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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. The amount of displacement - as measured from the still surface line.






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






3. (a






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






5. The inverse of multiplication






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






7. 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






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






9. 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).






10. 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.'






11. 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).






12. Writing Mathematical equations - arrange your work one equation






13. 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






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






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






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






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






18. Multiplication is equivalent to






19. Public key encryption allows two parties to communicate securely over an un-secured computer network using the properties of prime numbers and modular arithmetic. RSA is the modern standard for public key encryption.






20. 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






21. 1. Find the prime factorizations of each number.






22. 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).






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






24. In any ratio of two whole numbers - expressed as a fraction - we can interpret the first (top) number to be the 'counter -' or numerator






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






26. A number is divisible by 2






27. A topological object that can be used to study the allowable states of a given system.






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






29. Perform all additions and subtractions in the order presented






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






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






32. If grouping symbols are nested






33. A · b = b · a






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






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

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






37. An arrangement where order matters.






38. A






39. 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






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






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






42. A flat map of hyperbolic space.






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






44. 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






45. A + b = b + a






46. The system that Euclid used in The Elements






47. Cannot be written as a ratio of natural numbers.






48. If a is any whole number - then a






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






50. In this type of geometry the angles of a triangle add up to less than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits many parallel lines.