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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. Perform all additions and subtractions in the order presented






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






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






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






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






6. A · 1 = 1 · a = a






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






8. If a = b then






9. Index p radicand






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






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






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






13. If a represents any whole number - then a






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. 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






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






17. The inverse of multiplication






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






19. Codifies the 'average behavior' of a random event and is a key concept in the application of probability.






20. 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






21. 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






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






23. 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 -






24. Negative






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






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






27. N = {1 - 2 - 3 - 4 - 5 - . . .}.






28. If its final digit is a 0 or 5.






29. 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.






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






31. Requirements for Word Problem Solutions.






32. ____________ 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






33. Some numbers make geometric shapes when arranged as a collection of dots - for example - 16 makes a square - and 10 makes a triangle.






34. 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.






35. Says that when a random process - such as dropping marbles through a Galton board - is repeated many times - the frequencies of the observed outcomes get increasingly closer to the theoretical probabilities.






36. 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.'






37. Aka The Osculating Circle - a way to measure the curvature of a line.






38. 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.






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






40. Writing Mathematical equations - arrange your work one equation






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






42. Einstein's famous theory - relates gravity to the curvature of spacetime.






43. If a = b then a + c = b + c If a = b then a - c = b - c If a = b then a






44. An equation is a numerical value that satisfies the equation. That is - when the variable in the equation is replaced by the solution - a true statement results.






45. If its final digit is a 0.






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






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






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






49. The identification of a 'one-to-one' correspondence--enables us to enumerate a set that may be difficult to count in terms of another set that is more easily counted.






50. If a = b then