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






2. If a = b then a + c = b + c If a = b then a - c = b - c If a = b then a






3. 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






4. 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.






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






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






7. 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).






8. 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.






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






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






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






12. Dimension is how mathematicians express the idea of degrees of freedom






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






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






15. If a = b then






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






17. 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 -






18. Is a symbol (usually a letter) that stands for a value that may vary.






19. All integers are thus divided into three classes:






20. A






21. (a · b) · c = a · (b · c)






22. You must let your readers know what each variable in your problem represents. This can be accomplished in a number of ways: Statements such as 'Let P represent the perimeter of the rectangle.' - Labeling unknown values with variables in a table - Lab






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






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






25. Is the shortest string that contains all possible permutations of a particular length from a given set.






26. The system that Euclid used in The Elements






27. The fundamental theorem of arithmetic says that






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






29. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones






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






31. Add and subtract






32. A(b + c) = a · b + a · c a(b - c) = a · b - a · c






33. 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.






34. Adding the same quantity to both sides of an equation - if a = b - then adding c to both sides of the equation produces the equivalent equation a + c = b + c.






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






36. 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.






37. A + b = b + a






38. 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






39. In the expression 3






40. The expression a/b means






41. 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.






42. 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.






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






44. 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






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






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






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. Negative






49. Positive integers are






50. The state of appearing unchanged.