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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. 4 more than a certain number is 12






3. The system that Euclid used in The Elements






4. 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






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






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






8. A · 1/a = 1/a · a = 1






9. An equation is a numerical value that satisfies the equation. That is - when the variable in the equation is replaced by the solution - a true statement results.






10. We can think of the space between primes as 'prime deserts -' strings of consecutive numbers - none of which are prime.






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






12. If a = b then






13. The distribution of averages of many trials is always normal - even if the distribution of each trial is not.






14. A + (-a) = (-a) + a = 0






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






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






17. An algebraic 'sentence' containing an unknown quantity.






18. 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.






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






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






21. Solving Equations






22. 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.






23. To describe and extend a numerical pattern






24. Our standard notions of Pythagorean distance and angle via the inner product extend quite nicely from three-space.






25. Writing Mathematical equations - arrange your work one equation






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






27. A point in four-space - also known as 4-D space - requires four numbers to fix its position. Four-space has a fourth independent direction - described by 'ana' and 'kata.'






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






29. 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).






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

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






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






33. Means approximately equal.






34. 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.






35. An arrangement where order matters.






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






37. TA model of a sequence of random events. Each marble that passes through the system represents a trial consisting of as many random events as there are rows in the system.






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






39. 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






40. Negative






41. The expression a/b means






42. If a = b then






43. 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






44. 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






45. 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






46. 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.






47. 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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48. Let a - b - and c represent whole numbers. Then - (a + b) + c = a + (b + c).






49. 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.






50. Aka The Osculating Circle - a way to measure the curvature of a line.