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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. 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).






2. An important part of problem solving is identifying






3. 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.






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






5. (a






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






7. A graph in which every node is connected to every other node is called a complete graph.






8. 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.






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






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






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






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






14. Writing Mathematical equations - arrange your work one equation






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






16. Solving Equations






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






18. 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.






19. A way to extrinsically measure the curvature of a surface by looking at a given point and finding the contour line with the greatest curvature and the contour line with the least curvature.






20. Negative






21. Requirements for Word Problem Solutions.






22. A '___________' infinite set is one that can be put into one-to-one correspondence with the set of natural numbers.






23. 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






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






25. Means approximately equal.






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






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






28. Does not change the solution set. That is - if a = b - then multiplying both sides of the equation by c produces the equivalent equation a






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






30. An object possessing continuous symmetries can remain invariant while one symmetry is turned into another. A circle is an example of an object with continuous symmetries.






31. 1. Any two points can be joined by a straight line. 2. Any straight line segment can be extended indefinitely in a straight line. 3. Given any straight line segment - a circle can be drawn having the segment as radius and one endpoint as center. 4. A


32. If a = b then






33. 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.






34. Mathematical statement that equates two mathematical expressions.






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






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






37. 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.






38. 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.






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






40. A






41. Positive integers are






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






43. Breaks a complicated signal into a combination of simple sine waves. Fourier synthesis does the opposite - constructing a complicated signal from simple sine waves.






44. × - ( )( ) - · - 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






45. A + b = b + a






46. A · 1 = 1 · a = a






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






48. (a · b) · c = a · (b · c)






49. 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






50. 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