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






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






3. Codifies the 'average behavior' of a random event and is a key concept in the application of probability.






4. Multiplication is equivalent to






5. 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






6. This area of mathematics relates symmetry to whether or not an equation has a 'simple' solution.






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






8. 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).






9. An object possessing continuous symmetries can remain invariant while one symmetry is turned into another. A circle is an example of an object with continuous symmetries.






10. The state of appearing unchanged.






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






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






13. (a · b) · c = a · (b · c)






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






15. If grouping symbols are nested






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






17. A · 1 = 1 · a = a






18. 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.






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






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






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






22. Means approximately equal.






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


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






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






26. 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.






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






28. Requirements for Word Problem Solutions.






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






30. 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).






31. Index p radicand






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






33. 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.






34. Writing Mathematical equations - arrange your work one equation






35. At each level of the tree - break the current number into a product of two factors. The process is complete when all of the 'circled leaves' at the bottom of the tree are prime numbers. Arranging the factors in the 'circled leaves' in order. The fina






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






37. 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






38. A sphere can be thought of as a stack of circular discs of increasing - then decreasing - radii. The process of slicing is one way to visualize higher-dimensional objects via level curves and surfaces. A hypersphere can be thought of as a 'stack' of






39. 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.






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






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






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






43. 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.






44. If its final digit is a 0.






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






46. The system that Euclid used in The Elements






47. The expression a/b means






48. Negative






49. Solving Equations






50. 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