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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. A + 0 = 0 + a = a






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






3. 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.






4. 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






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






6. A · b = b · a






7. A · 1 = 1 · a = a






8. Are the fundamental building blocks of arithmetic.






9. Negative






10. This result relates conserved physical quantities - like conservation of energy - to continuous symmetries of spacetime.

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11. 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.'






12. A way to analyze sequences of events where the outcomes of prior events affect the probability of outcomes of subsequent events.






13. Solving Equations






14. If a = b then






15. 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.






16. N = {1 - 2 - 3 - 4 - 5 - . . .}.






17. The system that Euclid used in The Elements






18. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.






19. If a is any whole number - then a






20. 4 more than a certain number is 12






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






22. When writing mathematical statements - follow the mantra:






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






24. All integers are thus divided into three classes:






25. A point in three-dimensional space requires three numbers to fix its location.






26. (a






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






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






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






30. Cannot be written as a ratio of natural numbers.






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






32. 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.






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






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






35. 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.






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






37. Whether or not we hear waves as sound has everything to do with their _____________ - or how many times every second the molecules switch from compression to rarefaction and back to compression again - and their intensity - or how much the air is com






38. A + b = b + a






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






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






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






42. If a = b then






43. 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.






44. Mathematical statement that equates two mathematical expressions.






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






46. 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






47. If grouping symbols are nested






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






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






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