 1 = 1 · a = a






11. 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.'






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






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






14. 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 -






15. 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






16. 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






17. 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.






18. Let a - b - and c represent whole numbers. Then - (a + b) + c = a + (b + c).






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






20. Mathematical statement that equates two mathematical expressions.






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






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






23. An arrangement where order matters.






24. 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.






25. × - ( )( ) - · - 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






26. Means approximately equal.






27. If grouping symbols are nested






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

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29. The system that Euclid used in The Elements






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






31. When writing mathematical statements - follow the mantra:






32. Are the fundamental building blocks of arithmetic.






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






34. In any ratio of two whole numbers - expressed as a fraction - we can interpret the first (top) number to be the 'counter -' or numerator






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






36. Public key encryption allows two parties to communicate securely over an un-secured computer network using the properties of prime numbers and modular arithmetic. RSA is the modern standard for public key encryption.






37. An important part of problem solving is identifying






38. W = {0 - 1 - 2 - 3 - 4 - 5 - . . .} is called






39. 1. Find the prime factorizations of each number. To find the prime factorization one method is a factor tree where you begin with any two factors and proceed by dividing the numbers until all the ends are prime factors. 2. Star factors which are shar






40. 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.






41. In the expression 3






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






43. If a = b then






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






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






46. Multiplication is equivalent to






47. If we start with a number x and subtract a number a - then adding a to the result will return us to the original number x. In symbols - x - a + a = x. So -






48. If a = b then






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






50. 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