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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. This famous - as yet unproven - result relates to the distribution of prime numbers on the number line.






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






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






4. 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






5. 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.'






6. A point in four-space - also known as 4-D space - requires four numbers to fix its position. Four-space has a fourth independent direction - described by 'ana' and 'kata.'






7. Multiplication is equivalent to






8. A · b = b · a






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. If grouping symbols are nested






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






12. If a represents any whole number - then a






13. 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






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






15. If a = b then






16. 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).






17. A · 1 = 1 · a = a






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






19. This ubiquitous result describes the outcomes of many trials of events from a wide array of contexts. It says that most results cluster around the average with few results far above or far below average.






20. Does not change the solution set. That is - if a = b - then dividing both sides of the equation by c produces the equivalent equation a/c = b/c - provided c = 0.






21. If a and b are any whole numbers - then a






22. 1. Parentheses (or any grouping symbol {braces} - [square brackets] - |absolute value|)


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






24. 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






25. 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.






26. Mathematical statement that equates two mathematical expressions.






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






28. A + (-a) = (-a) + a = 0






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. Negative






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






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






33. 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


34. An important part of problem solving is identifying






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






36. Whether or not we hear waves as sound has everything to do with their _____________ - or how many times every second the molecules switch from compression to rarefaction and back to compression again - and their intensity - or how much the air is com






37. Means approximately equal.






38. The system that Euclid used in The Elements






39. 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






40. If we start with a number x and subtract a number a - then adding a to the result will return us to the original number x. In symbols - x - a + a = x. So -






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






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






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






44. 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






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






46. Perform all additions and subtractions in the order presented






47. Originally known as analysis situs






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






49. TA model of a sequence of random events. Each marble that passes through the system represents a trial consisting of as many random events as there are rows in the system.






50. 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