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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. If a = b then






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






3. An object possessing continuous symmetries can remain invariant while one symmetry is turned into another. A circle is an example of an object with continuous symmetries.






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

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






6. The state of appearing unchanged.






7. Requirements for Word Problem Solutions.






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






9. 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.






10. To describe and extend a numerical pattern






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






12. 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.






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






14. 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






15. 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.






16. Originally known as analysis situs






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






18. (a






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






20. Non-Euclidean geometries abide by some - but not all of Euclid's five postulates.






21. 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).






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






23. 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.






24. 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






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






26. If a = b then






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






28. Positive integers are






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






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






31. 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 -






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






33. 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 -






34. 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.'






35. A






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






37. 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






38. This area of mathematics relates symmetry to whether or not an equation has a 'simple' solution.






39. Negative






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






41. 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.






42. 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).






43. 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






44. 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






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






46. 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






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. A + b = b + a






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






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