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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. Means approximately equal.






2. 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.






3. Originally known as analysis situs






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






5. If a = b then






6. 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.






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






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






9. 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.






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






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






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






13. 1. Find the prime factorizations of each number. To find the prime factorization one method is a factor tree where you begin with any two factors and proceed by dividing the numbers until all the ends are prime factors. 2. Star factors which are shar






14. A topological invariant that relates a surface's vertices - edges - and faces.






15. 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






16. Has no factors other than 1 and itself






17. 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






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






19. 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






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






21. 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.






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






23. A · 1 = 1 · a = a






24. 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






25. The inverse of multiplication






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






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






28. A · b = b · a






29. Solving Equations






30. 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)






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






32. Let a - b - and c be any whole numbers. Then - a






33. 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).






34. A + b = b + a






35. The multitude concept presented numbers as collections of discrete units - rather like indivisible atoms.






36. 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.






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






38. The study of shape from an external perspective.






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






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






41. 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






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






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






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






45. 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






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






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






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






49. 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.






50. Mathematical statement that equates two mathematical expressions.