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






2. 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






3. The fundamental theorem of arithmetic says that






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






5. If a = b then






6. A · b = b · a






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






8. 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.






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

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10. 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)






11. If a represents any whole number - then a






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






13. 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.






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






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






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






17. When writing mathematical statements - follow the mantra:






18. 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.'






19. (a · b) · c = a · (b · c)






20. 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.






21. The study of shape from an external perspective.






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






23. Every solution to a word problem must include a carefully crafted equation that accurately describes the constraints in the problem statement.






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






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






26. 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






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






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






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. 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






31. 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






32. If grouping symbols are nested






33. 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






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






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






36. 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






37. 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).






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






39. Mathematical statement that equates two mathematical expressions.






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






41. 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






42. 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.






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






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






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






46. If a = b then






47. A + 0 = 0 + a = a






48. An important part of problem solving is identifying






49. In the expression 3






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