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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 a is any whole number - then a






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






3. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.






4. If a = b then






5. You must always solve the equation set up in the previous step.






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






7. Requirements for Word Problem Solutions.






8. 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






9. 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






10. The system that Euclid used in The Elements






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






12. × - ( )( ) - · - 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






13. This area of mathematics relates symmetry to whether or not an equation has a 'simple' solution.






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






15. Writing Mathematical equations - arrange your work one equation






16. The fundamental theorem of arithmetic says that






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






18. GThe mathematical study of space. The geometry of a space goes hand in hand with how one defines the shortest distance between two points in that space.






19. 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.






20. A + b = b + a






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






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






23. This result relates conserved physical quantities - like conservation of energy - to continuous symmetries of spacetime.

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24. A · 1 = 1 · a = a






25. 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.






26. 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.






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






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






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






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






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






32. 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






33. 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.






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






35. 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






36. Let a and b represent two whole numbers. Then - a + b = b + a.






37. 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






38. An arrangement where order matters.






39. The study of shape from an external perspective.






40. Points in two-dimensional space require two numbers to specify them completely. The Cartesian plane is a good way to envision two-dimensional space.






41. 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 -






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






43. Means approximately equal.






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






45. 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






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






47. When writing mathematical statements - follow the mantra:






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






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






50. 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