Test your basic knowledge |

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 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.






2. 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.






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






4. 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






5. 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.






6. A point in four-space - also known as 4-D space - requires four numbers to fix its position. Four-space has a fourth independent direction - described by 'ana' and 'kata.'






7. 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).






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






9. An algebraic 'sentence' containing an unknown quantity.






10. 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






11. 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 -






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






13. If a represents any whole number - then a






14. 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.






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






16. A way to measure how far away a given individual result is from the average result.






17. Solving Equations






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






19. An arrangement where order matters.






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






21. 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






22. If a = b then






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






24. Multiplication is equivalent to






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






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






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






28. A · 1 = 1 · a = a






29. If its final digit is a 0.






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






31. Also known as 'clock math -' incorporates 'wrap around' effects by having some number other than zero play the role of zero in addition - subtraction - multiplication - and division.






32. When comparing two whole numbers a and b - only one of three possibilities is true: a < b or a = b or a > b.






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






34. Originally known as analysis situs






35. It is important to note that this step does not imply that you should simply check your solution in your equation. After all - it's possible that your equation incorrectly models the problem's situation - so you could have a valid solution to an inco






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






37. Writing Mathematical equations - arrange your work one equation






38. 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.






39. Index p radicand






40. 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.






41. All integers are thus divided into three classes:






42. The multitude concept presented numbers as collections of discrete units - rather like indivisible atoms.






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






44. The study of shape from an external perspective.






45. 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.






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






47. If grouping symbols are nested






48. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones






49. The fundamental theorem of arithmetic says that






50. Add and subtract