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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. Negative






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






3. A






4. 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.






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






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






7. Two equations if they have the same solution set.






8. 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).






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






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






11. If a is any whole number - then a






12. Means approximately equal.






13. Index p radicand






14. Positive integers are






15. Einstein's famous theory - relates gravity to the curvature of spacetime.






16. Multiplication is equivalent to






17. 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






18. 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.






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






20. If grouping symbols are nested






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






22. 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).






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






24. Requirements for Word Problem Solutions.






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






26. 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






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






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






29. Has no factors other than 1 and itself






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






31. A + b = b + a






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






33. Codifies the 'average behavior' of a random event and is a key concept in the application of probability.






34. 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.






35. 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






36. Are the fundamental building blocks of arithmetic.






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






38. In a mathematical sense - it is a transformation that leaves an object invariant. Symmetry is perhaps most familiar as an artistic or aesthetic concept. Designs are said to be symmetric if they exhibit specific kinds of balance - repetition - and/or






39. Division by zero is undefined. Each of the expressions 6






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






41. A · 1/a = 1/a · a = 1






42. Mathematical statement that equates two mathematical expressions.






43. (a






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






45. Collection of objects. list all the objects in the set and enclosing the list in curly braces.






46. 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.






47. A + 0 = 0 + a = a






48. Reveals why we tend to find structure in seemingly random sets. Ramsey numbers indicate how big a set must be to guarantee the existence of certain minimal structures.






49. 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






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