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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. 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.






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






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






4. The fundamental theorem of arithmetic says that






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






6. Originally known as analysis situs






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






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






9. Let a - b - and c represent whole numbers. Then - (a + b) + c = a + (b + c).






10. 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).






11. An instrument's _____ - the sound it produces - is a complex mixture of waves of different frequencies.






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






13. 4 more than a certain number is 12






14. Writing Mathematical equations - arrange your work one equation






15. 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.






16. 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






17. An arrangement where order matters.






18. Requirements for Word Problem Solutions.






19. If its final digit is a 0.






20. Solving Equations






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






22. Has no factors other than 1 and itself






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






24. Negative






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






26. The expression a/b means






27. It is important to note that this step does not imply that you should simply check your solution in your equation. After all - it's possible that your equation incorrectly models the problem's situation - so you could have a valid solution to an inco






28. The system that Euclid used in The Elements






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






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






31. If grouping symbols are nested






32. Let a and b be whole numbers. Then a is _______________ by b if and only if the remainder is zero when a is divided by b. In this case - we say that 'b is a divisor of a.'






33. Positive integers are






34. 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.'






35. 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

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36. 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






37. 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.






38. Does not change the solution set. That is - if a = b - then dividing both sides of the equation by c produces the equivalent equation a/c = b/c - provided c = 0.






39. All integers are thus divided into three classes:






40. 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.






41. 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






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






43. Multiplication is equivalent to






44. ____________ 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






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






46. 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






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






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






49. 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






50. If a = b then