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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. 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.






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






3. We can think of the space between primes as 'prime deserts -' strings of consecutive numbers - none of which are prime.






4. Originally known as analysis situs






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






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






7. If a represents any whole number - then a






8. 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).






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






10. In a mathematical sense - it is a transformation that leaves an object invariant. Symmetry is perhaps most familiar as an artistic or aesthetic concept. Designs are said to be symmetric if they exhibit specific kinds of balance - repetition - and/or






11. A · b = b · a






12. 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






13. Cannot be written as a ratio of natural numbers.






14. 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)






15. Division by zero is undefined. Each of the expressions 6






16. 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.






17. If its final digit is a 0.






18. 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






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






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






21. In any ratio of two whole numbers - expressed as a fraction - we can interpret the first (top) number to be the 'counter -' or numerator






22. All integers are thus divided into three classes:






23. N = {1 - 2 - 3 - 4 - 5 - . . .}.






24. 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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25. An algebraic 'sentence' containing an unknown quantity.






26. 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






27. 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.






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






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






30. The state of appearing unchanged.






31. Used to display measurements. The measurement was taken is placed on the horizontal axis - and the height of each bar equals the amount during that year.






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






33. A · 1/a = 1/a · a = 1






34. In this type of geometry the angles of a triangle add up to more than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits no parallel lines as well as modify Euclid's first two postulates.






35. (a






36. 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






37. A graph in which every node is connected to every other node is called a complete graph.






38. 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.






39. 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.






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






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






42. 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 -






43. An arrangement where order matters.






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






45. Uses second derivatives to relate acceleration in space to acceleration in time.






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






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






48. A + 0 = 0 + a = a






49. Because of the associate property of addition - when presented with a sum of three numbers - whether you start by adding the first two numbers or the last two numbers - the resulting sum is






50. A






Can you answer 50 questions in 15 minutes?



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