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






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






3. Has no factors other than 1 and itself






4. 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


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






6. A · 1 = 1 · a = a






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






8. Mathematical statement that equates two mathematical expressions.






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






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






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






12. (a · b) · c = a · (b · c)






13. 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






14. Requirements for Word Problem Solutions.






15. 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.






16. If a is any whole number - then a






17. Some favor repeatedly dividing by 2 until the result is no longer divisible by 2. Then try repeatedly dividing by the next prime until the result is no longer divisible by that prime. The process terminates when the last resulting quotient is equal t






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






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






20. 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






21. Means approximately equal.






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






23. Use parentheses - brackets - or curly braces to delimit the part of an expression you want evaluated first.






24. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values






25. 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






26. 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 -






27. A






28. The expression a/b means






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






30. Index p radicand






31. If a represents any whole number - then a






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






33. The multitude concept presented numbers as collections of discrete units - rather like indivisible atoms.






34. 1. Find the prime factorizations of each number.






35. An arrangement where order matters.






36. 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






37. 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.






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






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






40. Also known as 'clock math -' incorporates 'wrap around' effects by having some number other than zero play the role of zero in addition - subtraction - multiplication - and division.






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






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






43. ____________ 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






44. 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






45. 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






46. Every solution to a word problem must include a carefully crafted equation that accurately describes the constraints in the problem statement.






47. The state of appearing unchanged.






48. (a






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






50. Writing Mathematical equations - arrange your work one equation