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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. 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






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






3. A






4. 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.






5. Writing Mathematical equations - arrange your work one equation






6. Is the length around an object. Used to calculate such things as fencing around a yard - trimming a piece of material - and the amount of baseboard needed for a room.It is not necessary to have a formula since it is always just calculated by adding t






7. The study of shape from the perspective of being on the surface of the shape.






8. If a is any whole number - then a






9. 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.






10. Mathematical statement that equates two mathematical expressions.






11. 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.






12. The expression a/b means






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






14. If grouping symbols are nested






15. Reveals why we tend to find structure in seemingly random sets. Ramsey numbers indicate how big a set must be to guarantee the existence of certain minimal structures.






16. 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






17. If a = b then






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






19. The inverse of multiplication






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






21. 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.'






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






23. 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.






24. A · 1/a = 1/a · a = 1






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






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






27. An arrangement where order matters.






28. If its final digit is a 0.






29. Original Balance minus River Tam's Withdrawal is Current Balance






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






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






32. Solving Equations






33. You must always solve the equation set up in the previous step.






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






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






36. A flat map of hyperbolic space.






37. Index p radicand






38. 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






39. (a · b) · c = a · (b · c)






40. Cantor called the cardinality of all the sets that can be put into one-to-one correspondence with the counting numbers - or 'Aleph Null.'






41. The study of shape from an external perspective.






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






44. A · b = b · a






45. Means approximately equal.






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

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47. In the expression 3






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






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






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