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






2. Mathematical statement that equates two mathematical expressions.






3. 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






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






5. If a is any whole number - then a






6. 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.






7. A






8. If grouping symbols are nested






9. Also known as gluing diagrams - are a convenient way to examine intrinsic topology.






10. If its final digit is a 0.






11. 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.






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






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






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






15. This famous - as yet unproven - result relates to the distribution of prime numbers on the number line.






16. Requirements for Word Problem Solutions.






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






18. The state of appearing unchanged.






19. 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.






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

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






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






23. 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






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






25. The study of shape from an external perspective.






26. A flat map of hyperbolic space.






27. 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






28. 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






29. 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.






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






31. 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.






32. 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






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






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






35. The solutions to this gambling dilemma is traditionally held to be the start of modern probability theory.






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






37. 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






38. The cardinality of sets that cannot be put into one-to-one correspondence with the counting numbers - such as the set of real numbers - is referred to as c. The designations A_0 and c are known as 'transfinite' cardinalities.






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






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






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






42. 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.






43. The expression a/b means






44. Perform all additions and subtractions in the order presented






45. 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.'






46. 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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47. (a · b) · c = a · (b · c)






48. Index p radicand






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

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