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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 way to measure how far away a given individual result is from the average result.






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






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






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






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






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






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






8. A way to analyze sequences of events where the outcomes of prior events affect the probability of outcomes of subsequent events.






9. When writing mathematical statements - follow the mantra:






10. 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).






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






12. 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.






13. Positive integers are






14. 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






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






16. The cardinality of sets that cannot be put into one-to-one correspondence with the counting numbers - such as the set of real numbers - is referred to as c. The designations A_0 and c are known as 'transfinite' cardinalities.






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






18. 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.






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






20. The study of shape from an external perspective.






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






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






23. Solving Equations






24. A · 1 = 1 · a = a






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






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






28. Originally known as analysis situs






29. 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






30. 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 -






31. Perform all additions and subtractions in the order presented






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






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






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






35. 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






36. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.






37. A · b = b · a






38. Is a path that visits every node in a graph and ends where it began.






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






40. Requirements for Word Problem Solutions.






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






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






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






44. If we start with a number x and multiply by a number a - then dividing the result by the number a returns us to the original number x. In symbols - a






45. A + b = b + a






46. In the expression 3






47. 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






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






49. If a = b then






50. 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