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






2. Mathematical statement that equates two mathematical expressions.






3. A · b = b · a






4. 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).






5. A · 1/a = 1/a · a = 1






6. Means approximately equal.






7. If a = b then






8. 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.






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






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






11. Positive integers are






12. Index p radicand






13. Cantor called the cardinality of all the sets that can be put into one-to-one correspondence with the counting numbers - or 'Aleph Null.'






14. (a · b) · c = a · (b · c)






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






16. The inverse of multiplication






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






18. All integers are thus divided into three classes:






19. A topological object that can be used to study the allowable states of a given system.






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






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






22. 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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23. 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.'






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






25. 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






26. 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.






27. 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






28. To describe and extend a numerical pattern






29. Determines the likelihood of events that are not independent of one another.






30. 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.






31. If a = b then a + c = b + c If a = b then a - c = b - c If a = b then a






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






33. The expression a/b means






34. Multiplication is equivalent to






35. A · 1 = 1 · a = a






36. 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.






37. 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.'






38. 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.






39. If a = b then






40. 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






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






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






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






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






45. 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






46. If grouping symbols are nested






47. 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.






48. An arrangement where order matters.






49. 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.






50. If a and b are any whole numbers - then a