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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. Means approximately equal.






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






3. W = {0 - 1 - 2 - 3 - 4 - 5 - . . .} is called






4. A · 1 = 1 · a = a






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






6. 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






7. Multiplication is equivalent to






8. Codifies the 'average behavior' of a random event and is a key concept in the application of probability.






9. If its final digit is a 0.






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

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






12. The system that Euclid used in The Elements






13. Requirements for Word Problem Solutions.






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






15. Negative






16. If a = b then






17. Says that when a random process - such as dropping marbles through a Galton board - is repeated many times - the frequencies of the observed outcomes get increasingly closer to the theoretical probabilities.






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






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






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






22. The study of shape from an external perspective.






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






24. 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).






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






26. 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






27. The state of appearing unchanged.






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






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






30. If a = b then






31. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones






32. ____________ 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






33. In the expression 3






34. An important part of problem solving is identifying






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






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






37. 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






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






39. Used to display measurements. The measurement was taken is placed on the horizontal axis - and the height of each bar equals the amount during that year.






40. 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 -






41. 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






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






43. A · b = b · a






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






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






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

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47. A flat map of hyperbolic space.






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






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






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