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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. A way to measure how far away a given individual result is from the average result.






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






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






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






5. 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






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






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






8. 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






9. All integers are thus divided into three classes:






10. The cardinality of sets that cannot be put into one-to-one correspondence with the counting numbers - such as the set of real numbers - is referred to as c. The designations A_0 and c are known as 'transfinite' cardinalities.






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






12. 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






13. A · 1/a = 1/a · a = 1






14. 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






15. The amount of displacement - as measured from the still surface line.






16. Perform all additions and subtractions in the order presented






17. × - ( )( ) - · - 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






18. A + (-a) = (-a) + a = 0






19. Rules for Rounding - To round a number to a particular place - follow these steps:






20. 4 more than a certain number is 12






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






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






23. 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.






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






25. If a represents any whole number - then a






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






27. 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






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






29. 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.






30. 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.






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






32. Of central importance in Ramsey Theory - and in combinatorics in general - is the 'pigeonhole principle -' also known as Dirichlet's box. This principle simply states that we cannot fit n+1 pigeons into n pigeonholes in such a way that only one pigeo






33. This method can create a flat map from a curved surface while preserving all angles in any features present.






34. If a = b then






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






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






37. A group is just a collection of objects (i.e. - elements in a set) that obey a few rules when combined or composed by an operation. In order for a set to be considered a group under a certain operation - each element must have an inverse - the set mu






38. 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.






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






40. A(b + c) = a · b + a · c a(b - c) = a · b - a · c






41. If the sum of its digits is divisible by 9 (ex: 3591 is divisible by 9 since 3 + 5 + 9 + 1 = 18 is divisible by 9).






42. 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.






43. Originally known as analysis situs






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

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45. A · b = b · a






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






47. ____________ theory enables us to use mathematics to characterize and predict the behavior of random events. By 'random' we mean 'unpredictable' in the sense that in a given specific situation - our knowledge of current conditions gives us no way to






48. Are the fundamental building blocks of arithmetic.






49. Reveals why we tend to find structure in seemingly random sets. Ramsey numbers indicate how big a set must be to guarantee the existence of certain minimal structures.






50. A