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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. 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






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






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






4. 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






5. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones






6. 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






7. Original Balance minus River Tam's Withdrawal is Current Balance






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






9. (a






10. 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.






11. The multitude concept presented numbers as collections of discrete units - rather like indivisible atoms.






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






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






14. The system that Euclid used in The Elements






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






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






17. 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.






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






19. (a · b) · c = a · (b · c)






20. If a represents any whole number - then a






21. Use parentheses - brackets - or curly braces to delimit the part of an expression you want evaluated first.






22. A






23. At each level of the tree - break the current number into a product of two factors. The process is complete when all of the 'circled leaves' at the bottom of the tree are prime numbers. Arranging the factors in the 'circled leaves' in order. The fina






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






25. Uses second derivatives to relate acceleration in space to acceleration in time.






26. 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






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






28. An arrangement where order matters.






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






30. When comparing two whole numbers a and b - only one of three possibilities is true: a < b or a = b or a > b.






31. 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)






32. Multiplication is equivalent to






33. 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.






34. 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






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






36. 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






37. If a = b then






38. 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.'






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






40. Means approximately equal.






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






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






43. A + 0 = 0 + a = a






44. 4 more than a certain number is 12






45. 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






46. A point in four-space - also known as 4-D space - requires four numbers to fix its position. Four-space has a fourth independent direction - described by 'ana' and 'kata.'






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. Two equations if they have the same solution set.






49. If a and b are any whole numbers - then a






50. A flat map of hyperbolic space.