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






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. If a is any whole number - then a






4. A flat map of hyperbolic space.






5. If a = b then






6. Points in two-dimensional space require two numbers to specify them completely. The Cartesian plane is a good way to envision two-dimensional space.






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






8. ____________ 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






9. Also known as 'clock math -' incorporates 'wrap around' effects by having some number other than zero play the role of zero in addition - subtraction - multiplication - and division.






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






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






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






13. Multiplication is equivalent to






14. 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.






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






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






17. 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.






18. The expression a^m means a multiplied by itself m times. The number a is called the base of the exponential expression and the number m is called the exponent. The exponent m tells us to repeat the base a as a factor m times.






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






20. Negative






21. × - ( )( ) - · - 1. Multiply the numbers (ignoring the signs)2. The answer is positive if they have the same signs. 3. The answer is negative if they have different signs. 4. Alternatively - count the amount of negative numbers. If there are an even






22. Positive integers are






23. 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






24. The expression a/b means






25. A






26. In the expression 3






27. A way to extrinsically measure the curvature of a surface by looking at a given point and finding the contour line with the greatest curvature and the contour line with the least curvature.






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






29. 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






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






31. A + b = b + a






32. 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).






33. Are the fundamental building blocks of arithmetic.






34. 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






35. 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






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






37. The study of shape from an external perspective.






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






39. The fundamental theorem of arithmetic says that






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






41. 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






42. 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.






43. 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






44. Originally known as analysis situs






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






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






47. 1. Any two points can be joined by a straight line. 2. Any straight line segment can be extended indefinitely in a straight line. 3. Given any straight line segment - a circle can be drawn having the segment as radius and one endpoint as center. 4. A

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48. A · b = b · a






49. Has no factors other than 1 and itself






50. 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