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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. Because of the associate property of addition - when presented with a sum of three numbers - whether you start by adding the first two numbers or the last two numbers - the resulting sum is






2. Solving Equations






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






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






5. 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.'






6. The study of shape from an external perspective.






7. Mathematical statement that equates two mathematical expressions.






8. 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.






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






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






11. Topological objects are categorized by their _______ (number of holes). The genus of a surface is a feature of its global topology.






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. A + 0 = 0 + a = a






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






15. 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






16. 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 -






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






18. If we start with a number x and subtract a number a - then adding a to the result will return us to the original number x. In symbols - x - a + a = x. So -






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






20. A point in one dimension requires only one number to define it. The number line is a good example of a one-dimensional space.






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






22. 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.






23. 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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24. 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.






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






26. 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






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






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






29. 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.






30. This result says that the symmetries of geometric objects can be expressed as groups of permutations.

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31. If a - b - and c are any whole numbers - then a






32. If the sum of its digits is divisible by 3 (ex: 3591 is divisible by 3 since 3 + 5 + 9 + 1 = 18 is divisible by 3).






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






34. Means approximately equal.






35. 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






36. 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.






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






38. An important part of problem solving is identifying






39. 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.






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






41. Assuming that the air is of uniform density and pressure to begin with - a region of high pressure will be balanced by a region of low pressure - called rarefaction - immediately following the compression






42. A + b = b + a






43. The inverse of multiplication






44. 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.






45. 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.






46. Perform all additions and subtractions in the order presented






47. 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






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






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






50. When writing mathematical statements - follow the mantra:







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