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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. Originally known as analysis situs






2. This ubiquitous result describes the outcomes of many trials of events from a wide array of contexts. It says that most results cluster around the average with few results far above or far below average.






3. Positive integers are






4. 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






5. If a = b then






6. Says that when a random process - such as dropping marbles through a Galton board - is repeated many times - the frequencies of the observed outcomes get increasingly closer to the theoretical probabilities.






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






8. If grouping symbols are nested






9. A number is divisible by 2






10. The fundamental theorem of arithmetic says that






11. (a · b) · c = a · (b · c)






12. Let a - b - and c represent whole numbers. Then - (a + b) + c = a + (b + c).






13. Has no factors other than 1 and itself






14. Objects are topologically equivalent if they can be continuously deformed into one another. Properties that are preserved during this process are called topological invariants.






15. 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.'






16. If a = b then






17. 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.






18. A + b = b + a






19. Is a symbol (usually a letter) that stands for a value that may vary.






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






21. The study of shape from an external perspective.






22. 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






23. 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.






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






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






26. Because of the associate property of addition - when presented with a sum of three numbers - whether you start by adding the first two numbers or the last two numbers - the resulting sum is






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






28. 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.






29. ____________ theory enables us to use mathematics to characterize and predict the behavior of random events. By 'random' we mean 'unpredictable' in the sense that in a given specific situation - our knowledge of current conditions gives us no way to






30. 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.






31. Requirements for Word Problem Solutions.






32. A






33. Writing Mathematical equations - arrange your work one equation






34. 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






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






36. 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






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. 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).






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






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






41. This important result says that every natural number greater than one can be expressed as a product of primes in exactly one way.






42. If its final digit is a 0.






43. The system that Euclid used in The Elements






44. The cardinality of sets that cannot be put into one-to-one correspondence with the counting numbers - such as the set of real numbers - is referred to as c. The designations A_0 and c are known as 'transfinite' cardinalities.






45. An instrument's _____ - the sound it produces - is a complex mixture of waves of different frequencies.






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






47. The state of appearing unchanged.






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

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49. A · 1 = 1 · a = a






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