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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. All integers are thus divided into three classes:






2. If a is any whole number - then a






3. 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.






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






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






6. A · 1 = 1 · a = a






7. 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.






8. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.






9. Breaks a complicated signal into a combination of simple sine waves. Fourier synthesis does the opposite - constructing a complicated signal from simple sine waves.






10. Every whole number can be uniquely factored as a product of primes. This result guarantees that if the prime factors are ordered from smallest to largest - everyone will get the same result when breaking a number into a product of prime factors.






11. A group is just a collection of objects (i.e. - elements in a set) that obey a few rules when combined or composed by an operation. In order for a set to be considered a group under a certain operation - each element must have an inverse - the set mu






12. (a + b) + c = a + (b + c)






13. 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






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






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






16. 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.






17. 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






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






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






20. The fundamental theorem of arithmetic says that






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






22. 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 -






23. 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.






24. 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.






25. Perform all additions and subtractions in the order presented






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






27. 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






28. A + (-a) = (-a) + a = 0






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






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






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






32. The inverse of multiplication






33. If a - b - and c are any whole numbers - then a






34. Use parentheses - brackets - or curly braces to delimit the part of an expression you want evaluated first.






35. 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.






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






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






38. Rules for Rounding - To round a number to a particular place - follow these steps:






39. If a = b then






40. 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.






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






42. When writing mathematical statements - follow the mantra:






43. If grouping symbols are nested






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






45. Mathematical statement that equates two mathematical expressions.






46. If a = b then






47. 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






48. If a = b then






49. If its final digit is a 0.






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