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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. Negative






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






3. 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.






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






5. 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).






6. 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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7. N = {1 - 2 - 3 - 4 - 5 - . . .}.






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






9. Multiplication is equivalent to






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






11. A






12. 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






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






14. Let a - b - and c be any whole numbers. Then - a






15. 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.






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






17. 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






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






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






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






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






22. Every whole number can be uniquely factored as a product of primes. This result guarantees that if the prime factors are ordered from smallest to largest - everyone will get the same result when breaking a number into a product of prime factors.






23. An important part of problem solving is identifying






24. 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.






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

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26. 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.






27. 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).






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






29. 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






30. 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






31. 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.






32. Writing Mathematical equations - arrange your work one equation






33. 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






34. If a represents any whole number - then a






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






36. A + 0 = 0 + a = a






37. A way to extrinsically measure the curvature of a surface by looking at a given point and finding the contour line with the greatest curvature and the contour line with the least curvature.






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






39. 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






40. The study of shape from an external perspective.






41. Solving Equations






42. Let a and b be whole numbers. Then a is _______________ by b if and only if the remainder is zero when a is divided by b. In this case - we say that 'b is a divisor of a.'






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






44. 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






45. Whether or not we hear waves as sound has everything to do with their _____________ - or how many times every second the molecules switch from compression to rarefaction and back to compression again - and their intensity - or how much the air is com






46. 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.'






47. 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.






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






49. Originally known as analysis situs






50. If a = b then