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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. 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






2. We can think of the space between primes as 'prime deserts -' strings of consecutive numbers - none of which are prime.






3. An arrangement where order matters.






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. 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.






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






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






8. Has no factors other than 1 and itself






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






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






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






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






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






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






15. A + b = b + a






16. 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 -






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






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






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






20. 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.






21. 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






22. 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.'






23. 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






24. Positive integers are






25. 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).






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






27. Does not change the solution set. That is - if a = b - then multiplying both sides of the equation by c produces the equivalent equation a






28. If we start with a number x and add a number a - then subtracting a from the result will return us to the original number x. x + a - a = x. so -






29. In this type of geometry the angles of a triangle add up to more than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits no parallel lines as well as modify Euclid's first two postulates.






30. 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.






31. Index p radicand






32. 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






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






34. If its final digit is a 0.






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






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






37. An important part of problem solving is identifying






38. 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






39. The distribution of averages of many trials is always normal - even if the distribution of each trial is not.






40. 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.






41. This means that for any two magnitudes - one should always be able to find a fundamental unit that fits some whole number of times into each of them (i.e. - a unit whose magnitude is a whole number factor of each of the original magnitudes)






42. This result says that the symmetries of geometric objects can be expressed as groups of permutations.

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






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






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






46. A '___________' infinite set is one that can be put into one-to-one correspondence with the set of natural numbers.






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






48. 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.






49. Perform all additions and subtractions in the order presented






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







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