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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. 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






2. A · b = b · a






3. The expression a^m means a multiplied by itself m times. The number a is called the base of the exponential expression and the number m is called the exponent. The exponent m tells us to repeat the base a as a factor m times.






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






5. 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






6. If a whole number is not a prime number - then it is called a...






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






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

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9. If we start with a number x and add a number a - then subtracting a from the result will return us to the original number x. x + a - a = x. so -






10. All integers are thus divided into three classes:






11. 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.






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






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






14. 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.






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. Writing Mathematical equations - arrange your work one equation






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






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






19. The inverse of multiplication






20. This model is at the forefront of probability research. Mathematicians use it to model traffic patterns in an attempt to understand flow rates and gridlock - among other things.






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






22. A way to analyze sequences of events where the outcomes of prior events affect the probability of outcomes of subsequent events.






23. The study of shape from an external perspective.






24. A group is just a collection of objects (i.e. - elements in a set) that obey a few rules when combined or composed by an operation. In order for a set to be considered a group under a certain operation - each element must have an inverse - the set mu






25. Is the length around an object. Used to calculate such things as fencing around a yard - trimming a piece of material - and the amount of baseboard needed for a room.It is not necessary to have a formula since it is always just calculated by adding t






26. Means approximately equal.






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






28. The answer to the question of why the primes occur where they do on the number line has eluded mathematicians for centuries. Gauss's Prime Number Theorem is perhaps one of the most famous attempts to find the 'pattern behind the primes.'






29. 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






30. A sphere can be thought of as a stack of circular discs of increasing - then decreasing - radii. The process of slicing is one way to visualize higher-dimensional objects via level curves and surfaces. A hypersphere can be thought of as a 'stack' of






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






32. 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.






33. If a represents any whole number - then a






34. A · 1 = 1 · a = a






35. Uses second derivatives to relate acceleration in space to acceleration in time.






36. A + 0 = 0 + a = a






37. 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.






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






39. Multiplication is equivalent to






40. Dimension is how mathematicians express the idea of degrees of freedom






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






42. Negative






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






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






45. ____________ 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






46. Rules for Rounding - To round a number to a particular place - follow these steps:






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






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. 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






50. If on a surface there is no meaningful way to tell an object's orientation (left or right handedness) - the surface is said to be non-orientable.