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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. Collection of objects. list all the objects in the set and enclosing the list in curly braces.






2. A whole number (other than 1) is a _____________ if its only factors (divisors) are 1 and itself. Equivalently - a number is prime if and only if it has exactly two factors (divisors).






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






4. Writing Mathematical equations - arrange your work one equation






5. Arise from the attempt to measure all quantities with a common unit of measure.






6. 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).






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






8. 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






9. 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.'






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






11. 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






12. The study of shape from an external perspective.






13. In this type of geometry the angles of a triangle add up to less than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits many parallel lines.






14. 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.






15. 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.






16. To describe and extend a numerical pattern






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






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






19. Index p radicand






20. The fundamental theorem of arithmetic says that






21. 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






22. If its final digit is a 0.






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






24. Requirements for Word Problem Solutions.






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






26. ____________ 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






27. When writing mathematical statements - follow the mantra:






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






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






30. 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.






31. This method can create a flat map from a curved surface while preserving all angles in any features present.






32. If a = b then






33. All integers are thus divided into three classes:






34. 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.






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






36. 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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37. If a = b then a + c = b + c If a = b then a - c = b - c If a = b then a






38. 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.






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






40. 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.






41. A + b = b + a






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






43. A · 1/a = 1/a · a = 1






44. In any ratio of two whole numbers - expressed as a fraction - we can interpret the first (top) number to be the 'counter -' or numerator






45. Multiplication is equivalent to






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






47. 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).






48. 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






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






50. Originally known as analysis situs