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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. In the expression 3






3. 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.






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






5. A · 1/a = 1/a · a = 1






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






7. Are the fundamental building blocks of arithmetic.






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

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9. 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.






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






11. Writing Mathematical equations - arrange your work one equation






12. 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.






13. 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






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






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






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






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






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






19. 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.






20. The state of appearing unchanged.






21. Solving Equations






22. 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






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






24. Non-Euclidean geometries abide by some - but not all of Euclid's five postulates.






25. 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 -






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






27. 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






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






29. Our standard notions of Pythagorean distance and angle via the inner product extend quite nicely from three-space.






30. The study of shape from an external perspective.






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






32. Division by zero is undefined. Each of the expressions 6






33. A · b = b · a






34. Mathematical statement that equates two mathematical expressions.






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






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






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






38. 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






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






40. To describe and extend a numerical pattern






41. The process of taking a complicated signal and breaking it into sine and cosine components.






42. 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.






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






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






45. If a = b then






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






47. 4 more than a certain number is 12






48. This step is easily overlooked. For example - the problem might ask for Jane's age - but your equation's solution gives the age of Jane's sister Liz. Make sure you answer the original question asked in the problem. Your solution should be written in






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






50. 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.







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