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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. Are the fundamental building blocks of arithmetic.






2. If the sum of its digits is divisible by 9 (ex: 3591 is divisible by 9 since 3 + 5 + 9 + 1 = 18 is divisible by 9).






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






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






5. An important part of problem solving is identifying






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






7. Means approximately equal.






8. Perform all additions and subtractions in the order presented






9. 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






10. If a is any whole number - then a






11. Division by zero is undefined. Each of the expressions 6






12. 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.






13. The answer to the question of why the primes occur where they do on the number line has eluded mathematicians for centuries. Gauss's Prime Number Theorem is perhaps one of the most famous attempts to find the 'pattern behind the primes.'






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

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15. Originally known as analysis situs






16. To describe and extend a numerical pattern






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






18. Some favor repeatedly dividing by 2 until the result is no longer divisible by 2. Then try repeatedly dividing by the next prime until the result is no longer divisible by that prime. The process terminates when the last resulting quotient is equal t






19. 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.






20. If grouping symbols are nested






21. Determines the likelihood of events that are not independent of one another.






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






24. Index p radicand






25. 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.'






26. All integers are thus divided into three classes:






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






28. A · 1 = 1 · a = a






29. 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






30. 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.'






31. 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)






32. ____________ 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






33. A flat map of hyperbolic space.






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






35. 1. Parentheses (or any grouping symbol {braces} - [square brackets] - |absolute value|)

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36. Positive integers are






37. 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






38. TA model of a sequence of random events. Each marble that passes through the system represents a trial consisting of as many random events as there are rows in the system.






39. An arrangement where order matters.






40. The fundamental theorem of arithmetic says that






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






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






43. 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.






44. Assuming that the air is of uniform density and pressure to begin with - a region of high pressure will be balanced by a region of low pressure - called rarefaction - immediately following the compression






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






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






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






48. If a = b then






49. This step is easily overlooked. For example - the problem might ask for Jane's age - but your equation's solution gives the age of Jane's sister Liz. Make sure you answer the original question asked in the problem. Your solution should be written in






50. GThe mathematical study of space. The geometry of a space goes hand in hand with how one defines the shortest distance between two points in that space.