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






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






3. Negative






4. × - ( )( ) - · - 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






5. 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






6. 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.






7. 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






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






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






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






11. Solving Equations






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






13. 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.






14. W = {0 - 1 - 2 - 3 - 4 - 5 - . . .} is called






15. Multiplication is equivalent to






16. The distribution of averages of many trials is always normal - even if the distribution of each trial is not.






17. The study of shape from an external perspective.






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

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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. 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 -






21. When writing mathematical statements - follow the mantra:






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






23. The state of appearing unchanged.






24. 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






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






26. If grouping symbols are nested






27. A topological object that can be used to study the allowable states of a given system.






28. An object possessing continuous symmetries can remain invariant while one symmetry is turned into another. A circle is an example of an object with continuous symmetries.






29. 4 more than a certain number is 12






30. Requirements for Word Problem Solutions.






31. 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.






32. 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.






33. An arrangement where order matters.






34. Means approximately equal.






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






36. A · 1 = 1 · a = a






37. If its final digit is a 0.






38. Are the fundamental building blocks of arithmetic.






39. A flat map of hyperbolic space.






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






41. 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.






42. (a






43. 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






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






45. A + 0 = 0 + a = a






46. The inverse of multiplication






47. Positive integers are






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






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






50. 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